Numerische Mathematik

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
  An efficient two level approach for simulating Bose-Einstein condensates
  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 (preprint), 2022.

• 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