Numerical Analysis
As Numerical Analysis and Scientific Computing group we work on numerical methods, mainly for partial differential equations. We are happy about your interest, feel free to contact us! Spokesperson: Tabea Tscherpel (SoSe 25)
On the research level we develop efficient and robust numerical schemes, for example by means of structure preservation. For such schemes we deal with convergence analysis and both a priori and a posteriori error estimates. In situations of uncertain data we investigate techniques for uncertainty quantification and data assimilation that can be incorporated in numerical schemes. Efficiency can be enhanced by model order reduction as well as adaptivity, both on the level of the model and on the level of the mesh.
Most partial differential equations we work on are coming from compressible fluid dynamics. Applications include for example gas networks, compressible Euler equations and non-Newtonian fluids. Also partial differential equations from other fields such as electrodynamics, geothermics, medicine and biology are considered.
On the other hand for teaching we offer a wide range of courses for students on various aspects of numerical approximation. Notably, we aim for a solid basic education that will be practical and useful for anyone. Building on that, we enjoy offering specialisation in areas with close connections to our research.
2025/05/20,
15:30-16:30
Fast solvers for high-order finite element discretizations of the de Rham complex
Vortrag im AG Numerik Seminar von Dr. Charles Parker, University of Oxford
Many applications in electromagnetism, magnetohydrodynamics, and pour media flow are well-posed in spaces from the 3D de Rham complex involving H1, H(curl), H(div), and L2. Discretizing these spaces…
2025/05/21,
17:15-19:00
Probabilistic Data Structures in Adversarial Environments
Mathematisches Kolloquium im Sommersemester 2025
Prof. Dr. Marc Fischlin, TU Darmstadt Data structures provide a mechanism to organize data, usually providing methods to insert, delete, and search elements. Probabilistic data structures such as s…
2025/05/28,
17:15-19:00
From inverse problems in PDEs to convex semidefinite optimization
Mathematisches Kolloquium im Sommersemester 2025
Prof. Dr. Bastian von Harrach-Sammet, Goethe Universität Frankfurt Medical diagnosis has been revolutionized by noninvasive imaging methods such as computerized tomography (CT) and magnetic re…
2025/06/03,
15:30-16:30
An Asymptotic Preserving Scheme for Pipe Networks
Vortrag im AG Numerik Seminar von Dr. PhD Michael Redle, RWTH Aachen
We consider the simulation of isentropic flow in pipelines and pipe networks. Standard operating conditions in pipe networks suggest an emphasis to simulate low Mach and high friction regimes –…
2025/06/11,
17:15-19:00
The effective mass of the Fröhlich polaron at strong coupling
Mathematisches Kolloquium im Sommersemester 2025
Dr. Morris Brooks, Universität Zürich In this talk we investigate the Fröhlich polaron in the strong coupling limit, which is a model describing the interactions of a charged particl…
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