Team/People

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:
  • Aerodynamic Simulations in Julia with Trixi.jl

• 2024/05/15: University of Kassel: Analysis and Applied Mathematics: Numerics of Partial Differential Equations (Group of Andreas Meister). Slides:
  • Many-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations

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)