Staff Dr. Christian Döding
Contact Information
Address:
Institut für Numerische Simulation
Friedrich-Hirzebruch-Allee 7
53115 Bonn
Friedrich-Hirzebruch-Allee 7
53115 Bonn
Phone:
+49 228 73-69745
Office:
FHA7 1.039
E-Mail:
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Research interest
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
- (multiscale) finite element methods
- structure-preserving time integration
- nonlinear minimization problems
- convergence analysis and a-priori error estimates
- nonlinear Schrödinger equations, Gross-Pitaevskii equations, Ginzburg-Landau equations
- application to quantum physics: Bose-Einstein condensates and superconductivity
Analysis of nonlinear waves in evolution equations
- dynamics of patterns
- stability, existence and numerical computation of nonlinear waves
Short CV
- since 2023: Postdoc at University of Bonn, Institute for Numerical Simulation
- 2021-2023: Postdoc at Ruhr University Bochum, Department of Mathematics
- 2019-2021: Nonacademic Employment at Syskoplan Reply GmbH
- 2019: Doctorate at Bielefeld University, Supervisor: Wolf-Jürgen Beyn
- 2015-2019: PhD-student, Bielefeld University
- 2013-2015: Study of Mathematics (M.Sc.), Bielefeld University
- 2013-2015: Student Assistant, Bielefeld University, SFB 701
- 2010-2013: Study of Mathematics and Physics (B.Sc.), Bielefeld University
Publications
Preprints
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Journal articles
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Proceedings articles
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Localized orthogonal decomposition methods vs. classical FEM for the Gross-Pitaevskii equation.
C. Döding.
In A. Sequeira, A. Silvestre, S. S. Valtchev, and J. Janela, editors, Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1, Lect. Notes Comput. Sci. Eng., 268–277. Springer Nature Switzerland, 2025.
BibTeX
DOI
arXiv
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Thesis
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Localized orthogonal decomposition methods vs. classical FEM for the Gross-Pitaevskii equation. C. Döding. In A. Sequeira, A. Silvestre, S. S. Valtchev, and J. Janela, editors, Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1, Lect. Notes Comput. Sci. Eng., 268–277. Springer Nature Switzerland, 2025. BibTeX DOI arXiv