Dr. Christian Döding
Research Associate (Postdoc)

Ruhr University Bochum
Faculty of Mathematics
Universitätsstraße 150
D-44801 Bochum


Office: IB 3/127
Phone: +49 (0) 234 / 32 - 19876
Email: christian.doeding@rub.de
Office hour: by appointment



Research

My research interest includes the numerical analysis of partial differential equations and applied dynamical systems. In particular, I am interested in:

  • Numerical methods for partial differential equations
    • Nonlinear Schrödinger equations
    • Structure-preserving time integration
    • Finite element methods
    • Eigenvalue problems
  • Analysis of nonlinear waves in evolution equations
    • Dynamics of patterns
    • Stability and existence of nonlinear waves
    • Spectral analysis
    • Numerical computation of nonlinear waves

Publications

  • C. Döding, P. Henning and J. Wärnegård
    A two level approach for simulating Bose-Einstein condensates by localized orthogonal decomposition
    ArXiv e-print 2212.07392 (preprint), 2022.

  • C. Döding and P. Henning
    Uniform L∞-bounds for energy-conserving higher-order time integrators for the Gross-Pitaevskii equation with rotation
    ArXiv e-print 2210.01553 (to appear in IMA J. Numer. Anal.), 2023.

  • W.-J. Beyn and C. Döding
    Stability of Traveling Oscillating Fronts in Complex Ginzburg Landau Equations
    SIAM J. Math. Anal., 54(5):5447–5488, 2022. doi: 10.1137/21M1455760.
    ArXiv e-print 2110.12953

Thesis

  • C. Döding
    Stability of Traveling Oscillating Fronts in Parabolic Evolution Equations
    Dissertation (PhD thesis), Bielefeld University, 2019, doi: https://doi.org/10.4119/unibi/2936703.

  • C. Döding
    Numerische Lösung parabolischer Gleichungen mit quadraturbasierten Integratoren
    Master thesis (PDF), Bielefeld University, 2015.

Short CV

2023-

Research Associate (Postdoc)
University of Bonn, Institute for Numerical Simulation

2021-2023

Research Associate (Postdoc)
Ruhr University Bochum

2019-2021

Nonacademic Employment (Consultant/Software-Developer)
Syskoplan Reply GmbH

2019

Doctorate
Bielefeld University, Supervisor: Wolf-Jürgen Beyn

2015-2019

Research Associate (PhD-student)
Bielefeld University

2013-2015

Study of Mathematics (M.Sc.)
Bielefeld University

2013-2015

Student Assistant
Bielefeld University, CRC 701: Spectral Structures and Topological Methods in Mathematics

2010-2013

Study of Mathematics and Physics (B.Sc.)
Bielefeld University