Research outline
I focus on numerical analysis and mathematical modelling. A brief list of topics on interest are presented below.
- Mathematical modeling using multi-phase mixture theory and non-linear elasticity theory of complex biological problems.
- Scientific computing using appropriate combinations of finite element and finite volume methods.
- Design and numerical analysis of finite element and finite volume schemes.
- Convergence analysis, existence and uniqueness type reulsts.
Theses
- PhD Thesis: Modelling and numerical analysis of complex tumour models, Advisors: Jerome Droniou (Monash University), Jennifer Flegg (University of Melbourne), and Neela Nataraj (IIT Bombay).
- Masters Thesis: A theoretical and numerical study of stochastic delay integro differential equations, Advisor: M P Rajan (IISER Thiruvananthapuram).