Projects in preparationin processfinishedin preparationDynamical systems and irregular gradient flows (2021 - 2025)Own resources projectin processNIH Grant Number: 1 R01 EB 026299-01 - BrainStorm: Highly Extensible Software for Advanced Electrophysiology and MEG/EEG Imaging (since 2019)Own resources projectReconstruction of epilepsy-characteristic sources by means of a simultaneous evaluation of EEG- and MEG- data using calibrated realistic head models (since 2016)Own resources projectModeling and Simulation of TNF receptor clustering (since 2010)Own resources projectCiM-IMPRS - Cells in Motion (CiM) Graduate School and International Max Planck Research School - Molecular Biomedicine (since 2010)Individual project: Federal Ministry of Culture and Science of the Federal State of North Rhine-WestphaliaMaRDI - Mathematical Research Data Initiative - TA2: Scientific Computing (2021 - 2026)Subproject in DFG-joint project hosted outside WWU: DFG - National Research Data Infrastructure | Project Number: NFDI 29 /1EXC 2044 - C1: Evolution and asymptotics (2019 - 2025)Subproject in DFG-joint project hosted at WWU: DFG - Cluster of Excellence | Project Number: EXC 2044/1EXC 2044 - C2: Multi-scale phenomena and macroscopic structures (2019 - 2025)Subproject in DFG-joint project hosted at WWU: DFG - Cluster of Excellence | Project Number: EXC 2044/1EXC 2044 - C3: Interacting particle systems and phase transitions (2019 - 2025)Subproject in DFG-joint project hosted at WWU: DFG - Cluster of Excellence | Project Number: EXC 2044/1EXC 2044 - B3: Operator algebras & mathematical physics (2019 - 2025)Subproject in DFG-joint project hosted at WWU: DFG - Cluster of Excellence | Project Number: EXC 2044/1EXC 2044 - C4: Geometry-based modelling, approximation, and reduction (2019 - 2025)Subproject in DFG-joint project hosted at WWU: DFG - Cluster of Excellence | Project Number: EXC 2044/1EXC 2044 - Cluster of Excellence 2044 - Mathematics Münster: Dynamics – Geometry – Structure (2019 - 2025)Main DFG-project hosted at WWU: DFG - Cluster of Excellence | Project Number: EXC 2044/1CRC 1450 A05 - Targeting immune cell dynamics by longitudinal whole-body imaging and mathematical modelling (2021 - 2024)Subproject in DFG-joint project hosted at WWU: DFG - Collaborative Research Centre | Project Number: SFB 1450/1, A05CRC 1450 A06 - Improving intravital microscopy of inflammatory cell response by active motion compensation using controlled adaptive optics (2021 - 2024)Subproject in DFG-joint project hosted at WWU: DFG - Collaborative Research Centre | Project Number: SFB 1450/1, A06DLMATH - Mathematical Theory for Deep Learning (2019 - 2024)Own resources projectPDE - Existence, uniqueness, and regularity properties of solutions of partial differential equations (2019 - 2024)Own resources projectSDE - Regularity properties and approximations for stochastic ordinary and partial differential equations with non-globally Lipschitz continuous nonlinearities (2019 - 2024)Own resources projectCURSEOFDIM - Overcoming the curse of dimensionality: stochastic algorithms for high-dimensional partial differential equations (2019 - 2024)Own resources projectPerEpi - Personalised diagnosis and treatment for refractory focal paediatric and adult epilepsy (2021 - 2024)Own resources projectML-MORE - ML-MORE: Machine learning and model order reduction to predict the efficiency of catalytic filters. Subproject 1: Model Order Reduction (2020 - 2023)Participation in BMBF-joint project: Federal Ministry of Education and Research | Project Number: 05M20PMATraCar - Mathematische Rekonstruktion und Modellierung der CAR T-Zell Verteilung in vivo in einem Tumormodell (2019 - 2023)Individual project: MKW - EFRE-Wettbewerb Neue Leitmärkte - LifeSciences.NRW | Project Number: EFRE-0801762SPP 2256: Variational Methods for Predicting Complex Phenomena in Engineering Structures and Materials - Subproject: Multiscale structure in compliance minimization (2020 - 2023)Subproject in DFG-joint project hosted outside WWU: DFG - Priority Programme | Project Number: WI 4654/2-1SPP 2256: Variational Methods for Predicting Complex Phenomena in Engineering Structures and Materials - Subproject: Variational modelling of fracture in high-contrast microstructured materials: mathematical analysis and computational mechanics (2020 - 2023)Subproject in DFG-joint project hosted outside WWU: DFG - Priority Programme | Project Number: ZE 1186/2-1HyperCut – Stabilized DG schemes for hyperbolic conservation laws on cut cell meshes (2020 - 2023)Individual project: DFG - Individual Grants Programme | Project Number: EN 1042/5-1LRB-Opt - Localized Reduced Basis Methods for PDE-constrained Parameter Optimization (2019 - 2023)Individual project: DFG - Individual Grants Programme | Project Number: OH 98/11-1; SCHI 1493/1-1Variational Modeling of Molecular Geometries (2020 - 2023)Individual project: DFG - Joint Proposal Submission with Austria and Switzerland (D-A-CH) | Project Number: FR 4083/3-1Transport Equations, mixing and fluid dynamics (2020 - 2023)Individual project: DFG - Individual Grants Programme | Project Number: SE 2436/3-1Invariante Mannigfaltigkeiten für schnelle Diffusionen nahe Auslöschung (2022)Individual project: DFG - Individual Grants Programme | Project Number: SE 2436/4-1pyMOR - pyMOR - Sustainable Software for Model Order Reduction (2018 - 2022)Individual project: DFG - Scientific Library Services and Information Systems | Project Number: RA 3055/1-1NoMADS - Nonlocal Methods for Arbitrary Data Sources (2018 - 2022)EU-project hosted outside WWU: EC H2020 - Marie Skłodowska-Curie Actions - Research and Innovation Staff Exchange | Project Number: 777826Homogenisation and elliptic approximation of random free-discontinuity functionals (2020 - 2022)Individual project: DFG - Individual Grants Programme | Project Number: ZE 1186/1-1MALLi2 - Modellbasierte Abschätzung der Lebensdauer von gealterten Li-Batterien für die 2nd Life Anwendung als stationärer Stromspeicher (2018 - 2021)Participation in BMBF-joint project: Federal Ministry of Education and Research | Project Number: 05M18PMAFracture models in SBD: Homogenization and quasistatic evolution (2019 - 2021)Individual project: DFG - Individual Grants Programme | Project Number: FR 4083/1-1MED4D - Verbundprojekt MED4D: Dynamische Medizinische Bildgebung: Modellierung und Analyse medizinischer Daten für verbesserte Diagnose, Überwachung und Arzneimittelentwicklung (2016 - 2020)Participation in BMBF-joint project: Federal Ministry of Education and Research | Project Number: 05M16PMBSolvers 2019 - Project-Specific Workshop "Advanced Solvers for modern Architectures 2019" (2019 - 2020)Scientific Event: Participation / conference fees , DFG - Priority ProgrammeHPC²SE - Verbundprojekt: HPC2SE - Hardware- und Leistungsorientierte Codegenerierung für Informatik und Ingenieurwesen (2017 - 2019)Participation in BMBF-joint project: Federal Ministry of Education and Research | Project Number: 01IH16003BEXC 1003 C5 - Whole-Body Imaging of Awake Organisms (2012 - 2019)Subproject in DFG-joint project hosted at WWU: DFG - Cluster of Excellence | Project Number: EXC1003/1EXC 1003 B2 - Regulation of Vascular Permeability and Leukocyte Extravasation (2012 - 2019)Subproject in DFG-joint project hosted at WWU: DFG - Cluster of Excellence | Project Number: EXC1003/1Alfried-Krupp-Förderpreis für junge Hochschullehrer 2014 (2014 - 2019)Own resources projectDAAD Exchange Service: PPP Finnland 2015 - Bayesian Inverse Problems in Banach Space (2015 - 2017)Individual project: German Academic Exchange Service | Project Number: 57162894Konzeption und Evaluation geometrischer Mehrgitterlöser für discontinuous Galerkin Elastizitätsproblem auf Cut-Cell-Gittern (CCMGE) (2016 - 2017)Individual project: Siemens AG | Project Number: 9702107839Inverse Problems for Drift-Diffusion Equations with Applications to Chemotaxis and Synthetic Nanopores (2015 - 2017)Individual project: Daimler und Benz Stiftung | Project Number: 32-09/12MKOVG - Massenerhaltende Kopplung von Oberflächen- und Volumenprozessen auf impliziten, zeitabhängigen Gebieten (2014 - 2017)Individual project: DFG - Individual Grants Programme | Project Number: EN 1042/4-1finishedSPP 1962: Non-smooth and Complementarity-Based Distributed Parameter Systems: Simulation and Hierarchical Optimization - SP: Non-smooth and non-convex optimal transport problems (2019 - 2022)Subproject in DFG-joint project hosted outside WWU: DFG - Priority Programme | Project Number: WI 4654/1-1SPP 1748: Reliable Simulation Techniques in Solid Mechanics - Development of Non-Standard Discretisation Methods, Mechanical and Mathematical Analysis - SP: Robust and Efficient Finite Element Discretizations for Higher-Order Gradient Formulations (2018 - 2020)Subproject in DFG-joint project hosted outside WWU: DFG - Priority Programme | Project Number: SCHE 1885/1-1GlioMaTh - Verbundprojekt 05M2016 - GlioMaTh: Gliomen, Mathematische Modelle und Therapieansätze - Teilprojekt 2 (2016 - 2019)Participation in BMBF-joint project: Federal Ministry of Education and Research | Project Number: 05M16PMAEXC 1003 A6 - Motion Analysis in Cellular Systems (2012 - 2019)Subproject in DFG-joint project hosted at WWU: DFG - Cluster of Excellence | Project Number: EXC1003/1LifeInverse - Variational Methods for Dynamic Inverse Problems in the Life Sciences (2014 - 2019)EU-project hosted at WWU: EU FP 7 - ERC Consolidator Grants | Project Number: 615216EXA-DUNE - SPP 1648: Software for Exascale Computing - Subproject: EXA-DUNE - Flexible PDE Solvers, Numerical Methods, and Applications (2015 - 2018)Subproject in DFG-joint project hosted outside WWU: DFG - Priority Programme | Project Number: EN 1042/2-2; OH 98/5-2CoS-MRXI - SPP 1798 - subproject: CoS-MRXI - Compressed sensing for magnetorelaxometry imaging of magnetic nanoparticles (2015 - 2018)Subproject in DFG-joint project hosted outside WWU: DFG - Priority Programme | Project Number: BU 2327/12-1EXC 1003 FF-2016-15 - Quantitative analysis of local subcellular cell junction activity by JAIL formation and its impact on endothelial cell migration and barrier function (2016 - 2018)Subproject in DFG-joint project hosted at WWU: DFG - Cluster of Excellence | Project Number: FF-2016-15Wave propagation in periodic structures and negative refraction mechanisms (2014 - 2018)Individual project: DFG - Individual Grants Programme | Project Number: OH 98/6-1EXC 1003 FF-2015-07 - Mechanobiology, Mathematical Modeling and Simulation of Forces During Tissue Morphogenesis (2015 - 2017)Subproject in DFG-joint project hosted at WWU: DFG - Cluster of Excellence Derivation, analysis and validation of model reduction methods for the approximation of parameterized Maxwell equations (2013 - 2017)Individual project: CST AGCRC 656 B07 - Mathematical Modelling of Atherosclerotic Plaque Formation Based on Data from Multiparametric Imaging (2013 - 2017)Subproject in DFG-joint project hosted at WWU: DFG - Collaborative Research CentreSFB 656 B02 - CRC 656 B02 - PET reconstructions of thin structures and their validation (2005 - 2017)Subproject in DFG-joint project hosted at WWU: DFG - Collaborative Research CentreWorkshop "Shape, Images and Optimization" (2017)Scientific Event: Participation / conference fees Nonlinear Lattice Waves (2014 - 2016)Individual project: DFG - Individual Grants Programme | Project Number: HE 6853/2-1MULTIBAT - Verbundprojekt 05M2013 - MULTIBAT: Multiskalenmodelle und Modellreduktionsverfahren zur Vorhersage der Lebensdauer von Lithium-Ionen-Batterien - Teilprojekt 1 (2013 - 2016)Participation in BMBF-joint project: Federal Ministry of Education and Research | Project Number: 05M13PMAEXC 1003 FF-2014-07 – Intravital microscopy of neutrophil extravasation into the peritoneum (2014 - 2016)Subproject in DFG-joint project hosted at WWU: DFG - Cluster of Excellence EXC 1003 FF-2014-06 – Analysis of cell-cell interactions during neuronal migration in the developing cortex by live cell imaging and cell shape quantification (2014 - 2016)Subproject in DFG-joint project hosted at WWU: DFG - Cluster of Excellence EXC 1003 FF-2013-16 - PET imaging of freely moving mice (2013 - 2016)Subproject in DFG-joint project hosted at WWU: DFG - Cluster of Excellence HYPERMATH - Verbundprojekt 05M2013 - HYPERMATH: Hyperspectral Imaging: mathematische Methoden für Innovationen in der Medizin und Industrie (2013 - 2016)Participation in BMBF-joint project: Federal Ministry of Education and Research | Project Number: 05M13PMCEXA-DUNE - SPP 1648: Software for Exascale Computing - Subproject: EXA-DUNE - Flexible PDE Solvers, Numerical Methods, and Applications (2012 - 2016)Subproject in DFG-joint project hosted outside WWU: DFG - Priority Programme | Project Number: EN 1042/2-1; OH 98/5-1Workshop: Numerical Schemes for Surface PDE's (2016)Scientific Event: Participation / conference fees Direkte und Inverse Probleme nichtlinearer Drift-Diffusionsgleichungen (2015 - 2016)Own resources projectSummerschool on Inverse Problems, Münster, 22.-25.09.2015 (2015)Scientific Event: Participation / conference fees First Applied Mathematics Symposium Münster "Variational Methods for Dynamics Inverse Problems and Imaging" (2015)Scientific Event: Participation / conference fees Efficient solvers for DG discretizations of saddle point problems (2012 - 2013)Participation in other joint projects: German Academic Exchange Service"Sparsity constrained inversion with tomographic applications" (2011 - 2013)Individual project: DFG - Individual Grants Programme | Project Number: BU 2327/6Multiscale simulation of ion transport through biological and synthetic channels (2009 - 2013)Individual project: VolkswagenStiftung | Project Number: I/83 928Multi-scale analysis of two-phase flow in porous media with complex heterogenities (2012 - 2013)Individual project: DFG - Individual Grants Programme | Project Number: OH 98/4-2Reduced basis methods for model reduction of nonlinear parameterized evolution equations (2011 - 2013)Individual project: DFG - Individual Grants Programme | Project Number: OH 98/2-2Multiscale Methods for l1-type regularizations (2012)Participation in other joint projects: German Academic Exchange ServiceNonlinear mass-preserving registration for magnetic resonance imaging (MRI) and positron emission tomography (PET) (2012)Individual project: DFG - Individual Grants Programme | Project Number: BU 2327/8-1Multi-scale - Multi-scale analysis of two-phase flow in porous media with complex heterogeneities (2009 - 2012)Individual project: DFG - Individual Grants Programme | Project Number: 568656SPP 1253 Optimization with Partial Differential Equitations - Optimal control of self-consistent classical and quantum particle systems (2009 - 2012)Subproject in DFG-joint project hosted outside WWU: DFG - Priority Programme | Project Number: 569012Anpassung des Simulationsframeworks DUNE zur Deichsimulation (2012)Individual project: Siemens AGSFB 656 PM09 - CRC 656 PM09 - Modeling of blood flow for a arteriosclerosis model (2010 - 2011)Subproject in DFG-joint project hosted at WWU: DFG - Collaborative Research CentreMathematical Modeling, Analysis and Numerics for the Behavior of Cell Populations with applications to Tumor Growth: a Multiscale Approach (2008 - 2011)Own resources projectRegularization with singular energies (2007 - 2011)Individual project: DFG - Individual Grants Programme | Project Number: BU 2327/2-1RBevol - Reduced basis methods for model reduction of nonlinear parameterized evolution equations (2009 - 2011)Individual project: DFG - Individual Grants Programme | Project Number: OH 98/2-1AdaptHydroMod - Co-operative Project "Adaptive hydrological modeling with application in water resource management", Sub-project "Multi-scale modelling and system reduction for ground water flow" (2007 - 2010)Participation in BMBF-joint project: Federal Ministry of Education and Research | Project Number: 03OMPAF1Verbundprojekt INVERS: Teilprojekt TV-Regularisierung, Segmentierung und Cartoon-Rekonstruktion in der Nanoskopie (2007 - 2010)Participation in BMBF-joint project: Federal Ministry of Education and Research | Project Number: 03BUPAH3Computational methods for identifying ischemic heart disease (2008)Participation in other joint projects: German Academic Exchange ServiceCRC 656 PM06 - Nonlinear Variational Model for Improved Quantification of Myocardial Blood Flow using Dynamic H215O-PET (2008)Subproject in DFG-joint project hosted at WWU: DFG - Collaborative Research Centre