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Mathematics Münster

C: Models and Approximations

C4: Geometry-based modelling, approximation, and reduction
Current PublicationsLandstorfer M, Ohlberger M, Rave S, Tacke M A Modeling Framework for Efficient Reduced Order Simulations of Parametrized Lithium-Ion Battery Cells. European Journal of Applied Mathematics Vol. 34 (3), 2023 online
Keil Tim, Rave Stephan An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition. SIAM Journal on Scientific Computing Vol. 45 (4), 2023 online
Gander Martin, Rave Stephan Localized Reduced Basis Additive Schwarz Methods. Domain Decomposition Methods in Science and Engineering XXVI, 2022 online
Kleikamp Hendrik, Ohlberger Mario, Rave Stephan Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain. MATHMOD 2022 - Discussion Contribution VolumeARGESIM ReportArXiv Vol. 17, 2022 online
Benner, P.; Burger, M.; Göddeke, D.; Himpe, C.; Hintermüller, M.; Heiland, J.; Koprucki, T.; Ohlberger, M.; Rave, S.; Reidelbach, M.; Saak, J.; Schöbel, A.; Tabelow, K. Die Mathematische Forschungsdateninitiative in der NFDI: MaRDI (Mathematical Research Data Initiative). GAMM Rundbrief Vol. 1/2022, 2022 online
Fritze, René; Rave, Stephan Specification and Validation of Numerical Algorithms with the Gradual Contracts Pattern. Testing Software and SystemsLecture Notes in Computer Science, 2022 online
Buhr Andreas, Iapichino Laura, Ohlberger Mario, Rave Stephan, Schindler Felix, Smetana Kathrin Localized model reduction for parameterized problems. Model Order Reduction: Volume 2 Snapshot-Based Methods and Algorithms, 2021, pp 245 - 306 online
Fehr J, Himpe C, Rave S, Saak J Sustainable Research Software Hand-Over. Journal of Open Research Software Vol. 9 (1), 2021 online
Leibner T, Matis M, Ohlberger M, Rave S Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD. arXiv [math.NA] Vol. 2111.00129, 2021 online
Current ProjectsMathematical Research Data Initiative - TA2: Scientific Computing Driven by the needs and requirements of mathematical research as well as scientific disciplines using mathematics, the NFDI-consortium MaRDI (Mathematical Research Data Initiative) will develop and establish standards and services for mathematical research data. Mathematical research data ranges from databases of special functions and mathematical objects, aspects of scientific computing such as models and algorithms to statistical analysis of data with uncertainties. It is also widely used in other scientific disciplines due to the cross-disciplinary nature of mathematical methods. online
EXC 2044 - C4: Geometry-based modelling, approximation, and reduction In mathematical modelling and its application to the sciences, the notion of geometry enters in multiple related but different flavours: the geometry of the underlying space (in which e.g. data may be given), the geometry of patterns (as observed in experiments or solutions of corresponding mathematical models), or the geometry of domains (on which PDEs and their approximations act). We will develop analytical and numerical tools to understand, utilise and control geometry, also touching upon dynamically changing geometries and structural connections between different mathematical concepts, such as PDE solution manifolds, analysis of pattern formation, and geometry. online
Phone+49 251 83-35061
FAX+49 251 83-32729
Secretary   Sekretariat Wernke
Frau Silvia Wernke
Telefon +49 251 83-35052
Fax +49 251 83-32729
Zimmer 120.001
AddressDr. Stephan Rave
Angewandte Mathematik Münster: Institut für Analysis und Numerik
Fachbereich Mathematik und Informatik der Universität Münster
Orléans-Ring 10
48149 Münster
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