Junior research group leader at Karlsruhe Institute of Technology

Publications

Preprints

  1. M. Crocoll, C. Döding, B. Dörich, and R. Maier. GLENN: Neural network-enhanced computation of Ginzburg–Landau energy minimizers. Preprint
  2. B. Dörich, R. Maier, and L. Ullmer. Complexity bounds on neural networks for the solution of structured linear systems of equations, 2026. Preprint
  3. B. Dörich and J. Dörner. Leapfrog Crank–Nicolson decoupling of wave-heat-type problems. Preprint
  4. B. Dörich: Approximation of minimizers of the Ginzburg–Landau energy in non-convex domains. Preprint
  5. C. Döding, B. Dörich, and P. Henning: A multiscale approach to the stationary Ginzburg–Landau equations of superconductivity. Preprint
  6. B. Dörich and V. Nikolić: Robust fully discrete error bounds for the Kuznetsov equations in the inviscid limit. Preprint

Peer-reviewed articles

  1. R. Altmann, B. Dörich, and C. Zimmer: Gautschi-type and implicit–explicit integrators for constrained wave equations. Math. Comp., 29pp., 2026. Online first. Link, Preprint
  2. J. Careaga, B. Dörich, and V. Nikolić: Finite element discretization of nonlinear models of ultrasound heating. ESAIM: M2AN 60:111–141, 2026. Link, Preprint
  3. B. Dörich, J. Dörner, and M. Hochbruck: Error analysis of DGTD for linear Maxwell equations with inhomogeneous interface conditions. Math. Comp., 1–31, 2026. Online first. Link, Preprint
  4. S. Burkhard, B. Dörich, M. Hochbruck, and C. Lasser: Variational Gaussian approximation for the magnetic Schrödinger equation. J. Phys. A: Math. Theor. 57, 295202, 2024. Link, Preprint
  5. B. Dörich and P. Henning: Error bounds for discrete minimizers of the Ginzburg-Landau energy in the high-$\kappa$ regime. SIAM J. Numer. Anal., 62(3):1313–1343, 2024. Link, Preprint
  6. B. Dörich: Strong norm error bounds for quasilinear wave equations under weak CFL-type conditions. Found. Comput. Math., 25:303–350, 2025. Link, Preprint
  7. B. Dörich, J. Leibold, and B. Maier: Maximum norm error bounds for the full discretization of non-autonomous wave equations. IMA J. Numer. Anal., 44(4):2480-2512, 2024 Link, Preprint
  8. B. Dörich and K. Zerulla: Wellposedness and regularity for linear Maxwell equations with surface current. Z. Angew. Math. Phys. 74, 131, 2023 Link, Preprint
  9. B. Dörich, J. Leibold, and B. Maier: Optimal W^{1,\infty}-estimates for an isoparametric finite element discretization of elliptic boundary value problems. Electron. Trans. Numer. Anal., 58:1–21, 2023. Link, Preprint
  10. B. Dörich and M. Hochbruck: Exponential integrators for quasilinear wave-type equations. SIAM J. Numer. Anal., 60(3):1472–1493, 2022. Link, Preprint
  11. B. Dörich and J. Leibold: Full discretization error analysis of exponential integrators for semilinear wave equations. Math. Comp., 91(336):1687–1709, 2022. Link, Preprint
  12. S. Buchholz, B. Dörich, and M. Hochbruck: On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. SN Partial Differ. Equ. Appl., 2(2), 2021. Link, Preprint

Software

  1. S. Daubner, A. E. Cohen, B. Dörich, S. J. Cooper: evoxels: A differentiable physics framework for voxel-based microstructure simulations. Journal of Open Source Software, 11(119):9733, 2026. Link, Preprint

Thesis

  1. B. Dörich: “Error Analysis of Exponential Integrators for Nonlinear Wave-Type Equations”. PhD thesis, Karlsruher Institut für Technologie (KIT), February 2021. Link