Kernel based multi level methods for approximation problems of high dimensions on sparse grids - Derivation, Analysis and Application in the Uncertainty Quantification PIs: Professor Dr. Christian Rieger; Professor Dr. Holger Wendland DFG projekt number 452806809 Duration: 2021-2024 Team Marburg: Federico Lot
Former projects
Adaptive Quarklet Methods for the numerical Solution of Elliptic Partial Differential Equations with exponential Convergence DFG project number: 528343051 PI: Dr. Marc Hovemann Duration: 2023-2025 (is continued in Jena)
LOEWE-Center 'Natur 4.0: Sensing Biodiversity' Subproject UM3: Transformation, Regularisation and Classification PI: Professor Dr. Stephan Dahlke Duration: 2019-2023 Team: Sven Heuer
Adaptive Quarklet Frame Methods of high order for elliptic operator equations PI: Professor Dr. Stephan Dahlke, Professor Dr. Thorsten Raasch DFG project number 451355735 Duration: 2021-2023 Team Marburg: Dr. Marc Hovemann
New Smoothness Spaces on Domains and their Discrete Characterizations within the D-A-CH framework (DA 360/22-1) (2018 - 2021)
New Smoothness Spaces on Domains and their Discrete Characterizations within the D-A-CH framework (DA 360/22-1) (2018 - 2021)
Regularity Theory of Stochastic Partial Differential Equations in (Quasi-)Banach Spaces (2014 - 2015)
Optimal Adaptive Finite Element and Wavelet Methods for p-Poisson Equations (2013 - 2016)
Adaptive Wavelet and Frame Techniques for Acoustic BEM within the D-A-CH framework (2013 - 2016)
Adaptive Wavelet Methods for SPDEs, Part II within DFG-SPP 1324 "Extraction of quantifiable information from complex systems" (2012 - 2015)
Coordination of SPP 1324 "Mathematical Methods for Extracting Quantifiable Information from Complex Systems", Phase II (2011-2014)
Adaptive Wavelet Frame Methods for Operator Equations: Sparse Grids, Vector-Valued Spaces and Applications to Nonlinear Inverse Parabolic Problems, Part II within DFG-SPP 1324 "Extraction of quantifiable information from complex systems" (2011 - 2013)
Sensitivitätsanalyse, Parameterbestimmung und Modellvalidierung für komplexe biologische Prozesse (2010 - 2014)
Dynamik regulatorischer Netzwerke für Zellpolarität (2010 - 2014)
Uncertainty Principles versus Localization Properties, Function Systems for Efficient Coding Schemes - UNLocX (2010 - 2013)
Adaptive Wavelet Methods for SPDEs, Part I within DFG-SPP 1324 "Extraction of quantifiable information from complex systems" (2009 - 2012)
Coordination of SPP 1324 "Mathematical Methods for Extracting Quantifiable Information from Complex Systems", Phase I (2008-2011)
Adaptive Wavelet Frame Methods for Operator Equations: Sparse Grids, Vector-Valued Spaces and Applications to Nonlinear Inverse Parabolic Problems, Part I within DFG-SPP 1324 "Extraction of quantifiable information from complex systems" (2008 - 2011)
Adaptive Wavelet Methods for Inverse Problems and Inverse Parabolic Equations (2006 - 2009)
Multivariate Wavelet Analysis: Constructions, Specific Applications, and Data Structures, Part III within DFG-SPP 1114 "Mathematische Methoden der Zeitreihenanalyse und digitalen Bildverarbeitung" (2005 - 2007)
Multivariate Wavelet Analysis: Constructions, Specific Applications, and Data Structures, Part II within DFG-SPP 1114 "Mathematische Methoden der Zeitreihenanalyse und digitalen Bildverarbeitung" (2003 - 2005)
Multivariate Wavelet Analysis: Constructions, Specific Applications, and Data Structures, Part I within DFG-SPP 1114 "Mathematische Methoden der Zeitreihenanalyse und digitalen Bildverarbeitung" (2001 - 2003)