Contact
+49 711 685 62040
+4971168565507
Email
Website
Pfaffenwaldring 57
70569 Stuttgart
Germany
Room: 7.157
Office Hours
by appointment
Subject
Research area:
Numerical analysis, scientific computing and simulations and in particular:
- Efficient discretizations and solvers for partial differential equations (PDE's) and eigenvalue problems
- Error certification and aposteriori error estimates
- Reduced order modeling
- High Performance Computing (HPC) implementations
- Linear and nonlinear eigenvalue problems in quantum mechanics
- Modeling, analysis and simulation of atomistic models
Applications:
- Implicit solvation models in computational chemistry
- Electronic structure calculations and density functional theory (DFT)
- Polarizable force-fields
- Electrostatic interaction of dielectric particles
- Stochastic homogenization
- Electromagnetic scattering
- Jha, A., Nottoli, M., Mikhalev, A., Quan, C., & Stamm, B. (2023). Linear Scaling Computation of Forces for the Domain-Decomposition Linear Poisson--Boltzmann Method. The Journal of Chemical Physics, 158, 104105. https://doi.org/10.1063/5.0141025
- Stamm, B., & Theisen, L. (2022). A Quasi-Optimal Factorization Preconditioner for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains. SIAM Journal on Numerical Analysis, 60(5), Article 5. https://doi.org/10.1137/21m1456005
- Dusson, G., Sigal, I., & Stamm, B. (2022). Analysis of the Feshbach–Schur method for the Fourier spectral discretizations of Schrödinger operators. Mathematics of Computation, 92(339), Article 339. https://doi.org/10.1090/mcom/3774
- Focks, T., Bamer, F., Markert, B., Wu, Z., & Stamm, B. (2022). Displacement field splitting of defective hexagonal lattices. Physical Review B. https://doi.org/10.1103/PhysRevB.106.014105
- Herbst, M. F., Stamm, B., Wessel, S., & Rizzi, M. (2022). Surrogate models for quantum spin systems based on reduced-order modeling. Physical Review E, 105(4), Article 4. https://doi.org/10.1103/physreve.105.045303
- Benda, R. V., Cancès, E., Ehrlacher, V., & Stamm, B. (2022). Multi-center decomposition of molecular densities: a mathematical perspective. The Journal of Chemical Physics. https://doi.org/10.1063/5.0076630
- Persson, P.-O., & Stamm, B. (2022). A discontinuous Galerkin method for shock capturing using a mixed high-order and sub-grid low-order approximation space. Journal of Computational Physics, 449, 110765. https://doi.org/10.1016/j.jcp.2021.110765
- Jha, A., Nottoli, M., Quan, C., & Stamm, B. (2022). Computation of forces arising from the linear Poisson--Boltzmann method in the domain-decomposition paradigm. arXiv. https://doi.org/10.48550/ARXIV.2203.00552
- Stamm, B., & Xiang, S. (2022). Boundary Integral Equations for Isotropic Linear Elasticity. Journal of Computational Mathematics, 40(6), Article 6. https://doi.org/10.4208/jcm.2103-m2019-0031
- Jha, A., Nottoli, M., Quan, C., & Stamm, B. (2022). Computation of forces arising from the linear Poisson--Boltzmann method in the domain-decomposition paradigm. arXiv. https://doi.org/10.48550/ARXIV.2203.00552
- Bamer, F., Alshabab, S. S., Paul, A., Ebrahem, F., Markert, B., & Stamm, B. (2021). Data-driven classification of elementary rearrangement events in silica glass. Scripta Materialia. https://doi.org/10.1016/j.scriptamat.2021.114179
- Cairano, L. D., Stamm, B., & Calandrini, V. (2021). Subdiffusive-Brownian crossover in membrane proteins: a generalized Langevin equation-based approach. Biophysical Journal, 120(21), Article 21. https://doi.org/10.1016/j.bpj.2021.09.033
- Polack, E., Dusson, G., Stamm, B., & Lipparini, F. (2021). Grassmann Extrapolation of Density Matrices for Born–Oppenheimer Molecular Dynamics. Journal of Chemical Theory and Computation, 17(11), Article 11. https://doi.org/10.1021/acs.jctc.1c00751
- Heid, P., Stamm, B., & Wihler, T. P. (2021). Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation. Journal of Computational Physics, 436, 110165. https://doi.org/10.1016/j.jcp.2021.110165
- Hassan, M., & Stamm, B. (2021). A Linear Scaling in Accuracy Numerical Method for Computing the Electrostatic Forces in the \textdollarN\textdollar-Body Dielectric Spheres Problem. Communications in Computational Physics, 29(2), Article 2. https://doi.org/10.4208/cicp.oa-2020-0090
- Hassan, M., & Stamm, B. (2021). A Linear Scaling in Accuracy Numerical Method for Computing the Electrostatic Forces in the $N$-Body Dielectric Spheres Problem. Communications in Computational Physics, 29(2), Article 2. https://doi.org/10.4208/cicp.oa-2020-0090
- Baptiste, J., Williamson, C., Fox, J., Stace, A. J., Hassan, M., Braun, S., Stamm, B., Mann, I., & Besley, E. (2021). The influence of surface charge on the coalescence of ice and dust particles in the mesosphere and lower thermosphere. Atmospheric Chemistry and Physics, 21(11), Article 11. https://doi.org/10.5194/acp-21-8735-2021
- Reusken, A., & Stamm, B. (2021). Analysis of the Schwarz Domain Decomposition Method for the Conductor-like Screening Continuum Model. SIAM Journal on Numerical Analysis, 59(2), Article 2. https://doi.org/10.1137/20m1342872
- Claeys, X., Hassan, M., & Stamm, B. (2021). Continuity estimates for Riesz potentials on polygonal boundaries. arXiv. https://doi.org/10.48550/ARXIV.2107.10713
- Bramas, B., Hassan, M., & Stamm, B. (2021). An integral equation formulation of the N-body dielectric spheres problem. Part II: complexity analysis. ESAIM: Mathematical Modelling and Numerical Analysis, 55, S625--S651. https://doi.org/10.1051/m2an/2020055
- Hassan, M., & Stamm, B. (2021). An integral equation formulation of the N-body dielectric spheres problem. Part I: numerical analysis. ESAIM: Mathematical Modelling and Numerical Analysis, 55, S65--S102. https://doi.org/10.1051/m2an/2020030
- Claeys, X., Hassan, M., & Stamm, B. (2021). Continuity estimates for Riesz potentials on polygonal boundaries. arXiv. https://doi.org/10.48550/ARXIV.2107.10713
- Dusson, G., Sigal, I. M., & Stamm, B. (2021). The Feshbach-Schur map and perturbation theory. Partial Differential Equations, Spectral Theory, and Mathematical Physics, 65--88. https://doi.org/10.4171/ecr/18
- Cancès, E., Dusson, G., Maday, Y., Stamm, B., & Vohral\’ık, M. (2020). Post-processing of the planewave approximation of Schrödinger equations. Part I: linear operators. IMA Journal of Numerical Analysis, 41(4), Article 4. https://doi.org/10.1093/imanum/draa044
- Cancès, E., Dusson, G., Maday, Y., Stamm, B., & Vohralík, M. (2020). Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters. Mathematics of Computation. https://doi.org/10.1090/mcom/3549
- Polack, É., Mikhalev, A., Dusson, G., Stamm, B., & Lipparini, F. (2020). An approximation strategy to compute accurate initial density matrices for repeated self-consistent field calculations at different geometries. Molecular Physics, 118(19–20), Article 19–20. https://doi.org/10.1080/00268976.2020.1779834
- Duan, X., Quan, C., & Stamm, B. (2020). A boundary-partition-based Voronoi diagram of d-dimensional balls: definition, properties, and applications. Advances in Computational Mathematics, 46(3), Article 3. https://doi.org/10.1007/s10444-020-09765-3
- Ciaramella, G., Hassan, M., & Stamm, B. (2020). On the Scalability of the Schwarz Method. The SMAI Journal of Computational Mathematics, 6, 33--68. https://doi.org/10.5802/smai-jcm.61
- Cancès, E., Ehrlacher, V., Legoll, F., Stamm, B., & Xiang, S. (2020). An embedded corrector problem for homogenization. Part II: Algorithms and discretization. Journal of Computational Physics, 407, 109254. https://doi.org/10.1016/j.jcp.2020.109254
- Cancès, E., Ehrlacher, V., Legoll, F., Stamm, B., & Xiang, S. (2020). An Embedded Corrector Problem for Homogenization. Part I: Theory. Multiscale Modeling &$\mathsemicolon$ Simulation, 18(3), Article 3. https://doi.org/10.1137/18m120035x
- Quan, C., Stamm, B., & Maday, Y. (2019). A Domain Decomposition Method for the Poisson--Boltzmann Solvation Models. SIAM Journal on Scientific Computing, 41(2), Article 2. https://doi.org/10.1137/18m119553x
- Lindgren, E. B., Quan, C., & Stamm, B. (2019). Theoretical analysis of screened many-body electrostatic interactions between charged polarizable particles. The Journal of Chemical Physics. https://doi.org/10.1063/1.5079515
- Stamm, B., Lagardère, L., Polack, É., Maday, Y., & Piquemal, J.-P. (2018). A coherent derivation of the Ewald summation for arbitrary orders of multipoles: The self-terms. The Journal of Chemical Physics. https://doi.org/10.1063/1.5044541
- Stamm, B., Lagardère, L., Scalmani, G., Gatto, P., Cancès, E., Piquemal, J.-P., Maday, Y., Mennucci, B., & Lipparini, F. (2018). How to make continuum solvation incredibly fast in a few simple steps: A practical guide to the domain decomposition paradigm for the conductor-like screening model. International Journal of Quantum Chemistry, e25669. https://doi.org/10.1002/qua.25669
- Cagniart, N., Maday, Y., & Stamm, B. (2018). Model Order Reduction for Problems with Large Convection Effects. In Computational Methods in Applied Sciences (pp. 131--150). Springer International Publishing. https://doi.org/10.1007/978-3-319-78325-3_10
- Nochetto, R. H., & Stamm, B. (2018). A Posteriori Error Estimates for the Electric Field Integral Equation on Polyhedra. In Computational Methods in Applied Sciences (pp. 371--394). Springer International Publishing. https://doi.org/10.1007/978-3-319-78325-3_20
- Quan, C., Stamm, B., & Maday, Y. (2018). A domain decomposition method for the polarizable continuum model based on the solvent excluded surface. Mathematical Models and Methods in Applied Sciences, 28(07), Article 07. https://doi.org/10.1142/s0218202518500331
- Lindgren, E. B., Stamm, B., Maday, Y., Besley, E., & Stace, A. J. (2018). Dynamic simulations of many-body electrostatic self-assembly. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 376(2115), Article 2115. https://doi.org/10.1098/rsta.2017.0143
- Lagardère, L., Jolly, L.-H., Lipparini, F., Aviat, F., Stamm, B., Jing, Z. F., Harger, M., Torabifard, H., Cisneros, G. A., Schnieders, M. J., Gresh, N., Maday, Y., Ren, P. Y., Ponder, J. W., & Piquemal, J.-P. (2018). Tinker-HP: a massively parallel molecular dynamics package for multiscale simulations of large complex systems with advanced point dipole polarizable force fields. Chemical Science. https://doi.org/10.1039/c7sc04531j
- Quan, C., & Stamm, B. (2017). Meshing molecular surfaces based on analytical implicit representation. Journal of Molecular Graphics and Modelling, 71, 200--210. https://doi.org/10.1016/j.jmgm.2016.11.008
- Aviat, F., Levitt, A., Stamm, B., Maday, Y., Ren, P., Ponder, J. W., Lagardere, L., & Piquemal, J.-P. (2017). Truncated Conjugate Gradient: An Optimal Strategy for the Analytical Evaluation of the Many-Body Polarization Energy and Forces in Molecular Simulations. Journal of Chemical Theory and Computation, 13(1), Article 1.
- Lindgren, E. B., Stamm, B., Chan, H.-K., Maday, Y., Stace, A. J., & Besley, E. (2017). The effect of like-charge attraction on aerosol growth in the atmosphere of Titan. Icarus, 291, 245–253.
- Gatto, P., Lipparini, F., & Stamm, B. (2017). Computation of forces arising from the polarizable continuum model within the domain-decomposition paradigm. The Journal of Chemical Physics, 147(22), Article 22.
- Cances, E., Dusson, G., Maday, Y., Stamm, B., & Vohralik, M. (2017). GUARANTEED AND ROBUST A POSTERIORI BOUNDS FOR LAPLACE EIGENVALUES AND EIGENVECTORS: CONFORMING APPROXIMATIONS. Siam Journal on Numerical Analysis, 55(5), Article 5.
- Lin, L., & Stamm, B. (2017). A POSTERIORI ERROR ESTIMATES FOR DISCONTINUOUS GALERKIN METHODS USING NON-POLYNOMIAL BASIS FUNCTIONS. PART II: EIGENVALUE PROBLEMS. Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique, 51(5), Article 5.
- Quan, C., & Stamm, B. (2016). Mathematical analysis and calculation of molecular surfaces. Journal of Computational Physics, 322, 760–782.
- Lin, L., & Stamm, B. (2016). A posteriori error estimates for discontinuous Galerkin methods using non-polynomial basis functions Part I: Second order linear PDE. ESAIM: Mathematical Modelling and Numerical Analysis, 50(4), Article 4.
- Cancès, E., Dusson, G., Maday, Y., Stamm, B., & Vohralík, M. (2016). A perturbation-method-based post-processing for the planewave discretization of Kohn-Sham models. Journal of Computational Physics, 307, 446–459.
- Stamm, B., Cancès, E., Lipparini, F., & Maday, Y. (2016). A new discretization for the polarizable continuum model within the domain decomposition paradigm. Journal of Chemical Physics, 144(5), Article 5.
- Lagardère, L., Lipparini, F., Polack, E., Stamm, B., Cancès, E., Schnieders, M., Ren, P., Maday, Y., & Piquemal, J.-P. (2015). Scalable Evaluation of Polarization Energy and Associated Forces in Polarizable Molecular Dynamics: II. Toward Massively Parallel Computations Using Smooth Particle Mesh Ewald. Journal of Chemical Theory and Computation, 11(6), Article 6. https://doi.org/10.1021/acs.jctc.5b00171
- Cancès, ?., Ehrlacher, V., Legoll, F., & Stamm, B. (2015). An embedded corrector problem to approximate the homogenized coefficients of an elliptic equation. Comptes Rendus Mathematique, 353(9), Article 9.
- Stamm, B., & Wihler, T. P. (2015). A total variation discontinuous Galerkin approach for image restoration. International Journal of Numerical Analysis and Modeling, 12(1), Article 1.
- Caprasecca, S., Jurinovich, S., Lagardère, L., Stamm, B., & Lipparini, F. (2015). Achieving linear scaling in computational cost for a fully polarizable MM/continuum embedding. Journal of Chemical Theory and Computation, 11(2), Article 2.
- Lipparini, F., Lagardère, L., Raynaud, C., Stamm, B., Cancès, E., Mennucci, B., Schnieders, M., Ren, P., Maday, Y., & Piquemal, J.-P. (2015). Polarizable molecular dynamics in a polarizable continuum solvent. Journal of Chemical Theory and Computation, 11(2), Article 2.
- Hesthaven, J. S., Rozza, G., & Stamm, B. (2015). Certified Reduced Basis Methods for Parametrized Partial Differential Equations. Certified Reduced Basis Methods for Parametrized Partial Differential Equations, 1–131.
- Lagardère, L., Lipparini, F., Polack, E., Stamm, B., Cancès, E., Schnieders, M., Ren, P., Maday, Y., & Piquemal, J.-P. (2015). Scalable Evaluation of Polarization Energy and Associated Forces in Polarizable Molecular Dynamics: II. Toward Massively Parallel Computations Using Smooth Particle Mesh Ewald. Journal of Chemical Theory and Computation, 11(6), Article 6.
- Cancès, T., Dusson, G., Maday, Y., Stamm, B., & Vohralík, M. (2014). A perturbation-method-based a posteriori estimator for the planewave discretization of nonlinear Schrödinger equations. Comptes Rendus Mathematique, 352(11), Article 11.
- Lipparini, F., Scalmani, G., Lagardère, L., Stamm, B., Cancès, E., Maday, Y., Piquemal, J.-P., Frisch, M. J., & Mennucci, B. (2014). Quantum, classical, and hybrid QM/MM calculations in solution: General implementation of the ddCOSMO linear scaling strategy. Journal of Chemical Physics, 141(18), Article 18.
- Lipparini, F., Lagardère, L., Stamm, B., Cancès, E., Schnieders, M., Ren, P., Maday, Y., & Piquemal, J.-P. (2014). Scalable evaluation of polarization energy and associated forces in polarizable molecular dynamics: I. Toward massively parallel direct space computations. Journal of Chemical Theory and Computation, 10(4), Article 4.
- Bebendorf, M., Maday, Y., & Stamm, B. (2014). Comparison of Some Reduced Representation Approximations. In Reduced Order Methods for Modeling and Computational Reduction (pp. 67--100). Springer International Publishing. https://doi.org/10.1007/978-3-319-02090-7_3
- Lipparini, F., Lagardère, L., Scalmani, G., Stamm, B., Cancès, E., Maday, Y., Piquemal, J.-P., Frisch, M. J., & Mennucci, B. (2014). Quantum calculations in solution for large to very large molecules: A new linear scaling QM/continuum approach. Journal of Physical Chemistry Letters, 5(6), Article 6.
- Hesthaven, J. S., Stamm, B., & Zhang, S. (2014). EFFICIENT GREEDY ALGORITHMS FOR HIGH-DIMENSIONAL PARAMETER SPACES WITH APPLICATIONS TO EMPIRICAL INTERPOLATION AND REDUCED BASIS METHODS. Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique, 48(1), Article 1.
- Cances, E., Maday, Y., & Stamm, B. (2013). Domain decomposition for implicit solvation models. Journal of Chemical Physics, 139(5), Article 5.
- Lipparini, F., Stamm, B., Cances, E., Maday, Y., & Mennucci, B. (2013). Fast Domain Decomposition Algorithm for Continuum Solvation Models: Energy and First Derivatives. Journal of Chemical Theory and Computation, 9(8), Article 8.
- Maday, Y., & Stamm, B. (2013). LOCALLY ADAPTIVE GREEDY APPROXIMATIONS FOR ANISOTROPIC PARAMETER REDUCED BASIS SPACES. Siam Journal on Scientific Computing, 35(6), Article 6.
- Eftang, J. L., & Stamm, B. (2012). Parameter multi-domain hp’ empirical interpolation. International Journal For Numerical Methods in Engineering, 90(4), Article 4.
- Ganesh, M., Hesthaven, J. S., & Stamm, B. (2012). A reduced basis method for electromagnetic scattering by multiple particles in three dimensions. Journal of Computational Physics, 231(23), Article 23.
- Hesthaven, J. S., Stamm, B., & Zhang, S. (2012). CERTIFIED REDUCED BASIS METHOD FOR THE ELECTRIC FIELD INTEGRAL EQUATION. Siam Journal on Scientific Computing, 34(3), Article 3.
- Eftang, J. L., & Stamm, B. (2012). Parameter multi-domain “hp” empirical interpolation. International Journal for Numerical Methods in Engineering, 90(4), Article 4.
- Stamm, B. (2011). A posteriori estimates for the Bubble Stabilized Discontinuous Galerkin Method. Journal of Computational and Applied Mathematics, 235(15), Article 15.
- Fares, M., Hesthaven, J. S., Maday, Y., & Stamm, B. (2011). The reduced basis method for the electric field integral equation. Journal of Computational Physics, 230(14), Article 14.
- Burman, E., & Stamm, B. (2011). Bubble stabilized discontinuous Galerkin methods on conforming and non-conforming meshes. Calcolo, 48(2), Article 2.
- Burman, E., & Stamm, B. (2010). BUBBLE STABILIZED DISCONTINUOUS GALERKIN METHOD FOR STOKES’ PROBLEM. Mathematical Models & Methods in Applied Sciences, 20(2), Article 2.
- Burman, E., & Stamm, B. (2010). Bubble stabilized discontinuous Galerkin method for parabolic and elliptic problems. Numerische Mathematik, 116(2), Article 2.
- Burman, E., Quarteroni, A., & Stamm, B. (2010). Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations. Journal of Scientific Computing, 43(3), Article 3.
- Stamm, B., & Wihler, T. P. (2010). Hp-optimal discontinuous galerkin methods for linear elliptic problems. Mathematics of Computation, 79(272), Article 272.
- Burman, E. N., & Stamm, B. (2009). Local discontinuous Galerkin method with reduced stabilization for diffusion equations. Communications in Computational Physics, 5(2–4), Article 2–4.
- Burman, E., & Stamm, B. (2008). LOW ORDER DISCONTINUOUS GALERKIN METHODS FOR SECOND ORDER ELLIPTIC PROBLEMS. Siam Journal on Numerical Analysis, 47(1), Article 1.
- Stamm, Benjamin. (2008). Stabilization strategies for discontinuous Galerkin methods [Lausanne, EPFL]. https://doi.org/10.5075/EPFL-THESIS-4135
- Burman, E., & Stamm, B. (2008). Symmetric and non-symmetric discontinuous Galerkin methods stabilized using bubble enrichment. Comptes Rendus Mathematique, 346(1–2), Article 1–2.
- Burman, E., Quarteroni, A., & Stamm, B. (2008). Stabilization strategies for high order methods for transport dominated problems. Bolletino Dell Unione Matematica Italiana, 1(1), Article 1.
- Burman, E., & Stamm, B. (2007). Minimal stabilization for discontinuous galerkin finite element methods for hyperbolic problems. Journal of Scientific Computing, 33(2), Article 2.
- Burman, E., Ern, A., Mozolevski, I., & Stamm, B. (2007). The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders p >= 2. Comptes Rendus Mathematique, 345(10), Article 10.
- 08/22 – present: Professor at Dept. of Mathematics, University of Stuttgart
- 02/16 – 07/22: Professor at Dept. of Mathematics and Center for Computational Engineering Science, RWTH Aachen University
- 09/12 - 01/16: Assistant professor with CNRS chair, Sorbonne Université UPMC Paris 6
- 07/10 - 08/12: Charles B. Morrey Visiting Assistant Professor at the Dept. of Mathematics, University of California, Berkeley
- 10/08 - 06/10: Post-doctoral research associate, Brown University
- 07/08: PhD in Mathematics, École Polytechnique Fédérale de Lausanne (EPFL)
- 04/05: Master in Mathematics, École Polytechnique Fédérale de Lausanne (EPFL)