Christian Döding

Dr. Christian Döding is a Research Fellow at the Institute for Numerical Simulation, University of Bonn, since 2023. Previously, he held a postdoctoral position at Ruhr University Bochum (2021-2023). His research focuses on numerical analysis of partial differential equations and applied dynamical systems, with applications in quantum physics and superconductivity.

Education

• PhD in Mathematics, Bielefeld University, 2019 (Supervisor: Wolf-Jürgen Beyn)
• M.Sc. in Mathematics, Bielefeld University, 2015
• B.Sc. in Mathematics and Physics, Bielefeld University, 2013

Research Interests

His expertise spans multiscale finite element methods, structure-preserving time integration, and convergence analysis for nonlinear PDEs. He specializes in numerical solutions for nonlinear Schrödinger equations, Gross-Pitaevskii equations, and Ginzburg-Landau equations, with direct applications to Bose-Einstein condensates and superconductivity. His work also addresses stability analysis, pattern dynamics, and computational methods for nonlinear waves in evolution equations.

Publication Trends

Recent publications (2022-2025) demonstrate concentrated research on multiscale numerical techniques for quantum physics PDEs. Key themes include homogenization of wave propagation in time-varying media, vortex-capturing algorithms for superconductivity models, and energy-conserving integrators for rotating quantum systems. His methodology consistently emphasizes error estimation, stability analysis, and structure preservation, frequently utilizing localized orthogonal decomposition frameworks.

Research Environment

Dr. Döding is embedded in the research group at the Institute for Numerical Simulation (University of Bonn), which maintains active collaborations in computational mathematics and scientific computing, particularly in physics-driven PDE applications.