Christian Rohde | Chair of Applied Mathematics | University of Stuttgart

 

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Christian Rohde

Prof. Dr.
Christian  Rohde

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				Christian Rohde
Phone 0049 711 685-65524
Fax 0049 711 685-65599
Room 7.131
Email address
Address
Universität Stuttgart
Institut für Angewandte Analysis und numerische Simulation, Lehrstuhl für Angewandte Mathematik
Pfaffenwaldring 57
70569  Stuttgart
Germany
Consultation

Friday: 10:30 - 11:30 am



Research Interests

  • Analysis and numerics for systems of conservation laws
  • Finite volume and Discontinuous-Galerkin schemes
  • Domain decomposition/Schwarz waveform relaxation
  • Heterogenous multi-scale methods
  • Numerical methods for dynamical systems
  • Analysis and numerics for stochastic partial differential equations
  • Integro-differential equations
 

Fields of applications:

  • Shock waves in fluidmechanical applications
  • Chemosensitive dynamics of cell populations
  • Phase transitions in solid materials
  • Phase transitions in liquid-vapour systems
  • Magnetohydrodynamics in astrophysics and plasmaphysics
  • Porous media flow
 

Recent Preprints

Giesselmann, J.; Meyer, F. & Rohde, C.: A posteriori error analysis for random scalar conservation laws using the Stochastic Galerkin method., 2017, (submitted). Zeige BibTex Zeige Abstract

Rohde, C.: Fully Resolved Compressible Two-Phase Flow: Modelling, Analytical and Numerical Issues, 2017. Zeige BibTex

Seus, D.; Mitra, K.; Pop, I. S.; Radu, F. A. & Rohde, C.: A linear domain decomposition method for partially saturated flow in porous media, 2017, (submitted). Zeige BibTex

Raja Sekhar, G. P.; Sharanya, V. & Rohde, C.: Effect of surfactant concentration and interfacial slip on the flow past a viscous drop at low surface Péclet number, arXiv preprint arXiv:1609.03410, 2016. Zeige BibTex Zeige Abstract

Rohde, C. & Zeiler, C.: On Riemann Solvers and Kinetic Relations for Isothermal Two-Phase Flows with Surface Tension, 2016. Zeige BibTex

Recent Publications

Chalons, C.; Magiera, J.; Rohde, C. & Wiebe, M.: A Finite-Volume Tracking Scheme for Two-Phase Compressible Flow, erscheint bei Springer Proc. Math. Stat., 2017. Zeige BibTex

Chalons, C.; Rohde, C. & Wiebe, M.: A Finite Volume Method for Undercompressive Shock Waves in Two Space Dimensions, ESAIM Math. Model. Numer. Anal., 2017, 51, 1987-2015. Zeige BibTex

Fechter, S.; Munz, C.-D.; Rohde, C. & Zeiler, C.: A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension, J. Comput. Phys., 2017, 336, 347-374. Zeige BibTex Zeige Abstract

Fechter, S.; Munz, C.-D.; Rohde, C. & Zeiler, C.: Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension, Comput. & Fluids, 2017. Zeige BibTex

Köppel, M.; Kröker, I. & Rohde, C.: Intrusive Uncertainty Quantification for Hyperbolic-Elliptic Systems Governing Two-Phase Flow in Heterogeneous Porous Media, Comput. Geosci., 2017, 21, 807-832. Zeige BibTex

Kutter, M.; Rohde, C. & Sändig, A.-M.: Well-Posedness of a Two Scale Model for Liquid Phase Epitaxy with Elasticity, Contin. Mech. Thermodyn., 2017, 29, 989-1016. Zeige BibTex

Magiera, J. & Rohde, C.: A Particle-based Multiscale Solver for Compressible Liquid-Vapor Flow, erscheint bei Springer Proc. Math. Stat., 2017. Zeige BibTex

Barth, A.; Bürger, R.; Kröker, I. & Rohde, C.: Computational uncertainty quantification for a clarifier-thickener model with several random perturbations: A hybrid stochastic Galerkin approach , Comput. Chem. Eng., 2016, 89, 11 - 26. Zeige BibTex

Betancourt, F. & Rohde, C.: Finite-Volume Schemes for Friedrichs Systems with Involutions, App. Math. Comput., 2016, 272, Part 2, 420-439. Zeige BibTex

Colombo, R. M.; LeFloch, P. G. & Rohde, C.: Hyperbolic techniques in Modelling, Analysis and Numerics, Oberwolfach Reports, 2016, 13, 1683-1751. Zeige BibTex

Diehl, D.; Kremser, J.; Kröner, D. & Rohde, C.: Numerical Solution of Navier-Stokes-Korteweg Systems by Local Discontinuous Galerkin Methods in Multiple Space Dimensions, Appl. Math. Comput., 2016, 272, Part 2, 309-335. Zeige BibTex

Dragomirescu, I.; Eisenschmidt, K.; Rohde, C. & Weigand, B.: Perturbation solutions for the finite radially symmetric Stefan problem, Inter. J. Thermal Sci., 2016, 104, 386-395. Zeige BibTex

Dumbser, M.; Gassner, G.; Rohde, C. & Roller, S.: Preface to the special issue ``Recent Advances in Numerical Methods for Hyperbolic Partial Differential Equations'', Appl. Math. Comput., 2016, 272, 235-236. Zeige BibTex

Köppel, M. & Rohde, C.: Uncertainty Quantification for Two-Phase Flow in Heterogeneous Porous Media, PAMM Proc. Appl. Math. Mech., WILEY-VCH Verlag, 2016, 16, 749–750. Zeige BibTex

Kabil, B. & Rohde, C.: Persistence of undercompressive phase boundaries for isothermal Euler equations including configurational forces and surface tension, Math. Meth. Appl. Sci., 2016, 39, 5409-5426. Zeige BibTex

Magiera, J.; Rohde, C. & Rybak, I.: A hyperbolic-elliptic model problem for coupled surface-subsurface flow, Transp. Porous Media, 2016, 114, 425-455. Zeige BibTex

Redeker, M.; Pop, I. S. & Rohde, C.: Upscaling of a Tri-Phase Phase-Field Model for Precipitation in Porous Media, IMA J. Appl. Math., 2016, 81(5), 898-939. Zeige BibTex Zeige Abstract

Sharanya, V.; Raja Sekhar, G. P. & Rohde, C.: Bed of polydisperse viscous spherical drops under thermocapillary effects, Z. Angew. Math. Phys., 2016, 67, 101. Zeige BibTex Zeige Abstract


Teaching

Winter term 2017:


Further information

Complete list of Preprints and Publications .