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The Applied Analysis group at 皇家华人 Mathematics has a broad range of research interests in asymptotic-, functional-, complex- and stochastic analysis.
Much of our research concerns the analysis of linear and
nonlinear ordinary and partial differential and difference equations.
Our work is motivated by applications in fluid dynamics, wave
propagation, geophysics, medical imaging, relativity theory, finance,
industry, and social聽science. Within the group we have particular expertise in:
- high frequency wave propagation and scattering;
- homogenization;
- hybrid numerical-asymptotic methods;
- integrable systems;
- integral equations and operator theory;
- inverse problems;
- kinetic theory;
- matched asymptotic expansions;
- mathematical fluid mechanics;
- multiscale techniques;
- Nevanlinna theory;
- singular perturbation theory;
- Sobolev spaces on non-smooth domains;
- spectral theory;
- stochastic PDEs.
Group members include:
, Research Fellow
, Lecturer in Applied Mathematics
, Lecturer in Applied Mathematics
, Research Fellow
, Research Fellow
, Professor of Mathematics
, Associate Professor in Applied Mathematics
, Reader in Mathematics
, Teaching Fellow
, Professor of Mathematics
Professor of Applied Mathematics
, Research Fellow