Daniel Matthes

Daniel Matthes is a Professor of Dynamical Systems at the Technical University of Munich (TUM), affiliated with the TUM School of Computation, Information and Technology and the Department of Mathematics. His research focuses on the qualitative theory of partial differential equation solutions, with particular expertise in gradient flow systems and kinetic equations.

Matthes received his education at TU Berlin, where he completed his Diplom in Mathematics in 1999 and his PhD in 2003 with a thesis on Discrete Surfaces and Coordinate Systems: Approximation Theorems and Computation. He conducted postdoctoral research at the University of Mainz, the University of Pavia in Italy, and TU Vienna, before completing his Habilitation at TU Wien in 2010 with work on On the equilibration in certain kinetic and diffusion equations.

Professor Matthes' research interests span the mathematical analysis of partial differential equations, particularly focusing on gradient flow structures, kinetic models, and their applications. His work bridges theoretical mathematics with practical applications in areas such as mathematical physics and economic modeling. He has made significant contributions to understanding the qualitative behavior of solutions to nonlinear PDEs, with particular emphasis on convergence properties, equilibrium states, and numerical approximation methods. His methodology often combines rigorous analytical techniques with computational approaches to extract meaningful insights from complex mathematical structures.

His extensive publication record demonstrates a consistent focus on gradient flow systems, with recent work exploring discretization methods, convergence analysis, and applications to physical and economic models. Matthes has developed innovative numerical schemes for solving complex PDEs while maintaining important structural properties of the continuous equations, contributing significantly to both theoretical understanding and practical computational methods in the field.

As part of the Dynamical Systems group at TUM, Professor Matthes contributes to the department's research in mathematical analysis and its applications. His work intersects with several research areas within the Department of Mathematics, including numerical analysis, mathematical physics, and applied analysis. The group maintains active collaborations with researchers across Europe and participates in various interdisciplinary projects that apply advanced mathematical techniques to real-world problems.