Hans Munthe-KaasView profile
Professor
Hans Munthe-Kaas is a Professor of Mathematics at the University of Bergen, where he is also the Center Manager of the Lie-Størmer Center. He serves as Editor-in-Chief of Foundations of Computational Mathematics and President of the Norwegian Mathematical Society. Additionally, he is a member of the scientific advisory committee for the Trond Mohn Foundation and project leader for the RCN-Fripro project CODYSMA. His research focuses on computational mathematics, particularly geometric integration, Lie theory, differential geometry, algebra and combinatorics. Munthe-Kaas investigates algebras of connections on manifolds, combinatorics for formal solutions of dynamical systems, and structure-preserving discretizations. His work bridges pure and applied mathematics with computer science, with an emphasis on mathematical abstractions in computational science as tools for constructing efficient algorithms. Analysis of numerical Lie group integrators has led him to develop Lie-Butcher theory, which combines classical B-series for integration schemes with Lie series. This research connects to control theory, stochastic differential equations, renormalization, combinatorial Hopf algebra theory, and non-commutative symmetric functions. His publications show a consistent focus on geometric integration methods, with recent work exploring post-Lie algebras, aromatic B-series, and integration on symmetric spaces. Esso prize in 1999 for PhD work Munthe-Kaas has led significant research projects including the Lie-Størmer Center and CODYSMA. His work in computational mathematics has applications in numerical linear algebra, parallel algorithms, and fast elliptic solvers. He has also contributed to multivariate Chebyshev polynomials for spectral element methods based on triangular and simplicial domains. He is active in research groups including Applied and Computational Algebra and has been instrumental in developing coordinate-free formulations for numerical algorithm design through projects like SOPHUS. His DiffMan Matlab toolbox implements these ideas for solving differential equations on manifolds.



