Dr. Stephan Rave
Akademischer Rat
Arbeitsgruppe Numerische Analysis und Wissenschaftliches RechnenTel: +49 251 83 35061
Fax: +49 251 83 32729
stephan.rave@uni-muenster.de
Fax: +49 251 83 32729
stephan.rave@uni-muenster.de
Forschungsschwerpunkte
- Modellreduktion
- Reduzierte-Basis-Verfahren
- Numerische Mehrskalenverfahren und Gebietszerlegungsmethoden
- Nichtlineare Approximation advektionsdominierter PDEs
- Kommunikationsvermeidende Algorithmen zur verteilten Niedrigrang-Approximation
- Research Software Engineering
Projekte
- MaRDI - Mathematische Forschungsdateninitiative ( - )
Teilprojekt in DFG-Verbund koordiniert außerhalb WWU: DFG - Nationale Forschungsdateninfrastruktur | Förderkennzeichen: NFDI 29 /1 - EXC 2044 - C4: Geometry-based modelling, approximation, and reduction ( - )
Teilprojekt in DFG-Verbund koordiniert an WWU: DFG - Exzellenzcluster | Förderkennzeichen: EXC 2044/1 - pyMOR - pyMOR - Nachhaltige Software zur Modell-Ordnungs-Reduktion ( - )
Gefördertes Einzelprojekt: DFG - Wissenschaftliche Literaturversorgung und Informationssysteme | Förderkennzeichen: RA 3055/1-1 - MALLi2 - Modellbasierte Abschätzung der Lebensdauer von gealterten Li-Batterien für die 2nd Life Anwendung als stationärer Stromspeicher ( - )
Beteiligung in einem BMBF-Verbund: Bundesministerium für Bildung und Forschung | Förderkennzeichen: 05M18PMA - SFB 878 C02 - Die Feinstruktur nuklearer C*-Algebren ( - )
Teilprojekt in DFG-Verbund koordiniert an WWU: DFG - Sonderforschungsbereich - MULTIBAT - Verbundprojekt 05M2013 - MULTIBAT: Multiskalenmodelle und Modellreduktionsverfahren zur Vorhersage der Lebensdauer von Lithium-Ionen-Batterien - Teilprojekt 1 ( - )
Beteiligung in einem BMBF-Verbund: Bundesministerium für Bildung und Forschung | Förderkennzeichen: 05M13PMA
- MaRDI - Mathematische Forschungsdateninitiative ( - )
Publikationen
- . . ‘Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain.’ ArXiv 2203.05833. [Akzeptiert]
- . . ‘Sustainable Research Software Hand-Over.’ Journal of Open Research Software 9, Nr. 1. doi: 10.5334/jors.307/.
- . . Localized Reduced Basis Additive Schwarz Methods. [Eingereicht]
- . . ‘A Modeling Framework for Efficient Reduced Order Simulations of Parametrized Lithium-Ion Battery Cells.’ arXiv eprint 2021. [Eingereicht]
- . . ‘Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD.’ arXiv [math.NA] 2111.00129. [Eingereicht]
- . . ‘Localized model reduction for parameterized problems.’ In Model Order Reduction: Volume 2 Snapshot-Based Methods and Algorithms, edited by , 245 - 306. doi: 10.1515/9783110671490-006.
- . . ‘An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition.’ arXiv 2021. [Eingereicht]
- . . ‘Parametric model order reduction using pyMOR.’ Contributed to the MODRED 2019, Graz. [Akzeptiert]
- . . ‘A Non-stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction.’ Contributed to the ENUMATH 2019, Graz. [Akzeptiert]
- . . ‘Model order reduction framework for problems with moving discontinuities.’ Contributed to the Proceedings of ENUMATH 2019, Egmond aan Zee. [Im Druck]
- . . ‘PSD-Greedy Basis Generation for Structure-Preserving Model Order Reduction of Hamiltonian Systems.’ Contributed to the ALGORITMY 2020, Vysoké Tatry.
- . . ‘An environment for sustainable research software in Germany and beyond: current state, open challenges, and call for action.’ F1000Research 9, Nr. 295. doi: 10.12688/f1000research.23224.1.
- . . ‘Mass Conservative Reduced Order Modeling of a Free Boundary Osmotic Cell Swelling Problem.’ Advances in Computational Mathematics 45, Nr. 5: 2215-2239. doi: 10.1007/s10444-019-09691-z.
- . . ‘MULTIBAT: Unified workflow for fast electrochemical 3D simulations of lithium-ion cells combining virtual stochastic microstructures, electrochemical degradation models and model order reduction.’ Journal of Computational Science 31: 172-184. doi: 10.1016/j.jocs.2018.03.006.
- . . ‘Advances in Model Order Reduction for Large Scale or Multi-Scale Problems.’ Oberwolfach Reports 16, Nr. 3: 2510-2512. doi: 10.4171/OWR/2019/40.
- . . ‘System-theoretic model order reduction with pyMOR.’ PAMM 19. doi: 10.1002/pamm.201900459.
- . . ‘A locally conservative reduced flux reconstruction for elliptic problems.’ In Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), edited by .: Wiley. doi: 10.1002/pamm.201900026.
- . „HAPOD - Fast, Simple and Reliable Distributed POD Computation.“ contributed to the MATHMOD 2018- 9th Vienna International Conference on Mathematical Modelling, Vienna, . doi: 10.11128/arep.55.a55283.
- . . ‘Hierarchical Approximate Proper Orthogonal Decomposition.’ SIAM J. Sci. Comput. 40, Nr. 5: A3267-A3292.
- . . ‘Model reduction for parameterized systems and inverse problems.’ Oberwolfach Reports 2018, Nr. 39: 2454-2457. doi: 10.4171/OWR/2018/39.
- . . ‘Fast Low-Rank Empirical Cross Gramians.’ PAMM 17, Nr. 1: 841-842. doi: 10.1002/pamm.201710388.
- . . ‘ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications.’ SIAM J. Sci. Comput. 39, Nr. 4: A1435–A1465. doi: 10.1137/15M1054213.
- . . ‘True Error Control for the Localized Reduced Basis Method for Parabolic Problems.’ In Model Reduction of Parametrized Systems, edited by , 169-182. Cham: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_11.
- . . ‘ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics.’ In Model Reduction of Parametrized Systems, edited by , 137-148. Cham: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_9.
- . . ‘Localized Reduced Basis Approximation of a Nonlinear Finite Volume Battery Model with Resolved Electrode Geometry.’ In Model Reduction of Parametrized Systems, edited by , 201-212. Cham: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_13.
- . . ‘Reduced Basis Methods: Success, Limitations and Future Challenges.’ In roceedings of ALGORITMY 2016, 20th Conference on Scientific Computing, Vysoke Tatry, Podbanske, Slovakia, March 13-18, 2016, edited by , 1-12. Bratislava: Publishing House of Slovak University of Technology in Bratislava.
- . . ‘pyMOR - Generic algorithms and interfaces for model order reduction.’ SIAM Journal on Scientific Computing 38, Nr. 5: 194-216. doi: 10.1137/15M1026614.
- . . ‘Adaptive Localized Model Reduction.’ Oberwolfach Reports 13, Nr. 3: 2406-2409. doi: 10.4171/OWR/2016/42.
- . . ‘Model Reduction for Multiscale Lithium-Ion Battery Simulation.’ In Numerical Mathematics and Advanced Applications ENUMATH 2015, edited by , 317-331.: Springer. doi: 10.1007/978-3-319-39929-4_31.
- . . ‘A Model Reduction Framework for Efficient Simulation of Li-Ion Batteries.’ In Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems, edited by , 695-702.: Springer. doi: 10.1007/978-3-319-05591-6_69.
- . . ‘A Numerically Stable A Posteriori Error Estimator for Reduced Basis Approximations of Elliptic Equations.’ In 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014, edited by , 4094-4102.: CIMNE, Barcelona.
- . . ‘Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing.’ C. R. Acad. Sci. Paris, Ser. I 351: 901-906. doi: 10.1016/j.crma.2013.10.028.
- . . On Finitely Summable K-Homology Dissertation, Universität Münster.
- . . Über die Entscheidbarkeit gewisser Prädikate in der Theorie der C*-Algebren. Münster.
Vorträge
2021-
A Knowledge Graph of Numerical Algorithms (talk)
DMV-ÖMG Jahrestagung – September 2021 -
Model Order Reduction of Large-Scale Systems (talk)
IANS Seminar, University of Stuttgart – June 2021
2020-
Adaptive Reduced Basis Domain Decomposition Methods (talk)
DD26 - 26th International Domain Decomposition Conference – December 2020
2019-
Adaptive Localized Reduced Basis Methods (talk)
ENUMATH 2019 - European Numerical Mathematics and Advanced Applications Conference – October 2019 -
Reduced Order Modeling of a Free Boundary Osmotic Cell Swelling Problem with Mass Conservation (talk)
ENUMATH 2019 - European Numerical Mathematics and Advanced Applications Conference – October 2019 -
Localized Reduced Basis Domain Decomposition Methods (talk)
Swiss Numerics Day 2019 – April 2019 -
POD-DEIM Model Order Reduction for Large Nonlinear Problems (talk)
Séminaire d'analyse numérique, Université de Genève – April 2019 -
Model Order Reduction for the Masses (talk)
GAMM Jahrestagung – February 2019 -
POD Model Reduction at Large Scale (talk)
Kolloquium über Angewandte Mathematik, University of Göttingen – January 2019
2018-
Efficient Reduced Order Simulation of Pore-Scale Lithium-Ion Battery Models (talk)
ECMI 2018 - 20th European Conference on Mathematics for Industry – June 2018 -
Online-Adaptive Localized Reduced Basis Approximation of Parameterized Parabolic Problems (talk)
MORCOS 2018 - IUTAM Symposium on Model Order Reduction of Coupled Systems – May 2018 -
A Globally Mass Conservative Nonlinear Reduced Basis Method for Parabolic Free Boundary Problems (talk)
MoRePaS 2018 - Model Reduction of Parametrized Systems IV – April 2018 -
Hierarchical Approximate Proper Orthogonal Decomposition (talk)
CSC Seminar, MPI Magdeburg – March 2018 -
HAPOD - Fast, Simple and Reliable Distributed POD Computation (talk)
MATHMOD 2018 - 9th Vienna International Conference on Mathematical Modelling – February 2018 -
Nonlinear Model Order Reduction for Problems with Moving Discontinuities (talk)
CASA Colloquium, TU Eindhoven – January 2018
2017-
MULTIBAT - Reduced Order Modelling of Lithium-Ion Battery Models with Resolved Electrode Geometry (talk)
ACOMEN 2017 - 7th International Conference on Advanced COmputational Methods in ENgineering – September 2017 -
Hierarchical Approximate POD (talk)
LMS-EPSRC Durham Symposium – August 2017 -
Model Reduction for Transport Problems via Nonlinear State Space Transformation (talk)
14th U.S. National Congress on Computational Mechanics – July 2017 -
Model Order Reduction with pyMOR and NGSolve (talk) (Jupyter notebook)
NGSolve User Meeting – June 2017 -
HAPOD – Fast and Simple Distributed POD Computation (talk)
GAMM Jahrestagung – March 2017 -
Nonlinear Model Order Reduction with pyMOR (talk)
SIAM CSE17 - Conference on Computational Science and Engineering – February 2017
2016-
Reduced Basis Approximation of Lithium-Ion Battery Models (talk)
RWTH Aachen – December 2016 -
Nonlinear Model Order Reduction for Parametric Time Evolution Problems using the Method of Freezing (talk) (code)
7th European Congress of Mathematics – July 2016 -
pyMOR - Generic Model Order Reduction Algorithms for MPI Distributed PDE Solvers (talk)
PDE Software Frameworks 2016 – July 2016 -
Model Order Reduction for Electrochemistry Simulations (talk)
Absolventen-Seminar Numerische Mathematik, TU Berlin – June 2016 -
Hierarchical Approximate POD (poster) (code)
MORML 2016 - Workshop on Data-driven Model Order Reduction and Machine Learning – March 2016 -
Reduced Basis Methods - Success, Limitations and Future Challenges (talk)
ALGORITMY 2016 - Conference on Scientific Computing – March 2016
2015-
Reduced Basis Approximation of Microscale Lithium-Ion Battery Models - From Theory to Implementation (talk)
SimTech MOR-Seminar, Stuttgart – December 2015 -
A Modularized Modeling, Discretization and Model Order Reduction Workflow (talk)
MoRePaS 2015 - Model Reduction of Parametrized Systems III – October 2015 -
Reduction of Microscale Li-Ion Battery Models (talk)
ECCOMAS COUPLED PROBLEMS 2015 – May 2015 -
pyMOR - A New Model Order Reduction Software Framework (talk)
SIAM CSE15 - Conference on Computational Science and Engineering – March 2015 -
Reduced Basis Methods - From Theory to Implementation (talk)
KIT, Karlsruhe – January 2015
2014-
A Model Reduction Framework for Efficient Simulation of Li-Ion Batteries (poster)
FVCA7 - The International Symposium of Finite Volumes for Complex Applications VII – June 2014 -
Model Reduction of Microscale Li-Ion Battery Models (talk)
CeNoS Workshop: Complexity Meets Energy – March 2014
2013-
DUNE-pyMOR: Model Order Reduction with Python and Dune (talk)
Dune User Meeting 2013 – September 2013 -
Nonlinear Reduced Basis Approximation of Parameterized Evolution Equations Using the Method of Freezing (talk)
Model Reduction and Approximation for Complex Systems – June 2013
2012-
Freezing of Evolution Equations for Improved Reduced Basis Approximation (poster)
MoRePaS II - Second International Workshop on Model Reduction for Parametrized Systems – October 2012 -
Freezing Solutions of Time Evolution Problems for Reduced Basis Approximation (talk)
Reduced Basis Methods Workshop 2012 – August 2012
-
A Knowledge Graph of Numerical Algorithms (talk)
Lehre
- Kolloquium: Kolloquium zur Angewandten Mathematik [108392]
(zusammen mit Prof. Dr. Mario Ohlberger, Prof. Dr. Caterina Zeppieri, Prof. Dr. Christian Seis, Dr. Frank Wübbeling, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Jun.-Prof. Manuel Friedrich, Prof. Dr. Arnulf Jentzen, Prof. Dr. Christian Engwer, Prof. Dr. Angela Stevens)
[ - | | wöchentlich | Mi. | M B 5 (M 5) | Dr. Stephan Rave] - Übung: Übungen zu Numerical Methods for Partial Differential Equations II [108412]
(zusammen mit Tim Keil)
[ - | | wöchentlich | Do. | Tim Keil]
[ - | | wöchentlich | Mo. | Tim Keil] - Oberseminar: Oberseminar Angewandte Mathematik [108393]
(zusammen mit Prof. Dr. Mario Ohlberger, Prof. Dr. Caterina Zeppieri, Prof. Dr. Christian Seis, Dr. Frank Wübbeling, Prof. Dr. André Schlichting, Prof. Dr. Benedikt Wirth, Jun.-Prof. Manuel Friedrich, Prof. Dr. Arnulf Jentzen, Prof. Dr. Christian Engwer, Prof. Dr. Angela Stevens)
[ - | | wöchentlich | Mi. | M B 5 (M 5) | Dr. Stephan Rave] - Seminar: Masterseminar: Advanced Numerical Methods and Applications [108413]
(zusammen mit Prof. Dr. Mario Ohlberger) - Vorlesung: Numerical Methods for Partial Differential Equations II [108411]
[ - | | wöchentlich | Di. | M B 6 (M 6) | Dr. Stephan Rave]
[ - | | wöchentlich | Fr. | M B 6 (M 6) | Dr. Stephan Rave]
- Kolloquium: Kolloquium zur Angewandten Mathematik [106338]
(zusammen mit Prof. Dr. Mario Ohlberger, Prof. Dr. Christian Seis, Prof. Dr. Caterina Zeppieri, Dr. Frank Wübbeling, Prof. Dr. André Schlichting, Jun.-Prof. Theresa Simon, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Christian Engwer, Prof. Dr. Angela Stevens) - Anleitung zum wissenschaftlichen Arbeiten: Privatissimum [106336]
(zusammen mit Prof. Dr. Christian Seis, Prof. Dr. Caterina Zeppieri, Prof. Dr. Mario Ohlberger, Dr. Frank Wübbeling, Prof. Dr. André Schlichting, Jun.-Prof. Theresa Simon, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Angela Stevens, Prof. Dr. Christian Engwer) - Praktikum: Einführung in die Programmierung zur Numerik mit Python [106365]
- Oberseminar: Oberseminar Angewandte Mathematik [106339]
(zusammen mit Prof. Dr. Caterina Zeppieri, Prof. Dr. Mario Ohlberger, Prof. Dr. Christian Seis, Dr. Frank Wübbeling, Prof. Dr. André Schlichting, Jun.-Prof. Theresa Simon, Prof. Dr. Benedikt Wirth, Prof. Dr. Arnulf Jentzen, Prof. Dr. Angela Stevens, Prof. Dr. Christian Engwer) - Seminar: Masterseminar: Numerical Methods for Large Scale PDE Problems [106364]
- Vorlesung: Reduced Basis Methods [106363]
- Praktikum: Einführung in die Programmierung zur Numerik mit Python [102421]
(zusammen mit Prof. Dr. Mario Ohlberger) - Seminar: Mittagsseminar Softwaretools (nicht nur) in der Mathematik [102445]
(zusammen mit Prof. Dr. Christian Engwer) - Seminar: Masterseminar zur Modellreduktion [102423]
(zusammen mit Prof. Dr. Mario Ohlberger)
- Praktikum: Einführung in die Programmierung zur Numerik mit Python [100389]
(zusammen mit Prof. Dr. Mario Ohlberger) - Praktikum: Einführung in die Programmierung zur Numerik mit Python [100446]
(zusammen mit Prof. Dr. Mario Ohlberger, ) - Seminar: Mittagsseminar Softwaretools (nicht nur) in der Mathematik [100444]
(zusammen mit Prof. Dr. Christian Engwer) - Seminar: Master-und Oberseminar zu effizienten numerischen Methoden [100391]
(zusammen mit Dr. Felix Schindler, Prof. Dr. Mario Ohlberger) - Seminar: Bachelorseminar: Innovative numerische Methoden [100388]
(zusammen mit Dr. Felix Schindler, Prof. Dr. Mario Ohlberger)
- Praktikum: Einführung in die Programmierung zur Numerik mit Python [108349]
(zusammen mit Prof. Dr. Mario Ohlberger, )
- Praktikum: Einführung in die Programmierung zur Numerik mit Python [106380]
(zusammen mit Prof. Dr. Mario Ohlberger, ) - Seminar: Masterseminar: Zufallsbasierte Algorithmen [106385]
(zusammen mit , Prof. Dr. Mario Ohlberger) - Seminar: Master-und Oberseminar zu effizienten numerischen Methoden [106383]
(zusammen mit , Dr. Felix Schindler, Prof. Dr. Mario Ohlberger, )
- Praktikum: Einführung in die Programmierung zur Numerik mit Python [100434]
(zusammen mit Dr. Felix Schindler, Prof. Dr. Mario Ohlberger) - Praktikum: Einführung in die Programmierung zur Numerik mit Python [104440]
(zusammen mit Prof. Dr. Mario Ohlberger) - Seminar: Bachelorseminar Modellreduktion dynamischer Systeme [104438]
(zusammen mit Dr. Felix Schindler, ) - Seminar: Master-und Oberseminar zu effizienten numerischen Methoden [104435]
(zusammen mit , Dr. Felix Schindler, , )
- Seminar: Master-und Oberseminar zu effizienten numerischen Methoden [102385]
(zusammen mit Dr. Felix Schindler, , Prof. Dr. Mario Ohlberger, , ) - Seminar: Bachelorseminar: Modellierung und Modellreduktion [102383]
(zusammen mit Dr. Felix Schindler, Prof. Dr. Mario Ohlberger)
- Praktikum: Einführung in die Programmierung zur Numerik mit Python [100872]
(zusammen mit Prof. Dr. Mario Ohlberger) - Seminar: Masterseminar: Effiziente numerische Methoden für partielle Differentialgleichungen [100386]
(zusammen mit Dr. Felix Schindler, Prof. Dr. Mario Ohlberger) - Seminar: Bachelorseminar: A posteriori Fehlerabschätzungen und deren Anwendungen [100385]
(zusammen mit Dr. Felix Schindler, Prof. Dr. Mario Ohlberger)
- Übung: Übung/ Praktikum zur Vorlesung Numerische Mehrskalenmethoden und Modellreduktion [108038]
(zusammen mit Prof. Dr. Mario Ohlberger) - Praktikum: Einführung in die Programmierung zur Numerik mit Python Kurs 1 [108048]
(zusammen mit Dr. Felix Schindler, Prof. Dr. Mario Ohlberger) - Praktikum: Einführung in die Programmierung zur Numerik mit Python Kurs 2 [108012]
(zusammen mit Dr. Felix Schindler, Prof. Dr. Mario Ohlberger)
- Übung: Übung zur Vorlesung Wissenschaftliches Rechnen [106233]
(zusammen mit Julia Brunken, Dr. Felix Schindler) - Praktikum: Einführung in die Programmierung zur Numerik mit Python [106227]
- Vorlesung: Wissenschaftliches Rechnen [106232]
(zusammen mit Dr. Felix Schindler)
- Praktikum: Software-Tools für die Numerische Mathematik [103870]
(zusammen mit Dr. Felix Schindler, Prof. Dr. Mario Ohlberger)
- Praktikum: Praktikum zur Vorlesung: Modellreduktion für partielle Differentialgleichungen [102957]
(zusammen mit René Fritze, Prof. Dr. Mario Ohlberger) - V/Ü: Modellreduktion für Partielle Differentialgleichungen [102938]
(zusammen mit Prof. Dr. Mario Ohlberger)
- V/Ü: Modellreduktion für parametrisierte partielle Differentialgleichungen [100952]
(zusammen mit Dr. Felix Schindler)
- Praktikum: Einführung in die Programmierung mit MATLab [101297]
(zusammen mit , Prof. Dr. Mario Ohlberger)
- Übung: Übungen Gewöhnliche Differentialgleichungen [100450]
(zusammen mit , apl. Prof. Wend Werner)
- Kolloquium: Kolloquium zur Angewandten Mathematik [108392]
Software
pyMOR
A modern Python-based model reduction library which can be easily integrated with external PDE solvers Project Page
simdb
A simple Python module for the management of simulation datasets Project Page