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GeorgMaierhofer

Dr Georg Maierhofer

PhD, MA, MMath, BA
Pronouns
He / Him
Status
Research Fellow
+44 1865 280618
Contact form
https://www.damtp.cam.ac.uk/user/gam37/
ORCID iD
https://orcid.org/0000-0002-9764-8596
Research groups
  • Numerical Analysis
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Major / recent publications

G-Adaptive mesh refinement - leveraging graph neural networks and differentiable finite element solvers. Rowbottom, J., Maierhofer, G., Deveney, T., Schratz, K., Lio, P., Schönlieb, C.-B., Budd, C., preprint, https://arxiv.org/pdf/2407.04516

A fast neural hybrid Newton solver adapted to implicit methods for nonlinear dynamics. Jin, T., Maierhofer, G., Schratz, K., Xiang, Y., preprint, https://arxiv.org/pdf/2407.03945

Numerical integration of Schrödinger maps via the Hasimoto transform. Banica, V., Maierhofer, G., Schratz, K., SIAM J. Numer. Anal. (2024), https://doi.org/10.1137/22M1531555

Long-time error bounds of low-regularity integrators for nonlinear Schrödinger equations. Feng, Y., Maierhofer, G., Schratz, K., Mathematics of Computation (2023), https://doi.org/10.1090/mcom/3922

Recursive moment computation in Filon methods and application to high-frequency wave scattering in two dimensions. Maierhofer, G., Iserles, A., Peake, N., IMA J. Numer. Anal. (2023), https://doi.org/10.1093/imanum/drac067

Convergence analysis of oversampled collocation boundary element methods in 2D. Maierhofer, G., Huybrechs, D., Adv. Comput. Math. (2022), https://doi.org/10.1007/s10444-022-09924-8

Research interests

My main research interests focus on problems in computational mathematics for partial differential equations (PDEs) and the study of waves. In more detail I have worked on the following topics:

  • Numerical methods for dispersive nonlinear PDEs
  • Geometric numerical integration
  • Machine learning methods for PDEs
  • Approximation theory and frames
  • Wiener-Hopf method and applications
Prizes, awards, and scholarships
  • Henslow Research Fellowship, Clare Hall, University of Cambridge (2023-present)
  • Marie Skłodowska-Curie Fellowship, Laboratoire Jacques-Louis Lions, Sorbonne Université (2022-23)
  • Smith-Knight & Rayleigh-Knight Prize, Faculty of Mathematics, University of Cambridge (2019)
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London Mathematical Society Good Practice Scheme Athena SWAN Silver Award (ECU Gender Charter) Stonewall Silver Employer 2022

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