Current List of Courses
| Semester | Titel | Typ |
|---|---|---|
| Winter Semester 2017/18 | Exponential Integrators | Lecture |
| Winter Semester 2016/17 | Numerical Methods for Maxwell's Equations | Lecture |
| Summer Semester 2015 | Höhere Mathematik II für die Fachrichtung Bauingenieurwesen: Integralrechnung und Funktionen mehrerer Veränderlicher | Lecture |
| Winter Semester 2014/15 | Höhere Mathematik I für die Fachrichtung Bauingenieurwesen | Lecture |
Research interests
- Time integration of PDEs
- Maxwell and wave-type equations
- Locally implicit schemes
- Leap-frog-type schemes
- Discontinuous Galerkin methods
Conferences and Workshops
- Numerical Analysis of Evolution Equations, Innsbruck, Austria, 14.10.14 - 17.10.14
- Waves 2015, Karlsruhe, Germany, 20.07.15 - 24.07.15 (Best Student Presentation Prize)
- SciCADE 2015, Potsdam, Germany, 14.09.15 - 18.09.15
- Numerical Analysis of Evolution Equations, Innsbruck, Austria, 08.11.16 - 11.11.16
- Waves 2017, Minneapolis, USA, 15.05.17 - 19.05.17
- SciCADE 2017, Bath, England, 11.09.17 - 15.09.17 (Runner Up New Talent Award)
- ENUMATH 2017, Voss, Norway, 25.09.17 - 29.09.17
- 2nd International Conference on Simulation Technology, Stuttgart, Germany, 26.03.18 - 28.03.18
- SIAM Annual Meeting, Portland, USA, 09.07.18 - 13.07.18
- Conference on Mathematics of Wave Phenomena, Karlsruhe, Germany, 23.07.18 - 27.07.18
Summer Schools
- Computational Electromagnetism, Cetraro, Italy, 09.06.14 - 14.06.14
- Advanced numerical methods for non-local operators, Zurich, Switzerland, 18.08.14 - 22.08.14
- Current Research in Finite Element Methods, Mumbai, India, 06.07.15 - 17.07.15
- Computational Acoustics, Udine, Italy, 23.05.16 - 27.05.16
- Wave phenomena: analysis and numerics, Karlsruhe, Germany, 12.09.16 - 16.09.16
Publications
M. Hochbruck, A. Sturm,
Error Analysis of a Second-Order Locally Implicit Method for Linear Maxwell's Equations,
SIAM Journal on Numerical Analysis, 2016,
Paper, Preprint
M. Hochbruck, A. Sturm,
Upwind discontinuous Galerkin space discretization and locally implicit time integration for linear Maxwell's equations,
Mathematics of Computation, 2018,
Paper, Preprint
A. Sturm,
Locally Implicit Time Integration for Linear Maxwell's Equations,
PhD Thesis, 2017,
PhD Thesis
M. Hochbruck, A. Sturm,
On leap-frog-Chebyshev schemes,
Preprint, 2018,
Preprint