Professor of Numerics of Singular ODEs and DAEs
The main research focus is on numerical methods for classes of ODEs and DAEs relevant for applications especially singular and stiff problems that arise when studying e.g. turbulent flows, reaction-diffusion systems, nonlinear optics models, and shallow water phenomena. The research concentrates on the error analysis and the design of reliable algorithms. The techniques also apply to certain types of PDEs, which under self-similar transformation reduce to ODEs with singularities. The group has expertise in the numerical analysis and simulation for ODEs, DAEs, and PDEs, collocation methods, error control, adaptivity, and software development.