School of Mathematics and Natural Sciences

Mr Dr. Marcel Schweitzer


Position Description

I am a lecturer in the "Scientific Computing and High Performance Computing" group. I am responsible for teaching "Software Engineering" and the corresponding practical course for Bachelor students. Additionally, I occassionally teach specialized Master courses on topics in applied mathematics and graph theory. My main research area is numerical linear algebra.

Office hour

Wednesday, 13:00-14:00 (during teaching term, otherwise only by arrangement)

Research interests

  • Approximation of matrix functions
  • Krylov subspace methods, in particular restarted methods
  • Fréchet derivatives and condition numbers of matrix functions
  • Exploiting low-rank structures in numerical computations
  • Decay behavior in matrix functions
  • Randomized numerical linear algebra
  • Applications of numerical linear algebra techniques in network analysis
  • Implicit/matrix-free trace estimation algorithms

List of publications


Teaching in summer semester 2024:

Link to all of my courses and supervised theses


Software related to my research:

  • laplace_restarting: Implementation of a restarted Arnoldi method for Laplace transforms and Bernstein functions (MATLAB)
  • t-frechet: Toolbox for computing t-functions (and their Fréchet derivatives) of third-order tensors (MATLAB)
  • sketched_fAb: Randomized Krylov methods for the approximation of matrix functions (MATLAB)
  • FUNM_QUAD: An implementation of a stable quadrature-based restarted Arnoldi method for matrix functions (MATLAB)

Software developed by students:

  • VSWorkbench: Extensible VS Code Plugin for incorporating Developer Tools (Bachelor thesis Sufyan Dahalan)

Communications in NLA

To allow young researchers in numerical linear algebra to also present their work during the Covid-19 pandemic, I organized the online seminar series "Communications in NLA" from September 2020 to May 2021, together with a few colleagues.

All talks have been recorded and can be watched on our Youtube channel.

Membership in editorial boards

I am a managing editor of Electronic Transactions on Numerical Analysis (ETNA)


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