Tim Buchholz, M. Sc.

Tim Buchholz, M. Sc.

  • Kollegiengebäude Mathematik (20.30)

    Englerstraße 2

    D-76131 Karlsruhe

I’m a doctoral researcher under the supervision of Prof. Marlis Hochbruck within the project on Time integration of Maxwell and wave-type equations of the CRC “Wave phenomena: analysis and numerics”.

Research interests

Construction, analysis and implementation of domain decomposition methods for wave equations.

Publications

  • T. Buchholz and J. Dörner. A discrete Saint-Venant principle for finite element discretizations of elliptic problems. (submitted 04/2026) [preprint]
  • T. Buchholz and M. Hochbruck. A non-iterative domain decomposition time integrator combined with discontinuous Galerkin space discretizations for acoustic wave equations. To be published in Domain Decomposition Methods in Science and Engineering XXIX. (10/2025) [peprint]
  • T. Buchholz and M. Hochbruck. A non-iterative domain decomposition time integrator for linear wave equations. Math. Comp. Published online; to appear in print. (07/2025) [article, preprint]
  • T. Buchholz and M. Hochbruck. A non-iterative domain-decomposition integrator for the linear wave equation. In Waves 2024, Edmond, The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation. [proceedings]

Courses (Teaching assistant)

  • SS26            Functions of Matrices [Link to ILIAS]
  • WS25/26     Seminar (Numerik, Bachelor-Master)
  • SS25            Einführung in das Wissenschaftliche Rechnen
  • WS24/25     Numerische Methoden für Differentialgleichungen
  • SS24            Numerische Mathematik 2
  • WS23/24     Numerische Mathematik 1
  • SS23             Seminar Numerik von Differentialgleichungen
  • WS22/23     Numerische komplexe Analysis
  • SS22             Numerical methods for Maxwell's equations