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Prof. Dr.

Christian Rohde

Head of Group
Institute of Applied Analysis and Numerical Simulation
Chair of Applied Mathematics

Contact

+49 711 685-65524
+49 711 685-65599
Email

Pfaffenwaldring 57
70569 Stuttgart
Deutschland
Room: 7.131

Consultation

Friday, 10:30-11:30

Publications

2018
1. G. P. Raja Sekhar, V. Sharanya, and C. Rohde, “Effect of surfactant concentration and interfacial slip on the flow past a viscous drop at low surface Péclet number,” erscheint bei Int. J. Multiph. Flow, 2018.
  - BibTeX
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  @article{rajasekhar2018effect, abstract = {The motion of a viscous drop is investigated when the interface is fully covered with a stagnant layer of surfactant in an arbitrary unsteady Stokes flow for the low surface P\'eclet number limit. The effect of the interfacial slip coefficient on the behavior of the flow field is also considered. The hydrodynamic problem is solved by the solenoidal decomposition method and the drag force is computed in terms of Faxen's laws using a perturbation ansatz in powers of the surface P\'eclet number. The analytical expressions for the migration velocity of the drop are also obtained in powers of the surface P\'eclet number. Further instances corresponding to a given ambient flow as uniform flow, Couette flow, Poiseuille flow are analyzed. Moreover, it is observed that, a surfactant-induced cross-stream migration of the drop occur towards the centre-line in both Couette flow and Poiseuille flow cases. The variation of the drag force and migration velocity is computed for different parameters such as P\'eclet number, Marangoni number etc.}, added-at = {2018-07-16T09:54:04.000+0200}, author = {Raja Sekhar, G. P. and Sharanya, V. and Rohde, Christian}, interhash = {14a4303748c39aa35247dc043faf0b3d}, intrahash = {4e7ed2035c6269116bed10a3f751aba8}, journal = {erscheint bei Int. J. Multiph. Flow}, keywords = {imported vorlaeufig}, owner = {szur}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Effect of surfactant concentration and interfacial slip on the flow past a viscous drop at low surface Péclet number}, url = {http://arxiv.org/abs/1609.03410}, year = 2018 }
2. S. Fechter, C.-D. Munz, C. Rohde, and C. Zeiler, “Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension,” Comput. & Fluids, vol. 169, pp. 169–185, 2018.
  - BibTeX
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  @article{fechter2018approximate, added-at = {2018-07-16T09:54:04.000+0200}, author = {Fechter, Stefan and Munz, Claus-Dieter and Rohde, Christian and Zeiler, Christoph}, doi = {http://dx.doi.org/10.1016/j.compfluid.2017.03.026}, interhash = {238397711ecea5e7795d9c1d0c464a2c}, intrahash = {64c6ab6f80763f906787866946290c49}, journal = {Comput. \& Fluids}, keywords = {imported vorlaeufig}, owner = {szur}, pages = {169-185}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension}, url = {http://www.sciencedirect.com/science/article/pii/S004579301730107X}, volume = 169, year = 2018 }
3. T. Kuhn, J. Dürrwächter, A. Beck, C.-D. Munz, F. Meyer, and C. Rohde, “Uncertainty Quantification for Direct Aeroacoustic Simulations of Cavity Flows,” 2018.
  - BibTeX
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  @techreport{kuhn2018uncertainty, abstract = {We investigate the influence of uncertain input parameters on the aeroacoustic feedback of cavity flows. The so-called Rossiter feedback requires a direct numerical computation of the acoustic noise, which solves hydrodynamics and acoustics simultaneously, in order to capture the interaction of acoustic waves and the hydrodynamics of the flow. Due to the large bandwidth of spatial and temporal scales, a high order numerical scheme with low dissipation and dispersion error is necessary to preserve important small scale information. Therefore, the open-source CFD solver FLEXI, which is based on a high-order discontinuous Galerkin spectral element method, is used to perform the aforementioned direct simulations of an open cavity configuration with a laminar upstream boundary layer. To analyse the precision of the deterministic cavity simulation with respect to random input parameters we establish a framework for uncertainty quantification. In particular, a non-intrusive spectral projection method with Legendre and Hermite polynomial basis functions is employed in order to treat uniform and normal probability distributions of the uncertain input. The results indicate a strong, non-linear dependency of the acoustic feedback mechanism on the investigated uncertain input parameters. An analysis of the stochastic results offers new insights into the noise generation process of open cavity flows and reveals the strength of the implemented uncertainty quantification framework.}, added-at = {2018-07-16T09:54:04.000+0200}, author = {Kuhn, T. and D\"{u}rrw\"{a}chter, J. and Beck, A. and Munz, C.-D. and Meyer, F. and Rohde, C.}, interhash = {2ae16f8404bf213482895b33b375e7d1}, intrahash = {4f0e872836cb11cc0fbf26fca037a766}, keywords = {imported vorlaeufig}, owner = {meyerfn}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Uncertainty Quantification for Direct Aeroacoustic Simulations of Cavity Flows}, url = {http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=1891}, volume = {(submitted)}, year = 2018 }
4. C. Rohde and C. Zeiler, “On Riemann Solvers and Kinetic Relations for Isothermal Two-Phase Flows with Surface Tension,” Z. Angew. Math. Phys., p. 69:76, 2018.
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  @article{rohde2018riemann, added-at = {2018-07-16T09:54:04.000+0200}, author = {Rohde, C. and Zeiler, C.}, interhash = {4be52ef049d5f7a6e6015b34c59d92a1}, intrahash = {e259329ce04d69b001a1bbbb1225ac04}, journal = {Z. Angew. Math. Phys.}, keywords = {imported vorlaeufig}, owner = {szur}, pages = {69:76}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {On Riemann Solvers and Kinetic Relations for Isothermal Two-Phase Flows with Surface Tension}, url = {https://doi.org/10.1007/s00033-018-0958-1}, year = 2018 }
5. M. Köppel, “Flow in heterogeneous porous media : fractures and uncertainty quantification,” Verlag Dr. Hut, München, 2018.
  - BibTeX
  @phdthesis{koppel2018heterogeneous, added-at = {2018-09-20T11:30:50.000+0200}, author = {Köppel, Markus}, eventdate = {2018-07-31}, institution = {Universität Stuttgart}, interhash = {b4c3415296c3545b9b53d036e475383e}, intrahash = {f2d3c2ada4bd175f43440830d8ed1ca2}, isbn = {978-3-8439-3731-3}, keywords = {unibibliografie diss phsimtech}, language = {eng}, location = {München}, pagetotal = {II, 171}, publisher = {Verlag Dr. Hut}, supervisor = {Rohde, Christian}, supervisorgnd = {1034033425}, timestamp = {2018-09-20T11:30:50.000+0200}, title = {Flow in heterogeneous porous media : fractures and uncertainty quantification}, type = {Dissertation}, year = 2018 }
6. D. Seus, K. Mitra, I. S. Pop, F. A. Radu, and C. Rohde, “A linear domain decomposition method for partially saturated flow in porous media,” Comp. Methods in Appl. Mech. Eng, vol. 333, pp. 331--355, 2018.
  - BibTeX
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  @article{seus2018linear, abstract = {Abstract The Richards equation is a nonlinear parabolic equation that is commonly used for modelling saturated/unsaturated flow in porous media. We assume that the medium occupies a bounded Lipschitz domain partitioned into two disjoint subdomains separated by a fixed interface Γ . This leads to two problems defined on the subdomains which are coupled through conditions expressing flux and pressure continuity at Γ . After an Euler implicit discretisation of the resulting nonlinear subproblems, a linear iterative ( L -type) domain decomposition scheme is proposed. The convergence of the scheme is proved rigorously. In the last part we present numerical results that are in line with the theoretical finding, in particular the convergence of the scheme under mild restrictions on the time step size. We further compare the scheme to other approaches not making use of a domain decomposition. Namely, we compare to a Newton and a Picard scheme. We show that the proposed scheme is more stable than the Newton scheme while remaining comparable in computational time, even if no parallelisation is being adopted. After presenting a parametric study that can be used to optimise the proposed scheme, we briefly discuss the effect of parallelisation and give an example of a four-domain implementation.}, added-at = {2018-07-16T09:54:04.000+0200}, author = {Seus, David and Mitra, Koondanibha and Pop, Iuliu Sorin and Radu, Florin Adrian and Rohde, Christian}, doi = {https://doi.org/10.1016/j.cma.2018.01.029}, interhash = {d47c491f240e9476bc8745d110eec997}, intrahash = {af8b36c0b41178a155ab768e0e7ee8c1}, issn = {0045-7825}, journal = {Comp. Methods in Appl. Mech. Eng}, keywords = {decomposition Domain vorlaeufig}, owner = {seusdd}, pages = {331--355}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A linear domain decomposition method for partially saturated flow in porous media }, url = {https://www.sciencedirect.com/science/article/pii/S0045782518300318}, volume = 333, year = 2018 }
2017
1. S. Fechter, C.-D. Munz, C. Rohde, and C. Zeiler, “A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension,” J. Comput. Phys., vol. 336, pp. 347–374, 2017.
  - BibTeX
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  @article{fechter2017sharp, abstract = {The numerical approximation of non-isothermal liquid-vapor flow within the compressible regime is a difficult task because complex physical effects at the phase interfaces can govern the global flow behavior. We present a sharp interface approach which treats the interface as a shock-wave like discontinuity. Any mixing of fluid phases is avoided by using the flow solver in the bulk regions only, and a ghost-fluid approach close to the interface. The coupling states for the numerical solution in the bulk regions are determined by the solution of local multi-phase Riemann problems across the interface. The Riemann solution accounts for the relevant physics by enforcing appropriate jump conditions at the phase boundary. A wide variety of interface effects can be handled in a thermodynamically consistent way. This includes surface tension or mass/energy transfer by phase transition. Moreover, the local normal speed of the interface, which is needed to calculate the time evolution of the interface, is given by the Riemann solution. The interface tracking itself is based on a level-set method. The focus in this paper is the description of the multi-phase Riemann solver and its usage within the sharp interface approach. One-dimensional problems are selected to validate the approach. Finally, the three-dimensional simulation of a wobbling droplet and a shock droplet interaction in two dimensions are shown. In both problems phase transition and surface tension determine the global bulk behavior.}, added-at = {2018-07-16T09:54:04.000+0200}, author = {Fechter, Stefan and Munz, Claus-Dieter and Rohde, Christian and Zeiler, Christoph}, doi = {http://dx.doi.org/10.1016/j.jcp.2017.02.001}, interhash = {1db17d28fd524bfc25df47ed16286487}, intrahash = {7e8bb871959ae6710fc36f435f60470c}, journal = {J. Comput. Phys.}, keywords = {phase resolution; compressible surface sharp interface method; tension; ghost-fluid latent transition; flow; vorlaeufig heat two-phase}, owner = {seusdd}, pages = {347-374}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension}, url = {http://www.sciencedirect.com/science/article/pii/S0021999117300943}, volume = 336, year = 2017 }
2. M. Köppel, I. Kroeker, and C. Rohde, “Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media,” COMPUTATIONAL GEOSCIENCES, vol. 21, no. 4, pp. 807–832, 2017.
  - BibTeX
  @article{koppel2017intrusive, added-at = {2018-07-30T10:57:14.000+0200}, affiliation = {Koppel, M (Reprint Author), Univ Stuttgart, IANS, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Koeppel, M.; Rohde, C., Univ Stuttgart, IANS, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Kroeker, I., Univ Stuttgart, IANS, Pfaffenwaldring 5a, D-70569 Stuttgart, Germany.}, author = {Köppel, Markus and Kroeker, Ilja and Rohde, Christian}, da = {2018-06-12}, doi = {10.1007/s10596-017-9662-z}, eissn = {1573-1499}, interhash = {544438a0c1e16cf79edf7f3c9f07965e}, intrahash = {d7d7f15340b910fd52c88cd0873f2aea}, issn = {1420-0597}, journal = {COMPUTATIONAL GEOSCIENCES}, keywords = {unibibliografie wos mult}, language = {English}, month = AUG, number = 4, pages = {807-832}, publisher = {SPRINGER}, research-areas = {Computer Science; Geology}, timestamp = {2018-07-30T10:57:14.000+0200}, title = {Intrusive uncertainty quantification for hyperbolic-elliptic systems governing two-phase flow in heterogeneous porous media}, type = {Article}, unique-id = {ISI:000405513900013}, volume = 21, year = 2017 }
3. M. Köppel, I. Kröker, and C. Rohde, “Intrusive Uncertainty Quantification for Hyperbolic-Elliptic Systems Governing Two-Phase Flow in Heterogeneous Porous Media,” Comput. Geosci., vol. 21, pp. 807–832, 2017.
  - BibTeX
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  @article{koppel2017intrusive, added-at = {2018-07-16T09:54:04.000+0200}, author = {Köppel, Markus and Kröker, Ilja and Rohde, Christian}, doi = {10.1007/s10596-017-9662-z}, interhash = {564c38ce9651a8b8885f291523820bdb}, intrahash = {c7fd0741fbad80636fbe93b466e8a78c}, journal = {Comput. Geosci.}, keywords = {imported vorlaeufig}, owner = {szur}, pages = {807-832}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Intrusive Uncertainty Quantification for Hyperbolic-Elliptic Systems Governing Two-Phase Flow in Heterogeneous Porous Media}, url = {https://link.springer.com/article/10.1007%2Fs10596-017-9662-z}, volume = 21, year = 2017 }
4. C. Chalons, C. Rohde, and M. Wiebe, “A Finite Volume Method for Undercompressive Shock Waves in Two Space Dimensions,” ESAIM Math. Model. Numer. Anal., vol. 51, no. 5, pp. 1987–2015, 2017.
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  @article{chalons2017finite, added-at = {2018-07-16T09:54:04.000+0200}, author = {Chalons, Christophe. and Rohde, Christian and Wiebe, Maria}, doi = {https://doi.org/10.1051/m2an/2017027}, interhash = {5a2ed84a52b94eee65a11a951c94a201}, intrahash = {ad3a50ee058b30ed817eb1314fcd39a4}, journal = {ESAIM Math. Model. Numer. Anal.}, keywords = {imported vorlaeufig}, month = {September-October 2017}, number = 5, owner = {seusdd}, pages = {1987-2015}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A Finite Volume Method for Undercompressive Shock Waves in Two Space Dimensions}, url = {https://www.esaim-m2an.org/component/article?access=doi&doi=10.1051/m2an/2017027}, volume = 51, year = 2017 }
5. M. Köppel et al., “Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario,” 2017.
  - BibTeX
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  @techreport{koppel2017comparison, abstract = {A variety of methods is available to quantify uncertainties arising within the modeling of flow and transport in carbon dioxide storage, but there is a lack of thorough comparisons. Usually, raw data from such storage sites can hardly be described by theoretical statistical distributions since only very limited data is available. Hence, exact information on distribution shapes for all uncertain parameters is very rare in realistic applications. We discuss and compare four different methods tested for data-driven uncertainty quantification based on a benchmark scenario of carbon dioxide storage. In the benchmark, for which we provide data and code, carbon dioxide is injected into a saline aquifer modeled by the nonlinear capillarity-free fractional flow formulation for two incompressible fluid phases, namely carbon dioxide and brine. To cover different aspects of uncertainty quantification, we incorporate various sources of uncertainty such as uncertainty of boundary conditions, of conceptual model definitions and of material properties. We consider recent versions of the following non-intrusive and intrusive uncertainty quantification methods: arbitary polynomial chaos, spatially adaptive sparse grids, kernel-based greedy interpolation and hybrid stochastic Galerkin. The performance of each approach is demonstrated assessing expectation value and standard deviation of the carbon dioxide saturation against a reference statistic based on Monte Carlo sampling. We compare the convergence of all methods reporting on accuracy with respect to the number of model runs and resolution. Finally we offer suggestions about the methods’ advantages and disadvantages that can guide the modeler for uncertainty quantification in carbon dioxide storage and beyond.}, added-at = {2018-07-16T09:54:04.000+0200}, author = {K\{"o}ppel, M. and Franzelin, F. and Kr\{"o}ker, I. and Oladyshkin, S. and Santin, G. and Wittwar, D. and Barth, A. and Haasdonk, B. and Nowak, W. and Pfl\{"u}ger, D. and Rohde, C.}, interhash = {66a6dded3b9b8467bee3af6bc17f61df}, intrahash = {4bcc81a3a13a3a12298a77420c04bb1f}, keywords = {imported vorlaeufig}, owner = {santinge}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario}, url = {http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=1759}, year = 2017 }
6. M. Kutter, C. Rohde, and A.-M. Sändig, “Well-Posedness of a Two Scale Model for Liquid Phase Epitaxy with Elasticity,” Contin. Mech. Thermodyn., vol. 29, no. 4, pp. 989–1016, 2017.
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  @article{kutter2017wellposedness, added-at = {2018-07-16T09:54:04.000+0200}, author = {Kutter, Michael and Rohde, Christian and S\"andig, Anna-Margarete}, doi = {10.1007/s00161-015-0462-1}, interhash = {6bd6b727acd4d159816a6108339ac0f4}, intrahash = {3dd6f86fc81e402da2863b42b274769f}, issn = {0935-1175}, journal = {Contin. Mech. Thermodyn.}, keywords = {phase Phase solutions Two-scale elasticity; regularity models; with Liquid of field and epitaxy model; vorlaeufig Existence}, number = 4, owner = {seusdd}, pages = {989-1016}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Well-Posedness of a Two Scale Model for Liquid Phase Epitaxy with Elasticity}, url = {http://dx.doi.org/10.1007/s00161-015-0462-1}, volume = 29, year = 2017 }
7. A. Armiti-Juber and C. Rohde, “On Darcy-and Brinkman-Type Models for Two-Phase Flow in Asymptotically Flat Domains,” 2017.
  - BibTeX
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  @article{armitijuber2017darcyand, added-at = {2018-07-16T09:54:04.000+0200}, author = {Armiti-Juber, A. and Rohde, C.}, interhash = {8b971a888b6dc14ad0fa09e1b2482467}, intrahash = {9789ae05a61f6298a78eee300a663090}, keywords = {imported vorlaeufig}, owner = {seusdd}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {On Darcy-and Brinkman-Type Models for Two-Phase Flow in Asymptotically Flat Domains}, url = {https://arxiv.org/abs/1712.07470 }, year = 2017 }
8. M. Kutter, C. Rohde, and A.-M. Sändig, “Well-posedness of a two-scale model for liquid phase epitaxy with elasticity,” CONTINUUM MECHANICS AND THERMODYNAMICS, vol. 29, no. 4, pp. 989–1016, 2017.
  - BibTeX
  @article{kutter2017wellposedness, added-at = {2018-07-30T10:57:14.000+0200}, affiliation = {Kutter, M (Reprint Author), Univ Stuttgart, Inst Appl Anal \& Numer Simulat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Kutter, Michael; Rohde, Christian; Saendig, Anna-Margarete, Univ Stuttgart, Inst Appl Anal \& Numer Simulat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany.}, author = {Kutter, Michael and Rohde, Christian and Sändig, Anna-Margarete}, da = {2018-06-12}, doi = {10.1007/s00161-015-0462-1}, eissn = {1432-0959}, interhash = {9f0fbecdd7c5d4f5d33549ec9aca7edc}, intrahash = {343e6c05db39a8191e0a37aa8f375a44}, issn = {0935-1175}, journal = {CONTINUUM MECHANICS AND THERMODYNAMICS}, keywords = {unibibliografie wos}, language = {English}, month = JUL, number = 4, pages = {989-1016}, publisher = {SPRINGER}, research-areas = {Thermodynamics; Mechanics}, timestamp = {2018-07-30T10:57:14.000+0200}, title = {Well-posedness of a two-scale model for liquid phase epitaxy with elasticity}, type = {Article}, unique-id = {ISI:000403509700008}, volume = 29, year = 2017 }
9. D. Seus, F. A. Radu, and C. Rohde, “A linear domain decomposition method for two-phase flow in porous media,” 2017.
  - BibTeX
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  @inproceedings{seus2017linear, added-at = {2018-07-16T09:54:04.000+0200}, author = {Seus, David and Radu, Florin A. and Rohde, Christian}, doi = {arXiv:1712.04869}, interhash = {c84c5b6b1cf34c248ae5f873600be8e1}, intrahash = {44d935569bca912e7c87f3238d659e8a}, keywords = {imported vorlaeufig}, owner = {seusdd}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A linear domain decomposition method for two-phase flow in porous media}, url = {http://arxiv.org/abs/1712.04869}, year = 2017 }
10. J. Giesselmann, F. Meyer, and C. Rohde, “A posteriori error analysis for random scalar conservation laws using the Stochastic Galerkin method.,” 2017.
  - BibTeX
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  @techreport{giesselmann2017posteriori, abstract = {In this article we present an a posteriori error estimator for the spatial-stochastic error of a Galerkin-type discretisation of an initial value problem for a random hyperbolic conservation law. For the stochastic discretisation we use the Stochastic Galerkin method and for the spatial-temporal discretisation of the Stochastic Galerkin system a Runge-Kutta Discontinuous Galerkin method. The estimator is obtained using smooth reconstructions of the discrete solution. Combined with the relative entropy stability framework of Dafermos \cite{dafermos2005hyperbolic}, this leads to computable error bounds for the space-stochastic discretisation error. \\ Moreover, it turns out that the error estimator admits a splitting into one part representing the spatial error, and a remaining term, which can be interpreted as the stochastic error. This decomposition allows us to balance the errors arising from spatial and stochastic discretisation. We conclude with some numerical examples confirming the theoretical findings. }, added-at = {2018-07-16T09:54:04.000+0200}, author = {Giesselmann, J. and Meyer, F. and Rohde, C.}, interhash = {d62dec65886d21b9d7177beb7f24a692}, intrahash = {b425eb1a23f331bac52e9f306c34e6d6}, keywords = {imported vorlaeufig}, owner = {meyerfn}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A posteriori error analysis for random scalar conservation laws using the Stochastic Galerkin method.}, url = {https://arxiv.org/abs/1709.04351}, volume = {(submitted)}, year = 2017 }
11. J. Magiera and C. Rohde, “A Particle-based Multiscale Solver for Compressible Liquid-Vapor Flow,” erscheint bei Springer Proc. Math. Stat., 2017.
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  @article{magiera2017particlebased, added-at = {2018-07-16T09:54:04.000+0200}, author = {Magiera, J. and Rohde, C.}, interhash = {db06939996e216b6c22eee31e6a06acd}, intrahash = {93cb59b4a598b1bc1d7b95268561259b}, journal = {erscheint bei Springer Proc. Math. Stat.}, keywords = {imported vorlaeufig}, note = {submitted}, owner = {szur}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A Particle-based Multiscale Solver for Compressible Liquid-Vapor Flow}, url = {https://arxiv.org/abs/1804.01411}, year = 2017 }
2016
1. M. Dumbser, G. Gassner, C. Rohde, and S. Roller, “Preface to the special issue ``Recent Advances in Numerical Methods for Hyperbolic Partial Differential Equations’’,” Appl. Math. Comput., vol. 272, no. part 2, pp. 235--236, 2016.
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  @article{dumbser2016preface, added-at = {2018-07-16T09:54:04.000+0200}, author = {Dumbser, Michael and Gassner, Gregor and Rohde, Christian and Roller, Sabine}, doi = {10.1016/j.amc.2015.11.023}, fjournal = {Applied Mathematics and Computation}, interhash = {24bc33147962fca5439ac67b6b33c4f2}, intrahash = {458e3d6b098f70832cbdd343183b1aef}, issn = {0096-3003}, journal = {Appl. Math. Comput.}, keywords = {imported vorlaeufig}, mrclass = {Preliminary Data}, mrnumber = {3421104}, number = {part 2}, owner = {joosde}, pages = {235--236}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Preface to the special issue ``{R}ecent {A}dvances in {N}umerical {M}ethods for {H}yperbolic {P}artial {D}ifferential {E}quations''}, url = {http://dx.doi.org/10.1016/j.amc.2015.11.023}, volume = 272, year = 2016 }
2. B. Kabil and C. Rohde, “Persistence of undercompressive phase boundaries for isothermal Euler equations including configurational forces and surface tension,” Math. Meth. Appl. Sci., vol. 39, no. 18, pp. 5409--5426, 2016.
  - BibTeX
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  @article{kabil2016persistence, added-at = {2018-07-16T09:54:04.000+0200}, author = {Kabil, Buğra and Rohde, Christian}, doi = {10.1002/mma.3926}, interhash = {27fffda610d3c09f0cff351297745da3}, intrahash = {e202ba3f90de63e7211e5f050ddf45ec}, journal = {Math. Meth. Appl. Sci.}, keywords = {liquid-vapor stability, interface, adjoint symmetrizer, energy problem condition, uniform Kreiss–Lopatinskiı̆ linearized estimate, well-posedness, Kreiss vorlaeufig}, number = 18, owner = {szur}, pages = {5409--5426}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Persistence of undercompressive phase boundaries for isothermal Euler equations including configurational forces and surface tension}, url = {http://dx.doi.org/10.1002/mma.3926}, volume = 39, year = 2016 }
3. V. Sharanya, G. P. Raja Sekhar, and C. Rohde, “Bed of polydisperse viscous spherical drops under thermocapillary effects,” Z. Angew. Math. Phys., vol. 67, no. 4, p. 101, 2016.
  - BibTeX
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  @article{sharanya2016polydisperse, abstract = {Viscous flow past an ensemble of polydisperse spherical drops is investigated under thermocapillary effects. We assume that the collection of spherical drops behaves as a porous media and estimates the hydrodynamic interactions analytically via the so- called cell model that is defined around a specific representative particle. In this method, the hydrodynamic interactions are assumed to be accounted by suitable boundary conditions on a fictitious fluid envelope surrounding the representative particle. The force calculated on this representative particle will then be extended to a bed of spherical drops visualized as a Darcy porous bed. Thus, the ``effective bed permeability'' of such a porous bed will be computed as a function of various parameters and then will be compared with Carman--Kozeny relation. We use cell model approach to a packed bed of spherical drops of uniform size (monodisperse spherical drops) and then extend the work for a packed bed of polydisperse spherical drops, for a specific parameters. Our results show a good agreement with the Carman--Kozeny relation for the case of monodisperse spherical drops. The prediction of overall bed permeability using our present model agrees well with the Carman--Kozeny relation when the packing size distribution is narrow, whereas a small deviation can be noted when the size distribution becomes broader.}, added-at = {2018-07-16T09:54:04.000+0200}, author = {Sharanya, V. and Raja Sekhar, G. P. and Rohde, Christian}, doi = {10.1007/s00033-016-0699-y}, interhash = {3ccd58f2a23b74b8ae88677d73a5f09d}, intrahash = {e0982073d4a817fd7580dbe1c3d1244c}, issn = {1420-9039}, journal = {Z. Angew. Math. Phys.}, keywords = {imported vorlaeufig}, number = 4, owner = {szur}, pages = 101, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Bed of polydisperse viscous spherical drops under thermocapillary effects}, url = {http://dx.doi.org/10.1007/s00033-016-0699-y}, volume = 67, year = 2016 }
4. A. Barth, R. Bürger, I. Kröker, and C. Rohde, “Computational uncertainty quantification for a clarifier-thickener model with several random perturbations: A hybrid stochastic Galerkin approach,” Computers & Chemical Engineering, vol. 89, pp. 11-- 26, 2016.
  - BibTeX
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  @article{barth2016computational, added-at = {2018-07-16T09:54:04.000+0200}, author = {Barth, Andrea and Bürger, Raimund and Kr\"oker, Ilja and Rohde, Christian}, doi = {http://dx.doi.org/10.1016/j.compchemeng.2016.02.016}, interhash = {48efe2b662b4eba7b6cd222ed7ce1e4f}, intrahash = {a45567e5581c788192c8f5763ffb8abe}, issn = {0098-1354}, journal = {Computers \& Chemical Engineering }, keywords = {Clarifier-thickener model vorlaeufig}, owner = {seusdd}, pages = {11 -- 26}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Computational uncertainty quantification for a clarifier-thickener model with several random perturbations: A hybrid stochastic {G}alerkin approach}, url = {http://www.sciencedirect.com/science/article/pii/S0098135416300503}, volume = 89, year = 2016 }
5. I. Dragomirescu, K. Eisenschmidt, C. Rohde, and B. Weigand, “Perturbation solutions for the finite radially symmetric Stefan problem,” Inter. J. Thermal Sci., vol. 104, pp. 386–395, 2016.
  - BibTeX
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  @article{dragomirescu2016perturbation, added-at = {2018-07-16T09:54:04.000+0200}, author = {Dragomirescu, Ioana and Eisenschmidt, Kathrin and Rohde, Christian and Weigand, Bernhard}, doi = {https://doi.org/10.1016/j.ijthermalsci.2016.01.019}, interhash = {665d46886860795c1e28134f4044d792}, intrahash = {157cde32839604c01ec4f0195f0f9eb9}, journal = {Inter. J. Thermal Sci.}, keywords = {imported vorlaeufig}, owner = {joosde}, pages = {386-395}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Perturbation solutions for the finite radially symmetric Stefan problem}, url = {http://www.sciencedirect.com/science/article/pii/S1290072916000326}, volume = 104, year = 2016 }
6. M. Köppel and C. Rohde, “Uncertainty Quantification for Two-Phase Flow in Heterogeneous Porous Media,” PAMM Proc. Appl. Math. Mech., vol. 16, no. 1, pp. 749–750, 2016.
  - BibTeX
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  @article{koppel2016uncertainty, added-at = {2018-07-16T09:54:04.000+0200}, author = {K{\"o}ppel, Markus and Rohde, Christian}, doi = {10.1002/pamm.201610363}, interhash = {7c2ebda29743067a7428ce656bf07789}, intrahash = {d303d866cda33b3d047197fcf0df8a55}, journal = {PAMM Proc. Appl. Math. Mech.}, keywords = {imported vorlaeufig}, number = 1, owner = {seusdd}, pages = {749–750}, publisher = {WILEY-VCH Verlag}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Uncertainty Quantification for Two-Phase Flow in Heterogeneous Porous Media}, url = {http://onlinelibrary.wiley.com/doi/10.1002/pamm.201610363/abstract}, volume = 16, year = 2016 }
7. D. Diehl, J. Kremser, D. Kröner, and C. Rohde, “Numerical Solution of Navier-Stokes-Korteweg Systems by Local Discontinuous Galerkin Methods in Multiple Space Dimensions,” Appl. Math. Comput., vol. 272, Part 2, pp. 309–335, 2016.
  - BibTeX
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  @article{diehl2016numerical, added-at = {2018-07-16T09:54:04.000+0200}, author = {Diehl, D. and Kremser, J. and Kr{\"o}ner, D. and Rohde, C.}, doi = {10.1016/j.amc.2015.09.080}, interhash = {b0a1b557182b53ed114014b9d4878ca4}, intrahash = {8e361fd847ef119499d8b483a272963c}, journal = {Appl. Math. Comput.}, keywords = {imported vorlaeufig}, owner = {seusdd}, pages = {309-335}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Numerical Solution of Navier-Stokes-Korteweg Systems by Local Discontinuous Galerkin Methods in Multiple Space Dimensions}, url = {http://www.sciencedirect.com/science/article/pii/S0096300315013181}, volume = {272, Part 2}, year = 2016 }
8. R. M. Colombo, P. G. LeFloch, and C. Rohde, “Hyperbolic techniques in Modelling, Analysis and Numerics,” Oberwolfach Reports, vol. 13, pp. 1683–1751, 2016.
  - BibTeX
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  @article{colombo2016hyperbolic, added-at = {2018-07-16T09:54:04.000+0200}, author = {Colombo, R. M. and LeFloch, P. G. and Rohde, C.}, doi = {10.4171/OWR/2016/30}, interhash = {d96cd1872d20403c258b42800e69b897}, intrahash = {b0cc4e6e69bc85f0ac8f27747d571560}, journal = {Oberwolfach Reports}, keywords = {imported vorlaeufig}, note = {Abstracts from the workshop held June 19--25, 2016, Organized by Rinaldo M. Colombo, Philippe G. LeFloch and Christian Rohde}, owner = {szur}, pages = {1683-1751}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Hyperbolic techniques in Modelling, Analysis and Numerics}, url = {http://www.ems-ph.org/journals/show_abstract.php?issn=1660-8933&vol=13&iss=2&rank=12}, volume = 13, year = 2016 }
9. F. Betancourt and C. Rohde, “Finite-Volume Schemes for Friedrichs Systems with Involutions,” App. Math. Comput., vol. 272, Part 2, pp. 420–439, 2016.
  - BibTeX
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  @article{betancourt2016finitevolume, added-at = {2018-07-16T09:54:04.000+0200}, author = {Betancourt, F. and Rohde, C.}, doi = {10.1016/j.amc.2015.03.050}, interhash = {ed02ea7105dbf03775561e430c3835f4}, intrahash = {408f1662f5668212972c34ea230f4db1}, journal = {App. Math. Comput.}, keywords = {imported vorlaeufig}, owner = {seusdd}, pages = {420-439}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {{Finite-Volume Schemes for Friedrichs Systems with Involutions}}, url = {http://www.sciencedirect.com/science/article/pii/S0096300315003641}, volume = {272, Part 2}, year = 2016 }
2015
1. C. Rohde and C. Zeiler, “A relaxation Riemann solver for compressible two-phase flow with phase transition and surface tension,” Appl. Numer. Math., vol. 95, pp. 267--279, 2015.
  - BibTeX
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  @article{rohde2015relaxation, abstract = {The dynamics of two-phase flows depend crucially on interfacial effects like surface tension and phase transition. A numerical method for compressible inviscid flows is proposed that accounts in particular for these two effects. The approach relies on the solution of Riemann-like problems across the interface that separates the liquid and the vapour phase. Since the analytical solutions of the Riemann problems are only known in particular cases an approximative Riemann solver for arbitrary settings is constructed. The approximative solutions rely on the relaxation technique. The local well-posedness of the approximative solver is proven. Finally we present numerical experiments for radially symmetric configurations that underline the reliability and efficiency of the numerical scheme.}, added-at = {2018-07-16T09:54:04.000+0200}, author = {Rohde, C. and Zeiler, C.}, doi = {10.1016/j.apnum.2014.05.001}, interhash = {7506966ae4ef90a4ce5f16cf9f25431d}, intrahash = {e3303deff6acb3b615c5107f4204eb5d}, issn = {0168-9274}, journal = {Appl. Numer. Math.}, keywords = {imported vorlaeufig}, mrclass = {65M25 (76N99 76T10)}, mrnumber = {3349699}, owner = {seusdd}, pages = {267--279}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A relaxation {R}iemann solver for compressible two-phase flow with phase transition and surface tension}, url = {http://dx.doi.org/10.1016/j.apnum.2014.05.001}, volume = 95, year = 2015 }
2. F. Kissling and C. Rohde, “The Computation of Nonclassical Shock Waves in Porous Media with a Heterogeneous Multiscale Method: The Multidimensional Case,” Multiscale Model. Simul., vol. 13 no. 4, pp. 1507–1541, 2015.
  - BibTeX
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  @article{kissling2015computation, added-at = {2018-07-16T09:54:04.000+0200}, author = {Kissling, F. and Rohde, C.}, doi = {10.1137/120899236}, interhash = {91351373cc92502b4538c1373e2adaaa}, intrahash = {a94af39a5639824f6316bdc9dfb329b7}, journal = {Multiscale Model. Simul.}, keywords = {imported vorlaeufig}, owner = {seusdd}, pages = {1507-1541}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {The Computation of Nonclassical Shock Waves in Porous Media with a Heterogeneous Multiscale Method: The Multidimensional Case}, url = {http://epubs.siam.org/doi/abs/10.1137/120899236}, volume = {13 no. 4}, year = 2015 }
3. J. Neusser, C. Rohde, and V. Schleper, “Relaxed Navier-Stokes-Korteweg Equations for compressible two-phase flow with phase transition,” J. Numer. Meth. Fluids, vol. 79, no. 12, pp. 615–639, 2015.
  - BibTeX
  - Link
  @article{neusser2015relaxed, abstract = {The Navier–Stokes–Korteweg (NSK) system is a classical diffuse-interface model for compressible two-phase flow. However, the direct numerical simulation based on the NSK system is quite expensive and in some cases even not possible. We propose a lower-order relaxation of the NSK system with hyperbolic first-order part. This allows applying numerical methods for hyperbolic conservation laws and removing some of the difficulties of the original NSK system. To illustrate the new ansatz, we first present a local discontinuous Galerkin method in one and two spatial dimensions. It is shown that we can compute initial boundary value problems with realistic density ratios and perform stable computations for small interfacial widths. Second, we show that it is possible to construct a semi-discrete finite-volume scheme that satisfies a discrete entropy inequality.}, added-at = {2018-07-16T09:54:04.000+0200}, author = {Neusser, J. and Rohde, C. and Schleper, V.}, doi = {10.1002/fld.4065}, interhash = {c777dd43845e0f899512f16018355877}, intrahash = {befcf59c2dd723f2ecfb2b0123e5f3bc}, journal = {J. Numer. Meth. Fluids}, keywords = {imported vorlaeufig}, month = {December}, number = 12, owner = {schleper}, pages = {615-639}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Relaxed Navier-Stokes-Korteweg Equations for compressible two-phase flow with phase transition}, url = {http://onlinelibrary.wiley.com/doi/10.1002/fld.4065/full}, volume = 79, year = 2015 }
4. I. Kröker, W. Nowak, and C. Rohde, “A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems,” Comput. Geosci., vol. 19, no. 2, pp. 269--284, 2015.
  - BibTeX
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  @article{kroker2015stochastically, added-at = {2018-07-16T09:54:04.000+0200}, author = {Kröker, Ilja and Nowak, Wolfgang and Rohde, Christian}, doi = {10.1007/s10596-014-9464-5}, interhash = {f2d6f66112cb2560f6a3bf5cfd94cab0}, intrahash = {c9f2c7ca2959d41e54a87a7d1c1a3171}, issn = {1420-0597}, journal = {Comput. Geosci.}, keywords = {Finite Nonlinear volume Galerkin; stochastic Stochastic vorlaeufig method; Hybrid}, language = {English}, number = 2, owner = {seusdd}, pages = {269--284}, publisher = {Springer International Publishing}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems}, url = {http://dx.doi.org/10.1007/s10596-014-9464-5}, volume = 19, year = 2015 }
2014
1. R. Bürger, I. Kröker, and C. Rohde, “A hybrid stochastic Galerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit,” ZAMM Z. Angew. Math. Mech., vol. 94, no. 10, pp. 793–817, 2014.
  - BibTeX
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  @article{burger2014hybrid, added-at = {2018-07-16T09:54:04.000+0200}, author = {B{\"u}rger, R. and Kr{\"o}ker, I. and Rohde, C.}, doi = {10.1002/zamm.201200174}, interhash = {0a0fcf7ceadd23a953b4176ba5398961}, intrahash = {00d9ef1c51cf7b55d837dc11d1ffa110}, journal = {ZAMM Z. Angew. Math. Mech.}, keywords = {imported vorlaeufig}, number = 10, owner = {seusdd}, pages = {793-817}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A hybrid stochastic {G}alerkin method for uncertainty quantification applied to a conservation law modelling a clarifier-thickener unit}, url = {http://dx.doi.org/10.1002/zamm.201200174}, volume = 94, year = 2014 }
2. J. Fuhrmann, M. Ohlberger, and C. Rohde, Eds., Finite Volumes for Complex Applications VII Elliptic, Parabolic and Hyperbolic Problems, FVCA 7, Berlin, June 2014, vol. Vol. 77/78. 2014.
  - BibTeX
  @proceedings{fuhrmann2014finite, added-at = {2018-07-16T09:54:04.000+0200}, crossref = {http://www.springer.com/mathematics/computational+science+%26+engineering/book/978-3-319-06402-4}, editor = {Fuhrmann, Jürgen and Ohlberger, Mario and Rohde, Christian}, interhash = {348a748bed0fec44634bab6e3dcfe6ca}, intrahash = {32adbcb433631cd561fe909f0acdd3f4}, keywords = {imported vorlaeufig}, note = {FVCA 7, Berlin}, owner = {ingrid}, series = {Springer Proceedings in Mathematics \& Statistics}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Finite Volumes for Complex Applications VII Elliptic, Parabolic and Hyperbolic Problems, FVCA 7, Berlin, June 2014}, volume = {Vol. 77/78}, year = 2014 }
3. W. Ehlers, R. Helmig, and C. Rohde, “Editorial: Deformation and transport phenomena in porous media,” ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, vol. 94, no. 7–8, pp. 559--559, 2014.
  - BibTeX
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  @article{ehlers2014editorial, added-at = {2018-07-16T09:54:04.000+0200}, author = {Ehlers, Wolfgang and Helmig, Rainer and Rohde, Christian}, doi = {10.1002/zamm.201400559}, interhash = {72a8f3850e5769a419f3d406b9aa048a}, intrahash = {b9852d1c0e137759732e67313cb18313}, issn = {1521-4001}, journal = {ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik}, keywords = {imported vorlaeufig}, number = {7-8}, owner = {seusdd}, pages = {559--559}, publisher = {WILEY-VCH Verlag}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Editorial: Deformation and transport phenomena in porous media}, url = {http://dx.doi.org/10.1002/zamm.201400559}, volume = 94, year = 2014 }
4. C. Chalons, P. Engel, and C. Rohde, “A Conservative and Convergent Scheme for Undercompressive Shock Waves,” SIAM J. Numer. Anal., vol. 52, no. 1, pp. 554–579, 2014.
  - BibTeX
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  @article{chalons2014conservative, added-at = {2018-07-16T09:54:04.000+0200}, author = {Chalons, C. and Engel, P. and Rohde, C.}, interhash = {76df948307ed934872a3a94edc86a0fa}, intrahash = {b6f8c2954e592962b127d3a28e71b4fb}, journal = {SIAM J. Numer. Anal.}, keywords = {imported vorlaeufig}, note = {accepted}, number = 1, owner = {ingrid}, pages = {554-579}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A Conservative and Convergent Scheme for Undercompressive Shock Waves}, url = {http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=732}, volume = 52, year = 2014 }
5. P. Engel, A. Viorel, and C. Rohde, “A Low-Order Approximation for Viscous-Capillary Phase Transition Dynamics,” Port. Math., vol. 70, no. 4, pp. 319–344, 2014.
  - BibTeX
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  @article{engel2014loworder, added-at = {2018-07-16T09:54:04.000+0200}, author = {Engel, P. and Viorel, A. and Rohde, C.}, interhash = {7a79d67a24cc828df996b77d51429ad4}, intrahash = {9d8d2a5ac921d9b54adfe328c2fe4381}, journal = {Port. Math.}, keywords = {imported vorlaeufig}, number = 4, pages = {319-344}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A Low-Order Approximation for Viscous-Capillary Phase Transition Dynamics}, url = {http://www.simtech.uni-stuttgart.de/publikationen/prints.php?ID=723}, volume = 70, year = 2014 }
6. I. Rybak, “Coupling free flow and porous medium flow systems using sharp interface and transition region concepts,” in Finite Volumes for Complex Applications VII - Elliptic, Parabolic and Hyperbolic Problems, FVCA 7, 2014, vol. 78, pp. 703--711.
  - BibTeX
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  @inproceedings{rybak2014coupling, added-at = {2018-07-16T09:54:04.000+0200}, author = {Rybak, I.}, booktitle = {Finite Volumes for Complex Applications VII - Elliptic, Parabolic and Hyperbolic Problems, FVCA 7}, doi = {10.1007/978-3-319-05591-6_70}, editor = {Fuhrmann, J. and Ohlberger, M. and Rohde, C.}, interhash = {8d4e3cd3871537318e5ef886db26ee44}, intrahash = {468c53da8e6545beae87303ad07ccf5f}, keywords = {imported vorlaeufig}, month = {June}, owner = {rybak}, pages = {703--711}, publisher = {Springer}, series = {Springer Proceedings in Mathematics \& Statistics}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Coupling free flow and porous medium flow systems using sharp interface and transition region concepts}, url = {http://link.springer.com/chapter/10.1007/978-3-319-05591-6_70}, volume = 78, year = 2014 }
7. J. Giesselmann and T. Müller, “Estimating the Geometric Error of Finite Volume Schemes for Conservation Laws on Surfaces for generic numerical flux functions,” in Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, 2014, vol. 77.
  - BibTeX
  @inproceedings{giesselmann2014estimating, added-at = {2018-07-16T09:54:04.000+0200}, author = {Giesselmann, Jan and Müller, Thomas}, booktitle = {Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects}, editor = {J. Fuhrmann, M. Ohlberger and Rohde, C.}, interhash = {9b4416ca2ffcddac26e8ecd0dcea04eb}, intrahash = {9f7824b3ce0f30aecc1157b06aee7577}, keywords = {imported vorlaeufig}, owner = {jgiessel}, series = {Springer Proceedings in Mathematics \& Statistics}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Estimating the Geometric Error of Finite Volume Schemes for Conservation Laws on Surfaces for generic numerical flux functions}, volume = 77, year = 2014 }
8. M. Köppel, I. Kröker, and C. Rohde, “Stochastic Modeling for Heterogeneous Two-Phase Flow,” in Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, vol. 77, J. Fuhrmann, M. Ohlberger, and C. Rohde, Eds. Springer International Publishing, 2014, pp. 353–361.
  - BibTeX
  - Link
  @incollection{koppel2014stochastic, added-at = {2018-07-16T09:54:04.000+0200}, author = {K{\"o}ppel, M. and Kr{\"o}ker, I. and Rohde, C.}, booktitle = {Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects}, doi = {10.1007/978-3-319-05684-5_34}, editor = {Fuhrmann, J{\"u}rgen and Ohlberger, Mario and Rohde, Christian}, interhash = {9edc4b7e189ef751cf0e8c97b22240ef}, intrahash = {3886d742461971b380dfbfdfbab7f0bc}, isbn = {978-3-319-05683-8}, keywords = {volume in method finite media; stochastic porous Flow vorlaeufig Hybrid Galerkin}, language = {English}, owner = {seusdd}, pages = {353-361}, publisher = {Springer International Publishing}, series = {Springer Proceedings in Mathematics \& Statistics}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Stochastic Modeling for Heterogeneous Two-Phase Flow}, url = {http://dx.doi.org/10.1007/978-3-319-05684-5_34}, volume = 77, year = 2014 }
9. S. Fechter, C. Zeiler, C.-D. Munz, and C. Rohde, “Simulation of compressible multi-phase flows at extreme ambient conditions using a Discontinuous-Galerkin Method,” in ILASS–Europe, 26th European Conference on Liquid Atomization and Spray Systems, 2014.
  - BibTeX
  @inproceedings{fechter2014simulation, added-at = {2018-07-16T09:54:04.000+0200}, author = {Fechter, Stefan and Zeiler, Christoph and Munz, Claus-Dieter and Rohde, Christian}, booktitle = {ILASS–Europe, 26th European Conference on Liquid Atomization and Spray Systems}, interhash = {b4b0c31d5437559d9652effbccd0d8d5}, intrahash = {c45678218e409cd2faffdc54e0697f9b}, keywords = {imported vorlaeufig}, owner = {seusdd}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Simulation of compressible multi-phase flows at extreme ambient conditions using a Discontinuous-Galerkin Method}, year = 2014 }
10. B. Kabil and C. Rohde, “The influence of surface tension and configurational forces on the stability of liquid-vapor interfaces,” Nonlinear Analysis: Theory, Methods & Applications, vol. 107, no. 0, pp. 63–75, 2014.
  - BibTeX
  - Link
  @article{kabil2014influence, abstract = {Abstract The stability of liquid–vapor interfaces in a multidimensional van der Waals fluid is analyzed. We consider interfaces which connect liquid and vapor states as subsonic shock waves. Surface tension and configurational forces in the form of a kinetic relation determine the evolution of the interface. Stability results for the interface in the sense of energy estimates for solutions of the linearized problem are given. The normal mode analysis of the problem shows that in particular the uniform Kreiss–Lopatinskiĭ condition is satisfied as long as surface tension and amount of energy dissipation are positive but remain small. The analysis relies on Benzoni-Gavage and Freistühler (2004), where surface tension is arbitrary but energy dissipation is zero. Non-stability results for the same system without surface tension and without energy dissipation can be found in Benzoni-Gavage (1999).}, added-at = {2018-07-16T09:54:04.000+0200}, author = {Kabil, Buğra and Rohde, Christian}, interhash = {d56de44e2dff0c3be1581bc08173109a}, intrahash = {8ead974bab1225b57524ac3a3aed3234}, journal = {Nonlinear Analysis: Theory, Methods \& Applications}, keywords = {symmetrizer, Kreiss–Lopatinskiĭ Liquid–vapor condition, stability, estimate interface, Energy Kreiss vorlaeufig Uniform}, number = 0, owner = {kabil}, pages = {63 - 75}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {The influence of surface tension and configurational forces on the stability of liquid-vapor interfaces}, type = {Article}, url = {http://dx.doi.org/10.1016/j.na.2014.04.003}, volume = 107, year = 2014 }
11. A. Armiti-Juber and C. Rohde, “Almost Parallel Flows in Porous Media,” in Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems, vol. 78, J. Fuhrmann, M. Ohlberger, and C. Rohde, Eds. Springer International Publishing, 2014, pp. 873–881.
  - BibTeX
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  @incollection{armitijuber2014almost, added-at = {2018-07-16T09:54:04.000+0200}, author = {Armiti-Juber, A. and Rohde, C.}, booktitle = {Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems}, doi = {10.1007/978-3-319-05591-6_88}, editor = {Fuhrmann, Jürgen and Ohlberger, Mario and Rohde, Christian}, interhash = {dca373b0c16665b5f87939097dcbae39}, intrahash = {947399992b49803978575ea9277e6b60}, keywords = {imported vorlaeufig}, owner = {seusdd}, pages = {873-881}, publisher = {Springer International Publishing}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Almost Parallel Flows in Porous Media}, url = {http://dx.doi.org/10.1007/978-3-319-05591-6_88}, volume = 78, year = 2014 }
12. J. Giesselmann and T. Pryer, “On aposteriori error analysis of DG schemes approximating hyperbolic conservation laws,” in Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, 2014, vol. 77.
  - BibTeX
  @inproceedings{giesselmann2014aposteriori, added-at = {2018-07-16T09:54:04.000+0200}, author = {Giesselmann, Jan and Pryer, Tristan}, booktitle = {Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects}, editor = {J. Fuhrmann, M. Ohlberger and Rohde, C.}, interhash = {e67515015062f79bd932ee0d1f64cd43}, intrahash = {05b65c9cf6005dcabf81e05c6f35d4ba}, keywords = {imported vorlaeufig}, owner = {jgiessel}, series = {Springer Proceedings in Mathematics \& Statistics}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {On aposteriori error analysis of DG schemes approximating hyperbolic conservation laws}, volume = 77, year = 2014 }
13. A. Corli, C. Rohde, and V. Schleper, “Parabolic approximations of diffusive-dispersive equations.,” J. Math. Anal. Appl., vol. 414, pp. 773–798, 2014.
  - BibTeX
  - Link
  @article{corli2014parabolic, added-at = {2018-07-16T09:54:04.000+0200}, author = {Corli, A. and Rohde, C. and Schleper, V.}, interhash = {fbd53f5af8ed62e3ad3505b486984768}, intrahash = {fba4649fc6894a92d87da242daa449c3}, journal = {J. Math. Anal. Appl.}, keywords = {imported vorlaeufig}, owner = {schleper}, pages = {773-798}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Parabolic approximations of diffusive-dispersive equations.}, url = {http://dx.doi.org/10.1016/j.jmaa.2014.01.049}, volume = 414, year = 2014 }
2013
1. C. Eck, M. Kutter, A.-M. Sändig, and C. Rohde, “A two scale model for liquid phase epitaxy with elasticity: An iterative procedure,” ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, vol. 93, no. 10–11, pp. 745--761, 2013.
  - BibTeX
  - Link
  @article{eck2013scale, added-at = {2018-07-16T09:54:04.000+0200}, author = {Eck, Ch. and Kutter, M. and S{\"a}ndig, A.-M. and Rohde, Ch.}, doi = {10.1002/zamm.201200238}, interhash = {2a37ff7e95fc89371fddc9757d4fdc93}, intrahash = {0eb06271879112d05c8e544c5f0e0e7b}, issn = {1521-4001}, journal = {ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}, keywords = {phase iterative model, scale two existence regularity procedure, with Liquid of and epitaxy solutions. vorlaeufig elasticity,}, number = {10-11}, pages = {745--761}, publisher = {WILEY-VCH Verlag}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A two scale model for liquid phase epitaxy with elasticity: An iterative procedure}, url = {http://dx.doi.org/10.1002/zamm.201200238}, volume = 93, year = 2013 }
2. K. Eisenschmidt, P. Rauschenberger, C. Rohde, and B. Weigand, “Modelling of freezing processes in super-cooled droplets on sub-grid scale,” in ILASS–Europe, 25th European Conference on Liquid Atomization and Spray Systems, 2013.
  - BibTeX
  @inproceedings{eisenschmidt2013modelling, added-at = {2018-07-16T09:54:04.000+0200}, author = {Eisenschmidt, K. and Rauschenberger, P. and Rohde, C. and Weigand, B.}, booktitle = {ILASS–Europe, 25th European Conference on Liquid Atomization and Spray Systems}, interhash = {2c6ca5a7c79195fcdeda831e704507f4}, intrahash = {ed48e6cf769430b1314daad4197907b4}, keywords = {imported vorlaeufig}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Modelling of freezing processes in super-cooled droplets on sub-grid scale}, year = 2013 }
3. C. Rohde, W. Wang, and F. Xie, “Hyperbolic-hyperbolic relaxation limit for a 1D compressible radiation hydrodynamics model: superposition of rarefaction and contact waves,” Communications on Pure and Applied Analysis, vol. 12, no. 5, pp. 2145--2171, 2013.
  - BibTeX
  - Link
  @article{rohde2013hyperbolichyperbolic, added-at = {2018-07-16T09:54:04.000+0200}, author = {Rohde, Christian and Wang, Wenjun and Xie, Feng}, doi = {10.3934/cpaa.2013.12.2145}, interhash = {a0010733349983c24fa5cb9c0d8fe051}, intrahash = {4afef419108cf41ee4dc9c43d66019cf}, journal = {Communications on Pure and Applied Analysis}, keywords = {imported vorlaeufig}, number = 5, pages = {2145--2171}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Hyperbolic-hyperbolic relaxation limit for a 1D compressible radiation hydrodynamics model: superposition of rarefaction and contact waves}, url = {http://dx.doi.org/10.3934/cpaa.2013.12.2145}, volume = 12, year = 2013 }
2012
1. A. Corli and C. Rohde, “Singular limits for a parabolic-elliptic regularization of scalar conservation laws,” J. Differential Equations, vol. 253, no. 5, pp. 1399--1421, 2012.
  - BibTeX
  - Link
  @article{corli2012singular, added-at = {2018-07-16T09:54:04.000+0200}, author = {Corli, Andrea and Rohde, Christian}, coden = {JDEQAK}, doi = {10.1016/j.jde.2012.05.006}, fjournal = {Journal of Differential Equations}, interhash = {00b74f5aad78e8f3ecca538055621c57}, intrahash = {6fd191cf67ebde7fe1812d2d56396232}, issn = {0022-0396}, journal = {J. Differential Equations}, keywords = {imported vorlaeufig}, mrclass = {35L65 (35C07 35L67)}, mrnumber = {2927386}, number = 5, owner = {szur}, pages = {1399--1421}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Singular limits for a parabolic-elliptic regularization of scalar conservation laws}, url = {http://dx.doi.org/10.1016/j.jde.2012.05.006}, volume = 253, year = 2012 }
2. W. Dreyer, J. Giesselmann, C. Kraus, and C. Rohde, “Asymptotic Analysis for Korteweg Models,” Interfaces Free Bound., vol. 14, pp. 105–143, 2012.
  - BibTeX
  - Link
  @article{dreyer2012asymptotic, added-at = {2018-07-16T09:54:04.000+0200}, author = {Dreyer, Wolfgang and Giesselmann, Jan and Kraus, Christiane and Rohde, Christian}, interhash = {29b6f9259ab19db80ef7664f82461795}, intrahash = {6f2530b54caec310cfda429fbf895c62}, journal = {Interfaces Free Bound.}, keywords = {imported vorlaeufig}, owner = {Jan}, pages = {105 - 143}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Asymptotic Analysis for Korteweg Models}, url = {http://www.ems-ph.org/journals/show_pdf.php?issn=1463-9963&vol=14&iss=1&rank=4}, volume = 14, year = 2012 }
3. F. Jaegle, C. Rohde, and C. Zeiler, “A multiscale method for compressible liquid-vapor flow with surface tension,” ESAIM: Proc., vol. 38, pp. 387–408, 2012.
  - BibTeX
  - Link
  @article{jaegle2012multiscale, abstract = {Discontinuous Galerkin methods have become a powerful tool for approximation the solution of compressible ﬂow problems. Their direct use for two-phase ﬂow problems with phase transformation is not straightforward because this type of ﬂows requires a detailed tracking of the phase front. We consider the fronts in this contribution as sharp interfaces and propose a novel multiscale approach. It combines an eﬃcient high-order Discontinuous Galerkin solver for the computation in the bulk phases on the macro-scale with the use of a generalized Riemann solver on the micro-scale. The Riemann solver takes into account the eﬀects of moderate surface tension via the curvature of the sharp interface as well as phase transformation. First numerical experiments in three space dimensions underline the overall performance of the method.}, added-at = {2018-07-16T09:54:04.000+0200}, author = {Jaegle, Felix and Rohde, Christian and Zeiler, Christoph}, doi = {10.1051/proc/201238022}, interhash = {588d30867d6dc023d6c57c753594d843}, intrahash = {3beb72856cf1b2dd9236433f21056794}, journal = {ESAIM: Proc.}, keywords = {imported vorlaeufig}, owner = {seusdd}, pages = {387-408}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A multiscale method for compressible liquid-vapor flow with surface tension}, url = {http://dx.doi.org/10.1051/proc/201238022}, volume = 38, year = 2012 }
4. T. Richter et al., “ViPLab: a virtual programming laboratory for mathematics and engineering,” Interactive Technology and Smart Education, vol. 9, pp. 246–262, 2012.
  - BibTeX
  - Link
  @article{richter2012viplab, added-at = {2018-07-16T09:54:04.000+0200}, author = {Richter, Thomas and Rudlof, Stephan and Adjibadji, B. and Bernlöhr, Heiko and Grüninger, Christoph and Munz, Claus-Dieter and Stock, Andreas and Rohde, Christian and Helmig, Rainer}, doi = {10.1108/17415651211284039}, interhash = {71de68a1407f697e1acb8164e75103b2}, intrahash = {e23e64f4c4d9185033c54a7a2db0b3c2}, journal = {Interactive Technology and Smart Education}, keywords = {imported vorlaeufig}, pages = {246 - 262}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {ViPLab: a virtual programming laboratory for mathematics and engineering}, url = {http://dx.doi.org/10.0.4.84/17415651211284039}, volume = 9, year = 2012 }
5. F. Kissling and C. Rohde, “Numerical Simulation of Nonclassical Shock Waves in Porous Media with a Heterogeneous Multiscale Method,” in Hyperbolic Problems: Theory, Numerics and Applications, 2012, pp. 469--478.
  - BibTeX
  @conference{kissling2012numerical, added-at = {2018-07-16T09:54:04.000+0200}, author = {Kissling, F. and Rohde, C.}, booktitle = {Hyperbolic Problems: Theory, Numerics and Applications}, editor = {Li, T. and Jiang, S.}, interhash = {98271f9a45b96ed53404be9c2dbaa62c}, intrahash = {a310aaff7709ea865484528d9498d417}, keywords = {imported vorlaeufig}, owner = {kissling}, pages = {469--478}, series = {Series in Contemporary Applied Mathematics}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Numerical {S}imulation of {N}onclassical {S}hock {W}aves in {P}orous {M}edia with a {H}eterogeneous {M}ultiscale {M}ethod}, year = 2012 }
6. I. Kröker and C. Rohde, “Finite volume schemes for hyperbolic balance laws with multiplicative noise,” Appl. Numer. Math., vol. 62, no. 4, pp. 441--456, 2012.
  - BibTeX
  - Link
  @article{kroker2012finite, added-at = {2018-07-16T09:54:04.000+0200}, author = {Kr{\"o}ker, I. and Rohde, C.}, coden = {ANMAEL}, doi = {10.1016/j.apnum.2011.01.011}, fjournal = {Applied Numerical Mathematics. An IMACS Journal}, interhash = {a765600f3a885e3bf44f820d736c49ff}, intrahash = {84c86a2b53766837082ad66ebcb9bb05}, issn = {0168-9274}, journal = {Appl. Numer. Math.}, keywords = {imported vorlaeufig}, mrclass = {65M08}, mrnumber = {2899255}, number = 4, owner = {szur}, pages = {441--456}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Finite volume schemes for hyperbolic balance laws with multiplicative noise}, url = {http://dx.doi.org/10.1016/j.apnum.2011.01.011}, volume = 62, year = 2012 }
7. C. Rohde and F. Xie, “Global existence and blowup phenomenon for a 1D radiation hydrodynamics model problem,” Math. Methods Appl. Sci., vol. 35, no. 5, pp. 564--573, 2012.
  - BibTeX
  - Link
  @article{rohde2012global, added-at = {2018-07-16T09:54:04.000+0200}, author = {Rohde, Christian and Xie, Feng}, doi = {10.1002/mma.1593}, fjournal = {Mathematical Methods in the Applied Sciences}, interhash = {be8da614b89d08836c92f0a89f3a07ca}, intrahash = {c60eddf3f2eecb7dcdd143ed42f07c17}, issn = {0170-4214}, journal = {Math. Methods Appl. Sci.}, keywords = {imported vorlaeufig}, mrclass = {35Q35 (35A09 35B44 76X05)}, mrnumber = {2908767}, number = 5, owner = {szur}, pages = {564--573}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Global existence and blowup phenomenon for a 1{D} radiation hydrodynamics model problem}, url = {http://dx.doi.org/10.1002/mma.1593}, volume = 35, year = 2012 }
8. C. Chalons, F. Coquel, P. Engel, and C. Rohde, “Fast Relaxation Solvers for Hyperbolic-Elliptic Phase Transition Problems,” SIAM Journal on Scientific Computing, vol. 34, no. 3, pp. A1753--A1776, 2012.
  - BibTeX
  - Link
  @article{chalons2012relaxation, added-at = {2018-07-16T09:54:04.000+0200}, author = {Chalons, C. and Coquel, F. and Engel, P. and Rohde, C.}, doi = {10.1137/110848815}, eprint = {http://epubs.siam.org/doi/pdf/10.1137/110848815}, interhash = {cc83bbda7b07c41fc62882cbfa469b7f}, intrahash = {49bfbbb63498d8d1e0c4c75dc3f9a70c}, journal = {SIAM Journal on Scientific Computing}, keywords = {imported vorlaeufig}, number = 3, pages = {A1753--A1776}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Fast Relaxation Solvers for Hyperbolic-Elliptic Phase Transition Problems}, url = {http://epubs.siam.org/doi/abs/10.1137/110848815}, volume = 34, year = 2012 }
9. F. Coquel, M. Gutnic, P. Helluy, F. Lagoutière, C. Rohde, and N. Seguin, Eds., CEMRACS 2011, Multiscale Coupling of Complex Models, vol. 38. ESAIM Proceedings, 2012.
  - BibTeX
  @proceedings{coquel2012cemracs, added-at = {2018-07-16T09:54:04.000+0200}, editor = {Coquel, F. and Gutnic, M. and Helluy, P. and Lagouti\`{e}re, F. and Rohde, C. and Seguin, N.}, interhash = {efa1f1019e5fa17635a85e97e315ff86}, intrahash = {64afe98699f24d9f4407e1c938a0e4cc}, keywords = {imported vorlaeufig}, owner = {ingrid}, publisher = {ESAIM Proceedings}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {CEMRACS 2011, Multiscale Coupling of Complex Models}, volume = 38, year = 2012 }
10. F. Kissling, R. Helmig, and C. Rohde, “Simulation of Infiltration Processes in the Unsaturated Zone Using a Multi-Scale Approach,” Vadose Zone J., vol. 11, no. 3, p. , 2012.
  - BibTeX
  - Link
  @article{kissling2012simulation, added-at = {2018-07-16T09:54:04.000+0200}, author = {Kissling, F. and Helmig, R. and Rohde, C.}, doi = {10.2136/vzj2011.0193}, interhash = {f110c6b1a27c3815ffb72c6cf74270da}, intrahash = {94e4152c2abf00d1fa288a1ae7d312f4}, journal = {Vadose Zone J.}, keywords = {imported vorlaeufig}, number = 3, owner = {kissling}, pages = {-}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {{S}imulation of {I}nfiltration {P}rocesses in the {U}nsaturated {Z}one {U}sing a {M}ulti-{S}cale {A}pproach}, url = {http://dx.doi.org/10.2136/vzj2011.0193}, volume = 11, year = 2012 }
2011
1. R. Bürger, I. Kröker, and C. Rohde, “Uncertainty quantification for a clarifier-thickener model with random feed,” in Finite volumes for complex applications. VI. Problems & perspectives. Volume 1, 2, vol. 4, Springer, 2011, pp. 195--203.
  - BibTeX
  - Link
  @incollection{burger2011uncertainty, added-at = {2018-07-16T09:54:04.000+0200}, author = {Bürger, Raimund and Kröker, Ilja and Rohde, Christian}, booktitle = {Finite volumes for complex applications. VI. Problems \& perspectives. Volume 1, 2}, doi = {10.1007/978-3-642-20671-9_21}, interhash = {07be9a926aecf2325b10d0878e14ec94}, intrahash = {39ba57bce6c74dbc57af20cf7c078f21}, keywords = {imported vorlaeufig}, owner = {seusdd}, pages = {195--203}, publisher = {Springer}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Uncertainty quantification for a clarifier-thickener model with random feed}, url = {http://dx.doi.org/10.1007/978-3-642-20671-9_21}, volume = 4, year = 2011 }
2010
1. F. Kissling and C. Rohde, “The Computation of Nonclassical Shock Waves with a Heterogeneous Multiscale Method,” Netw. Heterog. Media, vol. 5, no. 3, pp. 661--674, 2010.
  - BibTeX
  - Link
  @article{kissling2010computation, added-at = {2018-07-16T09:54:04.000+0200}, author = {Kissling, Frederike and Rohde, Christian}, doi = {10.3934/nhm.2010.5.661}, fjournal = {Networks and Heterogeneous Media}, interhash = {90c6d8ff2c836a7cd95b58256a802cb1}, intrahash = {8e86815985ff16f2dcd158873d660ac8}, issn = {1556-1801}, journal = {Netw. Heterog. Media}, keywords = {imported vorlaeufig}, mrclass = {65M50 (35L65 65M99 76L05 76N15 76S05)}, mrnumber = {2670661 (2011j:65204)}, mrreviewer = {Long An Ying}, number = 3, pages = {661--674}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {The {C}omputation of {N}onclassical {S}hock {W}aves with a {H}eterogeneous {M}ultiscale {M}ethod}, url = {http://dx.doi.org/10.3934/nhm.2010.5.661}, volume = 5, year = 2010 }
2. C. Rohde, “A local and low-order Navier-Stokes-Korteweg system,” in Nonlinear partial differential equations and hyperbolic wave phenomena, vol. 526, Providence, RI: Amer. Math. Soc., 2010, pp. 315--337.
  - BibTeX
  - Link
  @incollection{rohde2010local, added-at = {2018-07-16T09:54:04.000+0200}, address = {Providence, RI}, author = {Rohde, Christian}, booktitle = {Nonlinear partial differential equations and hyperbolic wave phenomena}, doi = {10.1090/conm/526/10387}, interhash = {d886941cab2b91c275c594091ffb8070}, intrahash = {18a88e69e6258f5f7e7e7c4a20f0cba8}, keywords = {imported vorlaeufig}, mrclass = {35Q30 (35Q53 76N10)}, mrnumber = {2731998 (2012c:35331)}, mrreviewer = {Rapha{\"e}l Danchin}, owner = {szur}, pages = {315--337}, publisher = {Amer. Math. Soc.}, series = {Contemp. Math.}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A local and low-order {N}avier-{S}tokes-{K}orteweg system}, url = {http://dx.doi.org/10.1090/conm/526/10387}, volume = 526, year = 2010 }
2009
1. F. Kissling, P. G. LeFloch, and C. Rohde, “A Kinetic Decomposition for Singular Limits of non-local Conservation Laws,” J. Differential Equations, vol. 247, no. 12, pp. 3338--3356, 2009.
  - BibTeX
  - Link
  @article{kissling2009kinetic, added-at = {2018-07-16T09:54:04.000+0200}, author = {Kissling, Frederike and LeFloch, Philippe G. and Rohde, Christian}, coden = {JDEQAK}, doi = {10.1016/j.jde.2009.05.006}, fjournal = {Journal of Differential Equations}, interhash = {3906a027f451e1b6543ebef32eee9027}, intrahash = {e70872607cd5119d962d613631187f8f}, issn = {0022-0396}, journal = {J. Differential Equations}, keywords = {imported vorlaeufig}, mrclass = {35L65}, mrnumber = {2571580 (2011a:35334)}, mrreviewer = {Konstantina Trivisa}, number = 12, owner = {szur}, pages = {3338--3356}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {{A} {K}inetic {D}ecomposition for {S}ingular {L}imits of non-local {C}onservation {L}aws}, url = {http://dx.doi.org/10.1016/j.jde.2009.05.006}, volume = 247, year = 2009 }
2008
1. C. Rohde, N. Tiemann, and W.-A. Yong, “Weak and classical solutions for a model problem in radiation hydrodynamics,” in Hyperbolic problems: theory, numerics, applications, Berlin: Springer, 2008, pp. 891--899.
  - BibTeX
  - Link
  @incollection{rohde2008classical, added-at = {2018-07-16T09:54:04.000+0200}, address = {Berlin}, author = {Rohde, C. and Tiemann, N. and Yong, W.-A.}, booktitle = {Hyperbolic problems: theory, numerics, applications}, doi = {10.1007/978-3-540-75712-2_93}, interhash = {19739b5350ea038b1073a3208a546a88}, intrahash = {22b8f0a1d06f65b0ad533cf4176033d0}, keywords = {imported vorlaeufig}, mrclass = {76W05 (35A01 35D30 35Q35)}, mrnumber = {2549228}, owner = {szur}, pages = {891--899}, publisher = {Springer}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Weak and classical solutions for a model problem in radiation hydrodynamics}, url = {http://dx.doi.org/10.1007/978-3-540-75712-2_93}, year = 2008 }
2. C. Rohde and W.-A. Yong, “Dissipative entropy and global smooth solutions in radiation hydrodynamics and magnetohydrodynamics,” Math. Models Methods Appl. Sci., vol. 18, no. 12, pp. 2151--2174, 2008.
  - BibTeX
  - Link
  @article{rohde2008dissipative, added-at = {2018-07-16T09:54:04.000+0200}, author = {Rohde, Christian and Yong, Wen-An}, doi = {10.1142/S0218202508003327}, fjournal = {Mathematical Models \& Methods in Applied Sciences}, interhash = {2ec46cb2c0b28d99213f006d40f0849d}, intrahash = {a083d7eb2b932ad12025acf4eaf22ac4}, issn = {0218-2025}, journal = {Math. Models Methods Appl. Sci.}, keywords = {imported vorlaeufig}, mrclass = {76W05 (35Q35)}, mrnumber = {2477720 (2010a:76094)}, mrreviewer = {Omar Maj}, number = 12, owner = {szur}, pages = {2151--2174}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Dissipative entropy and global smooth solutions in radiation hydrodynamics and magnetohydrodynamics}, url = {http://dx.doi.org/10.1142/S0218202508003327}, volume = 18, year = 2008 }
3. A. Dressel and C. Rohde, “A finite-volume approach to liquid-vapour fluids with phase transition,” in Finite volumes for complex applications V, ISTE, London, 2008, pp. 53--68.
  - BibTeX
  @incollection{dressel2008finitevolume, added-at = {2018-07-16T09:54:04.000+0200}, author = {Dressel, Alexander and Rohde, Christian}, booktitle = {Finite volumes for complex applications {V}}, interhash = {883f963e740a35d62f3723529b66c914}, intrahash = {82671ab7fdd26dddf737122f3a00b25f}, keywords = {imported vorlaeufig}, mrclass = {76M12 (65M06 76T10 80A22)}, mrnumber = {2441446 (2009j:76163)}, mrreviewer = {Jakub Siemek}, owner = {szur}, pages = {53--68}, publisher = {ISTE, London}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A finite-volume approach to liquid-vapour fluids with phase transition}, year = 2008 }
4. J. Haink and C. Rohde, “Local discontinuous-Galerkin schemes for model problems in phase transition theory,” Commun. Comput. Phys., vol. 4, pp. 860–893, 2008.
  - BibTeX
  - Link
  @article{haink2008local, added-at = {2018-07-16T09:54:04.000+0200}, author = {Haink, J. and Rohde, C.}, interhash = {8d2da868462d3d3d9b02170cb63d8d6e}, intrahash = {f807301abfa6f5cdabf6a3c1e8791b93}, journal = {Commun. Comput. Phys.}, keywords = {imported vorlaeufig}, owner = {joosde}, pages = {860-893}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Local discontinuous-{G}alerkin schemes for model problems in phase transition theory}, url = {https://www.researchgate.net/profile/Christian_Rohde2/publication/228406932_Local_discontinuous-Galerkin_schemes_for_model_problems_in_phase_transition_theory/links/00b4952cb030e0da90000000.pdf}, volume = 4, year = 2008 }
5. A. Dressel and C. Rohde, “Global existence and uniqueness of solutions for a viscoelastic two-phase model,” Indiana Univ. Math. J., vol. 57, no. 2, pp. 717--755, 2008.
  - BibTeX
  - Link
  @article{dressel2008global, added-at = {2018-07-16T09:54:04.000+0200}, author = {Dressel, Alexander and Rohde, Christian}, coden = {IUMJAB}, doi = {10.1512/iumj.2008.57.3271}, fjournal = {Indiana University Mathematics Journal}, interhash = {ba61f98aad14d303b9967ef67a6fe4f3}, intrahash = {34bb3d32ececb65d54c15f525300bfa8}, issn = {0022-2518}, journal = {Indiana Univ. Math. J.}, keywords = {imported vorlaeufig}, mrclass = {35Q72 (35B30 35D05 74A30 74D10 74H20)}, mrnumber = {2414333 (2009e:35278)}, mrreviewer = {Marcelo M. Cavalcanti}, number = 2, owner = {szur}, pages = {717--755}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Global existence and uniqueness of solutions for a viscoelastic two-phase model}, url = {http://dx.doi.org/10.1512/iumj.2008.57.3271}, volume = 57, year = 2008 }
2007
1. C. Rohde and W.-A. Yong, “The nonrelativistic limit in radiation hydrodynamics. I. Weak entropy solutions for a model problem,” J. Differential Equations, vol. 234, no. 1, pp. 91--109, 2007.
  - BibTeX
  - Link
  @article{rohde2007nonrelativistic, added-at = {2018-07-16T09:54:04.000+0200}, author = {Rohde, Christian and Yong, Wen-An}, coden = {JDEQAK}, doi = {10.1016/j.jde.2006.11.010}, fjournal = {Journal of Differential Equations}, interhash = {5a5bd6bb201bb31ea5079d70f2482ea3}, intrahash = {aca9eff8fa3f5823b91165b48324d740}, issn = {0022-0396}, journal = {J. Differential Equations}, keywords = {imported vorlaeufig}, mrclass = {35Q35}, mrnumber = {2298966 (2008c:35256)}, mrreviewer = {Philippe G. LeFloch}, number = 1, owner = {szur}, pages = {91--109}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {The nonrelativistic limit in radiation hydrodynamics. {I}. {W}eak entropy solutions for a model problem}, url = {http://dx.doi.org/10.1016/j.jde.2006.11.010}, volume = 234, year = 2007 }
2. C. Merkle and C. Rohde, “The sharp-interface approach for fluids with phase change: Riemann problems and ghost fluid techniques,” M2AN Math. Model. Numer. Anal., vol. 41, no. 6, pp. 1089--1123, 2007.
  - BibTeX
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  @article{merkle2007sharpinterface, added-at = {2018-07-16T09:54:04.000+0200}, author = {Merkle, Christian and Rohde, Christian}, doi = {10.1051/m2an:2007048}, fjournal = {M2AN. Mathematical Modelling and Numerical Analysis}, interhash = {bef1af71947486204c0efff017ad50f5}, intrahash = {695f8f0ddf33f6b334a64aa9dddbbcf2}, issn = {0764-583X}, journal = {M2AN Math. Model. Numer. Anal.}, keywords = {imported vorlaeufig}, mrclass = {76T10 (35L65 35Q35 76M25 80A22)}, mrnumber = {2377108 (2008j:76068)}, mrreviewer = {Denis Serre}, number = 6, owner = {szur}, pages = {1089--1123}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {The sharp-interface approach for fluids with phase change: {R}iemann problems and ghost fluid techniques}, url = {http://dx.doi.org/10.1051/m2an:2007048}, volume = 41, year = 2007 }
2006
1. J. Haink and C. Rohde, “Phase transition in compressible media and nonlocal capillarity terms,” in Hyperbolic problems: theory, numerics and applications. I, Yokohama Publ., Yokohama, 2006, pp. 147--154.
  - BibTeX
  @incollection{haink2006phase, added-at = {2018-07-16T09:54:04.000+0200}, author = {Haink, Jenny and Rohde, Christian}, booktitle = {Hyperbolic problems: theory, numerics and applications. {I}}, interhash = {0b71374fa2b370d6e90d8544871e0f21}, intrahash = {3ecacb3ee893cfd290ff42434412abef}, keywords = {imported vorlaeufig}, mrclass = {35Q35 (35C07 76D45)}, mrnumber = {2667232}, owner = {szur}, pages = {147--154}, publisher = {Yokohama Publ., Yokohama}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Phase transition in compressible media and nonlocal capillarity terms}, year = 2006 }
2. D. Diehl and C. Rohde, “On the structure of MHD shock waves in diffusive-dispersive media,” J. Math. Fluid Mech., vol. 8, no. 1, pp. 120--145, 2006.
  - BibTeX
  - Link
  @article{diehl2006structure, added-at = {2018-07-16T09:54:04.000+0200}, author = {Diehl, Dennis and Rohde, Christian}, doi = {10.1007/s00021-004-0149-z}, fjournal = {Journal of Mathematical Fluid Mechanics}, interhash = {2e40b058e580870207f741a6c61972bc}, intrahash = {72f3f0d2d4ac3b2a443a4993f7dcb213}, issn = {1422-6928}, journal = {J. Math. Fluid Mech.}, keywords = {imported vorlaeufig}, mrclass = {76W05 (35L70 37M20 37N10 76L05)}, mrnumber = {2205154 (2006j:76164)}, mrreviewer = {Dehua Wang}, number = 1, owner = {szur}, pages = {120--145}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {On the structure of {MHD} shock waves in diffusive-dispersive media}, url = {http://dx.doi.org/10.1007/s00021-004-0149-z}, volume = 8, year = 2006 }
3. C. Merkle and C. Rohde, “Computation of dynamical phase transitions in solids,” Appl. Numer. Math., vol. 56, no. 10–11, pp. 1450--1463, 2006.
  - BibTeX
  - Link
  @article{merkle2006computation, added-at = {2018-07-16T09:54:04.000+0200}, author = {Merkle, C. and Rohde, C.}, coden = {ANMAEL}, doi = {10.1016/j.apnum.2006.03.025}, fjournal = {Applied Numerical Mathematics. An IMACS Journal}, interhash = {b9d8307df85dae3175ce25a84ce2f74d}, intrahash = {4f5d711f69476a77105105cd2e45dbaf}, issn = {0168-9274}, journal = {Appl. Numer. Math.}, keywords = {imported vorlaeufig}, mrclass = {74N99 (74H15 74J40 74N15 82C26)}, mrnumber = {2245467 (2007i:74093)}, number = {10-11}, owner = {szur}, pages = {1450--1463}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Computation of dynamical phase transitions in solids}, url = {http://dx.doi.org/10.1016/j.apnum.2006.03.025}, volume = 56, year = 2006 }
4. V. Jovanović and C. Rohde, “Error estimates for finite volume approximations of classical solutions for nonlinear systems of hyperbolic balance laws,” SIAM J. Numer. Anal., vol. 43, no. 6, pp. 2423--2449 (electronic), 2006.
  - BibTeX
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  @article{jovanovic2006error, added-at = {2018-07-16T09:54:04.000+0200}, author = {Jovanovi{\'c}, Vladimir and Rohde, Christian}, doi = {10.1137/S0036142903438136}, fjournal = {SIAM Journal on Numerical Analysis}, interhash = {cf80cfcd6df42a27e22ebb55b50a0307}, intrahash = {d9c381b67f5fa967c62689005806a60c}, issn = {0036-1429}, journal = {SIAM J. Numer. Anal.}, keywords = {imported vorlaeufig}, mrclass = {65M12 (35L60 35L65 65M06)}, mrnumber = {2206442 (2006j:65263)}, mrreviewer = {Doron Levy}, number = 6, owner = {szur}, pages = {2423--2449 (electronic)}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Error estimates for finite volume approximations of classical solutions for nonlinear systems of hyperbolic balance laws}, url = {http://dx.doi.org/10.1137/S0036142903438136}, volume = 43, year = 2006 }
2005
1. F. Coquel, D. Diehl, C. Merkle, and C. Rohde, “Sharp and diffuse interface methods for phase transition problems in liquid-vapour flows,” in Numerical methods for hyperbolic and kinetic problems, vol. 7, Eur. Math. Soc., Zürich, 2005, pp. 239--270.
  - BibTeX
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  @incollection{coquel2005sharp, added-at = {2018-07-16T09:54:04.000+0200}, author = {Coquel, F. and Diehl, D. and Merkle, C. and Rohde, C.}, booktitle = {Numerical methods for hyperbolic and kinetic problems}, doi = {10.4171/012-1/11}, interhash = {4e5cb37306020924c2daaa331566d6b4}, intrahash = {77f241d7f4938ba7fc4e907da8ba99dd}, keywords = {imported vorlaeufig}, mrclass = {80A22 (65M06 76N99)}, mrnumber = {2186374 (2006j:80005)}, mrreviewer = {Ulisse Stefanelli}, owner = {szur}, pages = {239--270}, publisher = {Eur. Math. Soc., Z\"urich}, series = {IRMA Lect. Math. Theor. Phys.}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Sharp and diffuse interface methods for phase transition problems in liquid-vapour flows}, url = {http://dx.doi.org/10.4171/012-1/11}, volume = 7, year = 2005 }
2. M. J. Gander and C. Rohde, “Overlapping Schwarz waveform relaxation for convection-dominated nonlinear conservation laws,” SIAM J. Sci. Comput., vol. 27, no. 2, pp. 415--439, 2005.
  - BibTeX
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  @article{gander2005overlapping, added-at = {2018-07-16T09:54:04.000+0200}, author = {Gander, Martin J. and Rohde, Christian}, doi = {10.1137/030601090}, fjournal = {SIAM Journal on Scientific Computing}, interhash = {7b3f12b91df60a3081634166c43f2f62}, intrahash = {20dd69f2bbc6f0cfe336c3e0dd5d450f}, issn = {1064-8275}, journal = {SIAM J. Sci. Comput.}, keywords = {imported vorlaeufig}, mrclass = {35L65 (35B25 35K55 65M55)}, mrnumber = {2202227 (2006i:35234)}, number = 2, owner = {szur}, pages = {415--439}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Overlapping {S}chwarz waveform relaxation for convection-dominated nonlinear conservation laws}, url = {http://dx.doi.org/10.1137/030601090}, volume = 27, year = 2005 }
3. C. Rohde, “On local and non-local Navier-Stokes-Korteweg systems for liquid-vapour phase transitions,” ZAMM Z. Angew. Math. Mech., vol. 85, no. 12, pp. 839--857, 2005.
  - BibTeX
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  @article{rohde2005local, added-at = {2018-07-16T09:54:04.000+0200}, author = {Rohde, Christian}, doi = {10.1002/zamm.200410211}, fjournal = {ZAMM. Zeitschrift f\"ur Angewandte Mathematik und Mechanik. Journal of Applied Mathematics and Mechanics}, interhash = {8d1aa0b1c6885afae0db7ff9c915ac58}, intrahash = {2a525c28a3adc961db60e5301a04ed24}, issn = {0044-2267}, journal = {ZAMM Z. Angew. Math. Mech.}, keywords = {imported vorlaeufig}, mrclass = {35Q35 (35B30 76N10 76T10 80A22)}, mrnumber = {2184845 (2006h:35217)}, number = 12, owner = {szur}, pages = {839--857}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {On local and non-local {N}avier-{S}tokes-{K}orteweg systems for liquid-vapour phase transitions}, url = {http://dx.doi.org/10.1002/zamm.200410211}, volume = 85, year = 2005 }
4. C. Rohde, “Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy,” Interfaces Free Bound., vol. 7, no. 1, pp. 107--129, 2005.
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  @article{rohde2005phase, added-at = {2018-07-16T09:54:04.000+0200}, author = {Rohde, Christian}, doi = {10.4171/IFB/116}, fjournal = {Interfaces and Free Boundaries. Mathematical Modelling, Analysis and Computation}, interhash = {efb152751220913fcc523a1c63248669}, intrahash = {85dcd913beeca7cdb654134fb469ebd9}, issn = {1463-9963}, journal = {Interfaces Free Bound.}, keywords = {imported vorlaeufig}, mrclass = {35L65 (35L45 35L67 35Q72 74N99 82B26)}, mrnumber = {2126146 (2005k:35268)}, mrreviewer = {Nicole Turb{\'e}}, number = 1, owner = {szur}, pages = {107--129}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy}, url = {http://dx.doi.org/10.4171/IFB/116}, volume = 7, year = 2005 }
5. M. J. Gander and C. Rohde, “Nonlinear advection problems and overlapping Schwarz waveform relaxation,” in Domain decomposition methods in science and engineering, vol. 40, Berlin: Springer, 2005, pp. 251--258.
  - BibTeX
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  @incollection{gander2005nonlinear, added-at = {2018-07-16T09:54:04.000+0200}, address = {Berlin}, author = {Gander, Martin J. and Rohde, Christian}, booktitle = {Domain decomposition methods in science and engineering}, doi = {10.1007/3-540-26825-1_23}, interhash = {f39b42d4fda1d982a9348d6e7d3519d2}, intrahash = {2b83b7ad3f0f8317ad8d5c9c9ea99cc1}, keywords = {imported vorlaeufig}, mrclass = {65M55}, mrnumber = {2235749}, owner = {szur}, pages = {251--258}, publisher = {Springer}, series = {Lect. Notes Comput. Sci. Eng.}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Nonlinear advection problems and overlapping {S}chwarz waveform relaxation}, url = {http://dx.doi.org/10.1007/3-540-26825-1_23}, volume = 40, year = 2005 }
6. A. Dedner, D. Kröner, C. Rohde, and M. Wesenberg, “Radiation magnetohydrodynamics: analysis for model problems and efficient 3d-simulations for the full system,” in Analysis and numerics for conservation laws, Berlin: Springer, 2005, pp. 163--202.
  - BibTeX
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  @incollection{dedner2005radiation, added-at = {2018-07-16T09:54:04.000+0200}, address = {Berlin}, author = {Dedner, A. and Kr{\"o}ner, D. and Rohde, C. and Wesenberg, M.}, booktitle = {Analysis and numerics for conservation laws}, doi = {10.1007/3-540-27907-5_8}, interhash = {f7104a698669c5f8c59ecbf1200e5b97}, intrahash = {c3e7e8019b678f5a9110a0014ccfdef9}, keywords = {imported vorlaeufig}, mrclass = {85A30 (35B35 35Q35 76W05 85-08)}, mrnumber = {2169928 (2006m:85002)}, mrreviewer = {Nina G. Khatiashvili}, owner = {szur}, pages = {163--202}, publisher = {Springer}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Radiation magnetohydrodynamics: analysis for model problems and efficient 3d-simulations for the full system}, url = {http://dx.doi.org/10.1007/3-540-27907-5_8}, year = 2005 }
2004
1. A. Dedner, C. Rohde, B. Schupp, and M. Wesenberg, “A parallel, load-balanced MHD code on locally-adapted unstructured grids in 3d,” Comput. Vis. Sci., vol. 7, no. 2, pp. 79--96, 2004.
  - BibTeX
  - Link
  @article{dedner2004parallel, added-at = {2018-07-16T09:54:04.000+0200}, author = {Dedner, Andreas and Rohde, Christian and Schupp, Bernhard and Wesenberg, Matthias}, doi = {10.1007/s00791-004-0140-5}, fjournal = {Computing and Visualization in Science}, interhash = {5110acea5d11b17100d33b2ea5212284}, intrahash = {5e34dc1efc58533746305197b6cc0e28}, issn = {1432-9360}, journal = {Comput. Vis. Sci.}, keywords = {imported vorlaeufig}, mrclass = {76M12 (65M50 76W05 85A30)}, mrnumber = {2088784 (2006a:76075)}, mrreviewer = {Alexander M. Blokhin}, number = 2, owner = {szur}, pages = {79--96}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A parallel, load-balanced {MHD} code on locally-adapted unstructured grids in 3d}, url = {http://dx.doi.org/10.1007/s00791-004-0140-5}, volume = 7, year = 2004 }
2. A. Dedner and C. Rohde, “Numerical approximation of entropy solutions for hyperbolic integro-differential equations,” Numer. Math., vol. 97, no. 3, pp. 441--471, 2004.
  - BibTeX
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  @article{dedner2004numerical, added-at = {2018-07-16T09:54:04.000+0200}, author = {Dedner, Andreas and Rohde, Christian}, coden = {NUMMA7}, doi = {10.1007/s00211-003-0502-9}, fjournal = {Numerische Mathematik}, interhash = {68a0a742738e75bd3203dc2dda0491a9}, intrahash = {a980056a7df78213e1bd0a32f1e20eed}, issn = {0029-599X}, journal = {Numer. Math.}, keywords = {imported vorlaeufig}, mrclass = {45K05 (35L60 35Q35 65M06 65M15)}, mrnumber = {2059465 (2005f:45016)}, mrreviewer = {Guillaume Bal}, number = 3, owner = {szur}, pages = {441--471}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Numerical approximation of entropy solutions for hyperbolic integro-differential equations}, url = {http://dx.doi.org/10.1007/s00211-003-0502-9}, volume = 97, year = 2004 }
3. C. Rohde and M. D. Thanh, “Global existence for phase transition problems via a variational scheme,” J. Hyperbolic Differ. Equ., vol. 1, no. 4, pp. 747--768, 2004.
  - BibTeX
  - Link
  @article{rohde2004global, added-at = {2018-07-16T09:54:04.000+0200}, author = {Rohde, Christian and Thanh, Mai Duc}, doi = {10.1142/S0219891604000329}, fjournal = {Journal of Hyperbolic Differential Equations}, interhash = {bfce8d03d4a9bf5526cc379676c67a86}, intrahash = {e77af2ef5ea705848b762e9da1a7eff0}, issn = {0219-8916}, journal = {J. Hyperbolic Differ. Equ.}, keywords = {imported vorlaeufig}, mrclass = {35K50 (35A35 74H20 74N99)}, mrnumber = {2111581 (2005k:35183)}, mrreviewer = {L. Hsiao}, number = 4, owner = {szur}, pages = {747--768}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Global existence for phase transition problems via a variational scheme}, url = {http://dx.doi.org/10.1142/S0219891604000329}, volume = 1, year = 2004 }
2003
1. D. Kröner, M. Küther, M. Ohlberger, and C. Rohde, “A posteriori error estimates and adaptive methods for hyperbolic and convection dominated parabolic conservation laws,” in Trends in nonlinear analysis, Berlin: Springer, 2003, pp. 289--306.
  - BibTeX
  @incollection{kroner2003posteriori, added-at = {2018-07-16T09:54:04.000+0200}, address = {Berlin}, author = {Kr{\"o}ner, Dietmar and K{\"u}ther, Marc and Ohlberger, Mario and Rohde, Christian}, booktitle = {Trends in nonlinear analysis}, interhash = {079e342d63c1399990f16f448364eaab}, intrahash = {d7d8f40196cc1a77ef34b0801fb34047}, keywords = {imported vorlaeufig}, mrclass = {65M15 (65M06 65M50 76M12)}, mrnumber = {1999102 (2004g:65117)}, owner = {szur}, pages = {289--306}, publisher = {Springer}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A posteriori error estimates and adaptive methods for hyperbolic and convection dominated parabolic conservation laws}, year = 2003 }
2. C. Rohde and W. Zajaczkowski, “On the Cauchy problem for the equations of ideal compressible MHD fluids with radiation,” Appl. Math., vol. 48, no. 4, pp. 257--277, 2003.
  - BibTeX
  - Link
  @article{rohde2003cauchy, added-at = {2018-07-16T09:54:04.000+0200}, author = {Rohde, C. and Zaj{\polhk{a}}czkowski, W.}, doi = {10.1023/A:1026010631074}, fjournal = {Applications of Mathematics}, interhash = {8a1bfdaeb31e5f5aeaf892daf6fa6788}, intrahash = {803671638a8e0ba93b6f2a6cec4934c1}, issn = {0862-7940}, journal = {Appl. Math.}, keywords = {imported vorlaeufig}, mrclass = {35Q35 (35L60 35Q60 76N10 76W05)}, mrnumber = {1994377 (2004f:35147)}, mrreviewer = {Paolo Secchi}, number = 4, owner = {szur}, pages = {257--277}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {On the {C}auchy problem for the equations of ideal compressible {MHD} fluids with radiation}, url = {http://dx.doi.org/10.1023/A:1026010631074}, volume = 48, year = 2003 }
3. H. Freistühler and C. Rohde, “The bifurcation analysis of the MHD Rankine-Hugoniot equations for a perfect gas,” Phys. D, vol. 185, no. 2, pp. 78--96, 2003.
  - BibTeX
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  @article{freistuhler2003bifurcation, added-at = {2018-07-16T09:54:04.000+0200}, author = {Freist{\"u}hler, Heinrich and Rohde, Christian}, coden = {PDNPDT}, doi = {10.1016/S0167-2789(03)00206-9}, fjournal = {Physica D. Nonlinear Phenomena}, interhash = {943beed6787ddf4e147cf6344ded58a1}, intrahash = {862f10c1ed04d0f0aac24106dc45ae94}, issn = {0167-2789}, journal = {Phys. D}, keywords = {imported vorlaeufig}, mrclass = {76L05 (35B32 35L67 76N15 76W05)}, mrnumber = {2014893 (2004k:76079)}, mrreviewer = {Alastair M. Rucklidge}, number = 2, owner = {szur}, pages = {78--96}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {The bifurcation analysis of the {MHD} {R}ankine-{H}ugoniot equations for a perfect gas}, url = {http://dx.doi.org/10.1016/S0167-2789(03)00206-9}, volume = 185, year = 2003 }
4. A. Dedner, C. Rohde, and M. Wesenberg, “Efficient higher-order finite volume schemes for (real gas) magnetohydrodynamics,” in Hyperbolic problems: theory, numerics, applications, Berlin: Springer, 2003, pp. 499--508.
  - BibTeX
  @incollection{dedner2003efficient, added-at = {2018-07-16T09:54:04.000+0200}, address = {Berlin}, author = {Dedner, Andreas and Rohde, Christian and Wesenberg, Matthias}, booktitle = {Hyperbolic problems: theory, numerics, applications}, interhash = {ad232b2e146e7699608417fa8c0e56c4}, intrahash = {56e1c4150be01d7e298629dc61aae8c0}, keywords = {imported vorlaeufig}, mrclass = {65M06 (35Q35 65M50 76M12)}, mrnumber = {2053199}, owner = {szur}, pages = {499--508}, publisher = {Springer}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Efficient higher-order finite volume schemes for (real gas) magnetohydrodynamics}, year = 2003 }
5. A. Dedner, C. Rohde, and M. Wesenberg, “A new approach to divergence cleaning in magnetohydrodynamic simulations,” in Hyperbolic problems: theory, numerics, applications, Berlin: Springer, 2003, pp. 509--518.
  - BibTeX
  @incollection{dedner2003approach, added-at = {2018-07-16T09:54:04.000+0200}, address = {Berlin}, author = {Dedner, Andreas and Rohde, Christian and Wesenberg, Matthias}, booktitle = {Hyperbolic problems: theory, numerics, applications}, interhash = {cd53de85c4b679e7f40d91b022bb7934}, intrahash = {ed81b400bc674445d212a9844bbb9c50}, keywords = {imported vorlaeufig}, mrclass = {76M25 (76W05)}, mrnumber = {2053200}, owner = {szur}, pages = {509--518}, publisher = {Springer}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A new approach to divergence cleaning in magnetohydrodynamic simulations}, year = 2003 }
2002
1. A. Dedner and C. Rohde, “FV-schemes for a scalar model problem of radiation magnetohydrodynamics,” in Finite volumes for complex applications, III (Porquerolles, 2002), Hermes Sci. Publ., Paris, 2002, pp. 165--172.
  - BibTeX
  @incollection{dedner2002fvschemes, added-at = {2018-07-16T09:54:04.000+0200}, author = {Dedner, Andreas and Rohde, Christian}, booktitle = {Finite volumes for complex applications, {III} ({P}orquerolles, 2002)}, interhash = {0385e6992d13d3b0492c532ef554eb12}, intrahash = {5610ed805c894abd6e5091485723c772}, keywords = {imported vorlaeufig}, mrclass = {65M06 (76W05 78A40 85A30)}, mrnumber = {2007414}, owner = {szur}, pages = {165--172}, publisher = {Hermes Sci. Publ., Paris}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {F{V}-schemes for a scalar model problem of radiation magnetohydrodynamics}, year = 2002 }
2. H. Freistühler and C. Rohde, “Numerical computation of viscous profiles for hyperbolic conservation laws,” Math. Comp., vol. 71, no. 239, pp. 1021--1042 (electronic), 2002.
  - BibTeX
  - Link
  @article{freistuhler2002numerical, added-at = {2018-07-16T09:54:04.000+0200}, author = {Freist{\"u}hler, Heinrich and Rohde, Christian}, coden = {MCMPAF}, doi = {10.1090/S0025-5718-01-01340-0}, fjournal = {Mathematics of Computation}, interhash = {1fc47d29ebd83c13b8213d4fcd9c5089}, intrahash = {6b523b58ef1ff67d4938de3d7b4be730}, issn = {0025-5718}, journal = {Math. Comp.}, keywords = {imported vorlaeufig}, mrclass = {65M99 (35L65 76M25 76N10 76W05)}, mrnumber = {1898744 (2003f:65178)}, mrreviewer = {Gholam-Ali Zakeri}, number = 239, owner = {szur}, pages = {1021--1042 (electronic)}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Numerical computation of viscous profiles for hyperbolic conservation laws}, url = {http://dx.doi.org/10.1090/S0025-5718-01-01340-0}, volume = 71, year = 2002 }
3. M. Ohlberger and C. Rohde, “Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems,” IMA J. Numer. Anal., vol. 22, no. 2, pp. 253--280, 2002.
  - BibTeX
  - Link
  @article{ohlberger2002adaptive, added-at = {2018-07-16T09:54:04.000+0200}, author = {Ohlberger, Mario and Rohde, Christian}, coden = {IJNADN}, doi = {10.1093/imanum/22.2.253}, fjournal = {IMA Journal of Numerical Analysis}, interhash = {60e87306eca05b5bb10b710887f48e1f}, intrahash = {159634c14795c5b2d91c497ca7986368}, issn = {0272-4979}, journal = {IMA J. Numer. Anal.}, keywords = {imported vorlaeufig}, mrclass = {65M06 (65M15 76M12)}, mrnumber = {1897409 (2003e:65152)}, number = 2, owner = {szur}, pages = {253--280}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems}, url = {http://dx.doi.org/10.1093/imanum/22.2.253}, volume = 22, year = 2002 }
4. P. G. Lefloch, J. M. Mercier, and C. Rohde, “Fully discrete, entropy conservative schemes of arbitrary order,” SIAM J. Numer. Anal., vol. 40, no. 5, pp. 1968--1992 (electronic), 2002.
  - BibTeX
  - Link
  @article{lefloch2002fully, added-at = {2018-07-16T09:54:04.000+0200}, author = {Lefloch, P. G. and Mercier, J. M. and Rohde, C.}, doi = {10.1137/S003614290240069X}, fjournal = {SIAM Journal on Numerical Analysis}, interhash = {745a81c9fbdc0a36f6fc7af40885c8f7}, intrahash = {ee5c9bd5c46da5c25f07749cea6c6871}, issn = {0036-1429}, journal = {SIAM J. Numer. Anal.}, keywords = {imported vorlaeufig}, mrclass = {65M06 (35L65 35M10)}, mrnumber = {1950629 (2003k:65088)}, mrreviewer = {Dennis C. Jespersen}, number = 5, owner = {szur}, pages = {1968--1992 (electronic)}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Fully discrete, entropy conservative schemes of arbitrary order}, url = {http://dx.doi.org/10.1137/S003614290240069X}, volume = 40, year = 2002 }
2001
1. B. Haasdonk, D. Kröner, and C. Rohde, “Convergence of a staggered Lax-Friedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids,” Numer. Math., vol. 88, no. 3, pp. 459--484, 2001.
  - BibTeX
  @article{haasdonk2001convergence, added-at = {2018-07-16T09:54:04.000+0200}, author = {Haasdonk, B. and Kröner, D. and Rohde, C.}, coden = {NUMMA7}, doi = {10.1007/s211-001-8011-x}, file = {:/afs/.mathe/public/www/ians/am/Haasdonk/publications/HKR01.pdf:PDF}, fjournal = {Numerische Mathematik}, interhash = {02c7a80784f682f153e5394383f816ba}, intrahash = {fbe7400a9c83cee273277c4493d8c006}, issn = {0029-599X}, journal = {Numer. Math.}, keywords = {imported vorlaeufig}, mrclass = {65M06}, mrnumber = {1835467 (2002c:65133)}, mrreviewer = {Kenneth H. Karlsen}, number = 3, owner = {szur}, pages = {459--484}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Convergence of a staggered {L}ax-{F}riedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids}, volume = 88, year = 2001 }
2. A. Dedner, D. Kröner, C. Rohde, and M. Wesenberg, “Godunov-type schemes for the MHD equations,” in Godunov methods (Oxford, 1999), Kluwer/Plenum, New York, 2001, pp. 209--216.
  - BibTeX
  @incollection{dedner2001godunovtype, added-at = {2018-07-16T09:54:04.000+0200}, author = {Dedner, A. and Kr{\"o}ner, D. and Rohde, C. and Wesenberg, M.}, booktitle = {Godunov methods ({O}xford, 1999)}, interhash = {34c4f5ab3673de6a06fdacc85eacf1b5}, intrahash = {9b0c9bebc84a0dc808c8db35725221d5}, keywords = {imported vorlaeufig}, mrclass = {76M20 (76W05)}, mrnumber = {1963594}, owner = {szur}, pages = {209--216}, publisher = {Kluwer/Plenum, New York}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Godunov-type schemes for the {MHD} equations}, year = 2001 }
3. P. G. LeFloch and C. Rohde, “Zero diffusion-dispersion limits for self-similar Riemann solutions to hyperbolic systems of conservation laws,” Indiana Univ. Math. J., vol. 50, no. 4, pp. 1707--1743, 2001.
  - BibTeX
  - Link
  @article{lefloch2001diffusiondispersion, added-at = {2018-07-16T09:54:04.000+0200}, author = {LeFloch, Philippe G. and Rohde, Christian}, coden = {IUMJAB}, doi = {10.1512/iumj.2001.50.2057}, fjournal = {Indiana University Mathematics Journal}, interhash = {b0dad76ebcf9b9d5c80f00c45574e49b}, intrahash = {3f0b866f0dbcdf70dbda4e65c6856459}, issn = {0022-2518}, journal = {Indiana Univ. Math. J.}, keywords = {imported vorlaeufig}, mrclass = {35L65}, mrnumber = {1889079 (2002k:35194)}, mrreviewer = {Denis Serre}, number = 4, owner = {szur}, pages = {1707--1743}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Zero diffusion-dispersion limits for self-similar {R}iemann solutions to hyperbolic systems of conservation laws}, url = {http://dx.doi.org/10.1512/iumj.2001.50.2057}, volume = 50, year = 2001 }
4. T. Hillen, C. Rohde, and F. Lutscher, “Existence of weak solutions for a hyperbolic model of chemosensitive movement,” J. Math. Anal. Appl., vol. 260, no. 1, pp. 173--199, 2001.
  - BibTeX
  - Link
  @article{hillen2001existence, added-at = {2018-07-16T09:54:04.000+0200}, author = {Hillen, Thomas and Rohde, Christian and Lutscher, Frithjof}, coden = {JMANAK}, doi = {10.1006/jmaa.2001.7447}, fjournal = {Journal of Mathematical Analysis and Applications}, interhash = {bdfd056e619881a2b61f3e536038f2d8}, intrahash = {1cdd88920d996738abf188ef29645256}, issn = {0022-247X}, journal = {J. Math. Anal. Appl.}, keywords = {imported vorlaeufig}, mrclass = {35Q80 (35A35 35D05 35L60 92C17)}, mrnumber = {1843975 (2003c:35153)}, number = 1, owner = {szur}, pages = {173--199}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Existence of weak solutions for a hyperbolic model of chemosensitive movement}, url = {http://dx.doi.org/10.1006/jmaa.2001.7447}, volume = 260, year = 2001 }
5. B. Haasdonk, D. Kröner, and C. Rohde, “Convergence of a staggered Lax-Friedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids,” Numer. Math., vol. 88, no. 3, pp. 459--484, 2001.
  - BibTeX
  - Link
  @article{haasdonk2001convergence, added-at = {2018-07-16T09:54:04.000+0200}, author = {Haasdonk, B. and Kr{\"o}ner, D. and Rohde, C.}, coden = {NUMMA7}, doi = {10.1007/s211-001-8011-x}, file = {:http\://www.mathematik.uni-stuttgart.de/fak8/ians/publications/files/Haasdonk2001a_www_preprint_StgLxF_convergence.pdf:PDF}, fjournal = {Numerische Mathematik}, interhash = {d933eaf1d6fe632b42206e3bd630f769}, intrahash = {e1c60d0b0fadf49c8e0d5a8e86d9d805}, issn = {0029-599X}, journal = {Numer. Math.}, keywords = {imported vorlaeufig}, mrclass = {65M06}, mrnumber = {MR1835467 (2002c:65133)}, mrreviewer = {Kenneth H. Karlsen}, number = 3, owner = {haasdonk}, pages = {459--484}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Convergence of a staggered {L}ax-{F}riedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids}, url = {http://dx.doi.org/10.1007/s211-001-8011-x}, volume = 88, year = 2001 }
6. A. Dedner, D. Kröner, C. Rohde, and M. Wesenberg, “MHD instabilities arising in solar physics: a numerical approach,” in Hyperbolic problems: theory, numerics, applications, Vol. I, II (Magdeburg, 2000), vol. 141, Basel: Birkhäuser, 2001, pp. 277--286.
  - BibTeX
  @incollection{dedner2001instabilities, added-at = {2018-07-16T09:54:04.000+0200}, address = {Basel}, author = {Dedner, Andreas and Kr{\"o}ner, Dietmar and Rohde, Christian and Wesenberg, Matthias}, booktitle = {Hyperbolic problems: theory, numerics, applications, {V}ol. {I}, {II} ({M}agdeburg, 2000)}, interhash = {eeb30438973e30e323576a57b99c0228}, intrahash = {3571345b1376d5775ff1dc947de7c18f}, keywords = {imported vorlaeufig}, mrclass = {85A30 (76E25 76W05 85-08)}, mrnumber = {1882928}, owner = {szur}, pages = {277--286}, publisher = {Birkh\"auser}, series = {Internat. Ser. Numer. Math., 140}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {M{HD} instabilities arising in solar physics: a numerical approach}, volume = 141, year = 2001 }
2000
1. P. G. Lefloch and C. Rohde, “High-order schemes, entropy inequalities, and nonclassical shocks,” SIAM J. Numer. Anal., vol. 37, no. 6, pp. 2023--2060 (electronic), 2000.
  - BibTeX
  - Link
  @article{lefloch2000highorder, added-at = {2018-07-16T09:54:04.000+0200}, author = {Lefloch, Philippe G. and Rohde, Christian}, doi = {10.1137/S0036142998345256}, fjournal = {SIAM Journal on Numerical Analysis}, interhash = {4730755526ae3284b7a2eee1b71dfaa0}, intrahash = {6eb4b29e3d17fb1722c0641731abc41b}, issn = {0036-1429}, journal = {SIAM J. Numer. Anal.}, keywords = {imported vorlaeufig}, mrclass = {65M12 (35L67 76L05 76M20)}, mrnumber = {1766858 (2001e:65139)}, mrreviewer = {Eun-Jae Park}, number = 6, owner = {szur}, pages = {2023--2060 (electronic)}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {High-order schemes, entropy inequalities, and nonclassical shocks}, url = {http://dx.doi.org/10.1137/S0036142998345256}, volume = 37, year = 2000 }
1999
1. A. Dedner, C. Rohde, and M. Wesenberg, “A MHD-simulation in solar physics,” in Finite volumes for complex applications II, Hermes Sci. Publ., Paris, 1999, pp. 491--498.
  - BibTeX
  @incollection{dedner1999mhdsimulation, added-at = {2018-07-16T09:54:04.000+0200}, author = {Dedner, A. and Rohde, C. and Wesenberg, M.}, booktitle = {Finite volumes for complex applications {II}}, interhash = {52cf697b690e9baa49d9eb36bb92cbc9}, intrahash = {592e5226602e8c65c4c1973064593db5}, keywords = {imported vorlaeufig}, mrclass = {65M50 (76W05 85A30)}, mrnumber = {2062167}, owner = {szur}, pages = {491--498}, publisher = {Hermes Sci. Publ., Paris}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {A {MHD}-simulation in solar physics}, year = 1999 }
2. H. Freistühler and C. Rohde, “Numerical methods for viscous profiles of non-classical shock waves,” in Hyperbolic problems: theory, numerics, applications, Vol. I (Zürich, 1998), vol. 129, Basel: Birkhäuser, 1999, pp. 333--342.
  - BibTeX
  @incollection{freistuhler1999numerical, added-at = {2018-07-16T09:54:04.000+0200}, address = {Basel}, author = {Freist{\"u}hler, Heinrich and Rohde, Christian}, booktitle = {Hyperbolic problems: theory, numerics, applications, {V}ol. {I} ({Z}\"urich, 1998)}, interhash = {62259a17b58f0c956c11e292a39c5af8}, intrahash = {d778fc078cae37923443efdf1dba59fb}, keywords = {imported vorlaeufig}, mrclass = {65M30 (76L05 76M25 76W05)}, mrnumber = {1717203 (2000i:65140)}, mrreviewer = {Shi Jin}, owner = {szur}, pages = {333--342}, publisher = {Birkh\"auser}, series = {Internat. Ser. Numer. Math.}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Numerical methods for viscous profiles of non-classical shock waves}, volume = 129, year = 1999 }
1998
1. C. Rohde, “Upwind finite volume schemes for weakly coupled hyperbolic systems of conservation laws in 2D,” Numer. Math., vol. 81, no. 1, pp. 85--123, 1998.
  - BibTeX
  - Link
  @article{rohde1998upwind, added-at = {2018-07-16T09:54:04.000+0200}, author = {Rohde, Christian}, coden = {NUMMA7}, doi = {10.1007/s002110050385}, fjournal = {Numerische Mathematik}, interhash = {6857a4210b3504679ec0f3703371fae9}, intrahash = {91ce0791dc5976c39dae93762bbcf362}, issn = {0029-599X}, journal = {Numer. Math.}, keywords = {imported vorlaeufig}, mrclass = {65M60 (35L65 76M25 76N15)}, mrnumber = {1657726 (99j:65174)}, mrreviewer = {Riccardo Fazio}, number = 1, owner = {szur}, pages = {85--123}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Upwind finite volume schemes for weakly coupled hyperbolic systems of conservation laws in 2{D}}, url = {http://dx.doi.org/10.1007/s002110050385}, volume = 81, year = 1998 }
2. C. Rohde, “Entropy solutions for weakly coupled hyperbolic systems in several space dimensions,” Z. Angew. Math. Phys., vol. 49, no. 3, pp. 470--499, 1998.
  - BibTeX
  - Link
  @article{rohde1998entropy, added-at = {2018-07-16T09:54:04.000+0200}, author = {Rohde, Christian}, coden = {AZMPA8}, doi = {10.1007/s000000050102}, fjournal = {Zeitschrift f\"ur Angewandte Mathematik und Physik. ZAMP. Journal of Applied Mathematics and Physics. Journal de Math\'ematiques et de Physique Appliqu\'ees}, interhash = {ace5360bf94cebbd06acc9bf156937c4}, intrahash = {b8e38453143306b9a80a3464f973acba}, issn = {0044-2275}, journal = {Z. Angew. Math. Phys.}, keywords = {imported vorlaeufig}, mrclass = {35L60 (35L65)}, mrnumber = {1629553 (99e:35133)}, mrreviewer = {Ivan Stra{\v{s}}kraba}, number = 3, owner = {szur}, pages = {470--499}, timestamp = {2018-07-16T09:54:04.000+0200}, title = {Entropy solutions for weakly coupled hyperbolic systems in several space dimensions}, url = {http://dx.doi.org/10.1007/s000000050102}, volume = 49, year = 1998 }

Teaching

Winter term 2018/19:
Partielle Differentialgleichungen
Summer term 2018:
Numerische Mathematik 2
Winter term 2017/18:
Numerische Mathematik 1

Christian Rohde

Contact

Consultation

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2018

2017

2016

2015

2014

2013

2012

2011

2010

2009

2008

2007

2006

2005

2004

2003

2002

2001

2000

1999

1998

Teaching