Research outline
My all-time career field is numererical analysis, which has two parts (a) derivation of a numerical scheme (b) mathematical justification/analysis of this scheme which can be investigation on stability,
convergence, and error control. I specialise on various discretisation schemes on partial differential equations (Hyperbolic/Elliptic/Parabolic). I also work on hard macroscopic modelling of biological
processes using ordinary and partial differential equations. A summary of my current pursuits are as follows.
- Multiphase flow models for wound healing and avascular tumour growth problems.
- Scientific computing and error analysis for spatially fourth order parabolic problems.
- Convergence analysis of tumour growth models with time dependent boundary in higher dimensions.