Team/People

Research Interests

• Runge-Kutta Methods for Hyperbolic PDEs: Optimized Stability, Multirate, Local-Time-Stepping, Internal Stability, Strong Stability Preservation
• Discontinuous Galerkin Methods: Developer of Trixi.jl

Publications

• D.D., L. Christmann, M. Schlottke-Lakemper, G.J. Gassner, M.Torrilhon:
  Fourth Order Paired-Explicit Runge-Kutta Methods
  Early Stage Preprint

• 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

• JuliaCon 2024. 9th to 13th 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

• 2024/15/05: Invited Talk at the University of Kassel: Analysis and Applied Mathematics: Numerics of Partial Differential Equations (Group of Andreas Meister)
  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 at ETH Zurich
04/2021 - 12/2022: Master Studies Computational Engineering Science, RWTH Aachen. Focus: Mathematics
01/2019 - 05/2019: Exchange Semester at University of Pennsylvania
10/2016 - 03/2021: Bachelor Studies Computational Engineering Science, RWTH Aachen. Focus: Flow & Combustion

Teaching

• Math 4 for Computational Engineering Science (Summer term 2023)
• Math 2 for Computational Engineering Science (Summer term 2024)