Dr Georg Maierhofer
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Symmetric resonance based integrators and forest formulae. Alama Bronsard, Y., Bruned, Y., Maierhofer, G., Schratz, K., preprint, https://arxiv.org/pdf/2305.16737.pdf
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
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
- 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)