My research covers subjects in numerical analysis for partial differential equations and numerical linear algebra, with a focus on the numerical solution of symmetric and nonsymmetric eigenvalue problems, adaptive finite element methods, a priori and a posteriori error analysis for PDEs including discretization and approximation errors.
My current research is concerned with iterative solvers for challenging large scale linear systems and linear and nonlinear eigenvalue problems, approximation of matrices, data analysis, machine learning, model reduction techniques and stability analysis of dynamical systems. I conduct research in a range from theoretical investigations for problems motivated by engineering applications through to developing advanced computational methods of practical industrial relevance.