Daniel Doehring
Research Interests
- Runge-Kutta Methods for Hyperbolic & Convection-Dominated PDEs:
- Multirate Methods
- Optimized Linear Stability
- Nonlinear Stability: Internal, Entropy, Strong-Stability Preservation
- Discontinuous Galerkin Methods: Developer of
Trixi.jl
Publications
-
D.D., H. Ranocha, M.Torrilhon:
Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration
Preprint on arXiv -
D.D., L. Christmann, M. Schlottke-Lakemper, G.J. Gassner, M.Torrilhon:
Fourth-Order Paired-Explicit Runge-Kutta Methods -
D.D., M. Schlottke-Lakemper, G.J. Gassner, M.Torrilhon:
Multirate Time-Integration based on Dynamic ODE Partitioning through Adaptively Refined Meshes for Compressible Fluid Dynamics -
D.D., G.J. Gassner, M.Torrilhon:
Many-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations -
J. Strake, D.D., A. Benigni:
MGRIT-Based Multi-Level Parallel-in-Time Electromagnetic Transient Simulation
Contribution as student research assistant
Talks
Conferences
2025
-
ICOSHAOM 2025. 13. - 18. July, Montreal, CA.
1) Fourth-Order Paired-Explicit Runge-Kutta Methods
2) Entropy-Stable Multirate Time-Integration through Paired-Explicit Relaxation Runge-Kutta Methods -
SIAM CSE 2025. 02. - 07. March, Fort Worth, USA.
Stabilized High-Order Multirate Time-Integration for Multiphysics via Paired-Explicit Runge-Kutta Methods
2024
-
WCCM & PANACM 2024. 21. - 26. July, Vancouver, CA.
Multirate Time-Integration based on Dynamic ODE Partitioning through Adaptively Refined Meshes for Convection-Dominated Flows -
JuliaCon 2024. 09. - 13. July, Eindhoven, NL.
Towards Aerodynamic Simulations in Julia with Trixi.jl -
PDESoft 2024. 01. - 03. July, Cambridge, UK.
Non-intrusive multirate time-integration for high-order accurate compressible fluid dynamics with Trixi.jl
Invited Talks
- 2025/09/12 DLR Cologne: Institute of Software Technology. Slides:
- 2024/05/15: University of Kassel: Analysis and Applied Mathematics: Numerics of Partial Differential Equations (Group of Andreas Meister). Slides:
About me
02/2023 - now: PhD/Graduate Student at ACoM
09/2021 - 02/2022: Exchange Semester, ETH Zurich
04/2021 - 12/2022: Master Studies Computational Engineering Science, RWTH Aachen.
01/2019 - 05/2019: Exchange Semester, University of Pennsylvania
10/2016 - 03/2021: Bachelor Studies Computational Engineering Science, RWTH Aachen.
Teaching
- Math 4 for Computational Engineering Science (Summer term 2025)
- Math 2 for Computational Engineering Science (Summer term 2024)
- Math 4 for Computational Engineering Science (Summer term 2023)