Eskil Hansen

Professor

Research areas and keywords

UKÄ subject classification

  • Computational Mathematics

Keywords

  • Numerical analysis, Partial Differential Equations

Research

The goal of my groups current research is to design and analyze state-of-the-art numerical schemes for partial differential equations (PDEs) that can be cast into the frameworks of nonlinear evolution equations, e.g., the semigroup approach. Such PDEs include degenerate parabolic systems, damped wave equations, infinite dimensional Riccati systems and nonlinear Schrödinger equations.

These PDEs commonly occur in engineering and medical applications, and there is a large demand for highly efficient numerics tailored to the specific applications. Due to the sheer size of these equation systems, the usage of direct approximation methods is not feasible and one needs to partition or split the problem. Schemes based on this splitting strategy often constitute a very competitive method choice, but a thorough understanding of the schemes' convergence behaviors and geometric properties is essential in order to put them to proper use.

Recent research outputs

Eisenmann, M. & Eskil Hansen, 2019 Feb 27, (Submitted) In : Mathematics of Computation.

Research output: Contribution to journalArticle

Eisenmann, M. & Eskil Hansen, 2018 Dec, In : Numerische Mathematik. 140, 4, p. 913-938

Research output: Contribution to journalArticle

Eskil Hansen & Henningsson, E., 2017, In : IMA Journal of Numerical Analysis. 37, 3, p. 1496-1519 24 p.

Research output: Contribution to journalArticle

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