Thomas Izgin

Thomas Izgin is a researcher at the Institute of Mathematics, University of Kassel. He specializes in numerical analysis, focusing on the development and stability analysis of time integration schemes for differential equations. His work includes contributions to Modified Patankar-Runge-Kutta (MPRK) methods, positivity-preserving algorithms, and symbolic computation techniques like Pommaret bases for involutive Gröbner bases.

• Teaching: Courses on numerical methods for PDEs, ordinary differential equations, and mathematical modeling across multiple semesters, including block seminars on positivity-preserving integrators.
• Research: Investigates stability, convergence, and error analysis of numerical schemes, with applications to hyperbolic conservation laws, production-destruction systems, and biomathematics. Also contributes to computational physics through atomistic-continuum modeling of nanoparticle synthesis.