Contact

Brit Steiner
IANS
Pfaffenwaldring 57
70569 Stuttgart
Germany
 
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+49-711-68562080
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+49-711-68565507

 

 

 

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Prof. Dr. Bernard Haasdonk

Prof. Dr.
Bernard  Haasdonk
Professor for Numerical Mathematics

This picture shows  
				Bernard Haasdonk
Phone 0049 711 685 - 65542
Fax 0049 711 685 - 65507
Room Office 7.328
Email address
Address
University of Stuttgart
Institute of Applied Analysis and Numerical Simulation
Pfaffenwaldring 57
D-70569  Stuttgart
Germany


Research Interests

  • Model Reduction
    • Parametrized PDEs
    • Parametrized dynamical systems
    • Reduced basis methods
    • Kernel methods for nonlinear systems
    • Adaptive Basis Generation
    • POD-Greedy procedures
  • Numerical Analysis
    • Evolution schemes, FV, LDG-methods
    • Conservation laws
    • Variational inequalities
    • Optimization with PDE constraints
    • Kernel methods for function approximation / PDEs
    • Greedy Procedures
  • Applications
    • Transport problems, fluid dynamics, single-/two-phase flow
    • Obstacle problems, Option Pricing
    • Geometry parametrization and optimization
    • Multiscale problems
    • Elastic multibody systems
    • Chemical Master Equation
    • Fuel cells, Lithium-Ion cells
  • Scientific Computing
    • Multiresolution visualization
    • Numerical Software development
    • Grape/dune-rb/RBmatlab/KerMor
  • Machine Learning
    • Kernel methods, kernel design
    • Support vector machines
    • Kernel Fisher / Mahalanobis Discriminants
    • Proximity-based learning
  • Pattern Recognition
    • Feature extraction
    • Classifier design
    • Invariance
    • Image processing
    • Handwriting Recognition
    • Raman-Spectra Recognition

Publications

Redeker, M. & Haasdonk, B.: A POD-EIM reduced two-scale model for precipitation in porous media, MCMDS, University of Stuttgart, 2016. Zeige BibTex

Burkovska, O.; Haasdonk, B.; Salomon, J. & Wohlmuth, B.: Reduced basis methods for pricing options with the Black-Scholes and Heston model, SIAM journal on Financial Mathematics (SIFIN), Arxiv, 2015, 6, 685–-712. Zeige BibTex

Dihlmann, M. A. & Haasdonk, B.: Certified PDE-constrained parameter optimization using reduced basis surrogate models for evolution problems, COAP, Computational Optimization and Applications, 2015, 60, 753-787. Zeige BibTex

Dihlmann, M. & Haasdonk, B.: A reduced basis Kalman filter for parametrized partial differential equations, ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2015. Zeige BibTex

Kaulmann, S.; Flemisch, B.; Haasdonk, B.; Lie, K.-A. & Ohlberger, M.: The Localized Reduced Basis Multiscale method for two-phase flows in porous media, Internat. J. Numer. Methods Engrg., 2015, 102, 1018-1040. Zeige BibTex

Martini, I. & Haasdonk, B.: Output Error Bounds for the Dirichlet-Neumann Reduced Basis Method, Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2015, 103, 437-445. Zeige BibTex

Martini, I.; Rozza, G. & Haasdonk, B.: Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system, Advances in Computational Mathematics, 2015, 41, 1131-1157. Zeige BibTex

Wirtz, D.; Karajan, N. & Haasdonk, B.: Surrogate Modelling of multiscale models using kernel methods, International Journal of Numerical Methods in Engineering, 2015, 101, 1-28. Zeige BibTex

Haasdonk, B. & Ohlberger, M.: Wenn die Probleme zahlreicher werden: Reduzierte Basis Methoden für effiziente und gesicherte numerische Simulation, GAMM Rundbrief, 2014, 1, 6-13. Zeige BibTex

Maier, I. & Haasdonk, B.: A Dirichlet-Neumann reduced basis method for homogeneous domain decomposition problems, Applied Numerical Mathematics, 2014, 78, 31-48. Zeige BibTex

Schmidt, A.; Dihlmann, M. & Haasdonk, B.: Basis generation approaches for a reduced basis linear quadratic regulator, Proceedings of MATHMOD 2015, 2014, 8, 713-718. Zeige BibTex

Wirtz, D.; Sorensen, D. & Haasdonk, B.: A-posteriori error estimation for DEIM reduced nonlinear dynamical systems, SIAM J. Sci. Comp., University of Stuttgart, 2014, 36, A311-A338. Zeige BibTex Zeige Abstract

Amsallem, D.; Haasdonk, B. & Rozza, G.: A Conference within a Conference for MOR Researchers, SIAM News, 2013, 46, 8. Zeige BibTex

Dihlmann, M. & Haasdonk, B.: Certified Nonlinear Parameter Optimization with Reduced Basis Surrogate Models, Proc. Appl. Math. Mech., 2013, 13, 3-6. Zeige BibTex

Fehr, J.; Fischer, M.; Haasdonk, B. & Eberhard, P.: Greedy-based Approximation of Frequency-weighted Gramian Matrices for Model Reduction in Multibody Dynamics, ZAMM, 2013, 93, 501-519. Zeige BibTex

Haasdonk, B.: Convergence Rates of the POD-Greedy method, M2AN Math. Model. Numer. Anal., 2013, 47, 859-873. Preprint Zeige BibTex

Haasdonk, B.; Urban, K. & Wieland, B.: Reduced Basis Methods for Parametrized Partial Differential Equations with Stochastic Influences using the Karhunen Loeve Expansion, SIAM/ASA Journal on Uncertainty Quantification, 2013, 1, 79-105. Zeige BibTex

Kaulmann, S. & Haasdonk, B.: Moitinho de Almeida, José Paulo Baptista and Diez, Pedro and Tiago, Carlos and Parés, Núria (Eds.), Online Greedy Reduced Basis Construction Using Dictionaries, VI International Conference on Adaptive Modeling and Simulation (ADMOS 2013), 2013, 365-376. Kaulmann2013tv.pdf Zeige BibTex Zeige Abstract

Wirtz, D. & Haasdonk, B.: An Improved Vectorial Kernel Orthogonal Greedy Algorithm, Dolomites Research Notes on Approximation, 2013, 6, 83-100. Zeige BibTex Zeige Abstract

Dihlmann, M.; Kaulmann, S. & Haasdonk, B.: Online Reduced Basis Construction Procedure for Model Reduction of Parametrized Evolution Systems, Proc. MATHMOD 2012, 2012. Zeige BibTex

Drohmann, M.; Haasdonk, B. & Ohlberger, M.: Reduced Basis Model Reduction of Parametrized Two-phase Flow in Porous Media, Proc. MATHMOD 2012, 2012. Zeige BibTex

Drohmann, M.; Haasdonk, B. & Ohlberger, M.: Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation, SIAM Journal on Scientific Computing, 2012, 34, A937-A969. SimTech Preprint Zeige BibTex Zeige Abstract

Drohmann, M.; Haasdonk, B. & Ohlberger, M.: Dedner, Andreas and Flemisch, Bernd and Klöfkorn, Robert (Eds.), A Software Framework for Reduced Basis Methods Using DUNE-RB and RBMATLAB, Advances in DUNE: Proceedings of the DUNE User Meeting, Held in October 6th-8th 2010 in Stuttgart, Germany, Springer, 2012. Zeige BibTex Zeige Abstract

Haasdonk, B.; Salomon, J. & Wohlmuth, B.: A Reduced Basis Method for the Simulation of American Options, ENUMATH 2011 Proceedings, 2012. Zeige BibTex

Haasdonk, B.; Salomon, J. & Wohlmuth, B.: A Reduced Basis Method for Parametrized Variational Inequalities, SIAM Journal on Numerical Analysis, 2012, 50, 2656-2676. SimTech Preprint Zeige BibTex

Ruiner, T.; Fehr, J.; Haasdonk, B. & Eberhard, P.: A-Posteriori Error Estimation for Second Order Mechanical Systems, Acta Mechanica Sinica, 2012, 28, 854-862. Zeige BibTex

Waldherr, S. & Haasdonk, B.: Efficient Parametric Analysis of the Chemical Master Equation through Model Order Reduction, BMC Systems Biology, 2012, 6, 81. Zeige BibTex

Wirtz, D. & Haasdonk, B.: A-posteriori error estimation for parameterized kernel-based systems, Proc. MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, 2012. Preprint Zeige BibTex Zeige Abstract

Wirtz, D. & Haasdonk, B.: Efficient a-posteriori error estimation for nonlinear kernel-based reduced systems, Systems and Control Letters, 2012, 61, 203 - 211. Zeige BibTex Zeige Abstract

Dihlmann, M.; Drohmann, M. & Haasdonk, B.: Model Reduction of Parametrized Evolution Problems using the Reduced basis Method with Adaptive Time-Partitioning, Proc. of ADMOS 2011, 2011. SimTech Preprint Zeige BibTex

Drohmann, M.; Ohlberger, M. & Haasdonk, B.: Adaptive Reduced Basis Methods for Nonlinear Convection-Diffusion Equations, Proc. of FVCA6, 2011. Zeige BibTex

Haasdonk, B.; Dihlmann, M. & Ohlberger, M.: A Training Set and Multiple Basis Generation Approach for Parametrized Model Reduction Based on Adaptive Grids in Parameter Space, Mathematical and Computer Modelling of Dynamical Systems, 2011, 17, 423-442. Preprint Zeige BibTex

Haasdonk, B. & Lohmann, B.: Special Issue on ''Model Order Reduction of Parametrized Problems'', Mathematical and Computer Modelling of Dynamical Systems, 2011, 17, 295-296. Zeige BibTex

Haasdonk, B. & Ohlberger, M.: Efficient Reduced Models and A-Posteriori Error Estimation for Parametrized Dynamical Systems by Offline/Online Decomposition, MCMDS, Mathematical and Computer Modelling of Dynamical Systems, 2011, 17, 145-161. SimTech Preprint Zeige BibTex

Jung, N.; Patera, A.; Haasdonk, B. & Lohmann, B.: Model Order Reduction and Error Estimation with an Application to the Parameter-Dependent Eddy Current Equation, Mathematical and Computer Modelling of Dynamical Systems, 2011, 17, 561-582. Zeige BibTex

Kaulmann, S.; Ohlberger, M. & Haasdonk, B.: A new local reduced basis discontinuous Galerkin approach for heterogeneous multiscale problems, Comptes Rendus Mathematique, 2011, 349, 1233-1238. Kaulmann2011rr.pdf Zeige BibTex Zeige Abstract

Drohmann, M.; Haasdonk, B.; Kaulmann, S. & Ohlberger, M.: A Software Framework for Reduced Basis Methods using Dune-RB and RBmatlab, Proc. of the Dune User Meeting, 2010. Zeige BibTex

Haasdonk, B.: Effiziente und Gesicherte Modellreduktion für Parametrisierte Dynamische Systeme., at - Automatisierungstechnik, 2010, 58, 468-474. Zeige BibTex

Pekalska, E. & Haasdonk, B.: Indefinite Kernel Discriminant Analysis, Proc. COMPSTAT 2010, International Conference on Computational Statistics, 2010. Zeige BibTex

Drohmann, M.; Haasdonk, B. & Ohlberger, M.: Reduced Basis Method for Finite Volume Approximation of Evolution Equations on Parametrized Geometries, Proceedings of ALGORITMY 2009, 2009, 111-120. Zeige BibTex

Haasdonk, B. & Ohlberger, M.: Efficient a-posteriori Error Estimation for Parametrized Reduced Dynamical Systems, GMA-Fachaussschuss 1.30, Tagungsband, 2009. Zeige BibTex

Haasdonk, B. & Ohlberger, M.: Space-Adaptive Reduced Basis Simulation for Time-Dependent Problems, Proc. MATHMOD 2009, 6th Vienna International Conference on Mathematical Modelling, 2009. Zeige BibTex

Haasdonk, B. & Ohlberger, M.: Efficient Reduced Models for Parametrized Dynamical Systems by Offline/Online Decomposition, Proc. MATHMOD 2009, 6th Vienna International Conference on Mathematical Modelling, 2009. Zeige BibTex

Haasdonk, B. & Ohlberger, M.: Reduced basis method for explicit finite volume approximations of nonlinear conservation laws, Proc. HYP 2008, International Conference on Hyperbolic Problems: Theory, Numerics and Applications, Amer. Math. Soc., 2009, 67, 605-614. Zeige BibTex

Haasdonk, B.; Ohlberger, M.; Tonn, T. & Urban, K.: MoRePaS 2009 Book of Abstracts, University of Münster, 2009. Zeige BibTex

Jung, N.; Haasdonk, B. & Kröner, D.: Reduced Basis Method for Quadratically Nonlinear Transport Equations, IJCSM, 2009, 2, 334-353. SimTech Preprint Zeige BibTex

Pekalska, E. & Haasdonk, B.: Kernel Discriminant Analysis with Positive Definite and Indefinite Kernels, IEEE Transactions on Pattern Analysis and Machine Intelligence, 2009, 31, 1017-1032. Preprint Zeige BibTex

Fuhrmann, J.; Haasdonk, B.; Holzbecher, E. & Ohlberger, M.: Guest Editorial for Special Issue on Modelling and Simulation of PEM-FC, Journal of Fuel Cell Science and Technology, 2008, 5, 020301. Zeige BibTex

Haasdonk, B. & Ohlberger, M.: Reduced Basis Method for Finite Volume Approximations of Parametrized Linear Evolution Equations, M2AN, Math. Model. Numer. Anal., 2008, 42, 277-302. Preprint Zeige BibTex

Haasdonk, B. & Ohlberger, M.: Adaptive Basis Enrichment for the Reduced Basis Method Applied to Finite Volume Schemes, Proc. FVCA5, 5th International Symposium on Finite Volumes for Complex Applications, 2008, 471-478. Zeige BibTex

Haasdonk, B.; Ohlberger, M. & Rozza, G.: A Reduced Basis Method for Evolution Schemes with Parameter-Dependent Explicit Operators, ETNA, Electronic Transactions on Numerical Analysis, 2008, 32, 145-161. Preprint Zeige BibTex

Haasdonk, B. & Pekalska, E.: Classification with Kernel Mahalanobis Distances, Proc. of 32nd. GfKl Conference, Advances in Data Analysis, Data Handling and Business Intelligence, 2008. Zeige BibTex

Haasdonk, B. & Pekalska, E.: Indefinite Kernel Discriminant, Proc. ICPR 2008, International Conference on Pattern Recognition, 2008. Zeige BibTex

Haasdonk, B. & Burkhardt, H.: Classification with Invariant Distance Substitution Kernels, Proc. of 31st GfKl Conference, Data Analysis, Machine Learning, and Applications, 2007. Zeige BibTex

Haasdonk, B. & Burkhardt, H.: Invariant Kernels for Pattern Analysis and Machine Learning, Machine Learning, 2007, 68, 35-61. Zeige BibTex

Haasdonk, B. & Ohlberger, M.: P. Díez and K. Runesson (Eds.), Basis Construction for Reduced Basis Methods By Adaptive Parameter Grids, Proc. International Conference on Adaptive Modeling and Simulation, ADMOS 2007, CIMNE, Barcelona, 2007, 116-119. Zeige BibTex

Peschke, K.-D.; Haasdonk, B.; Ronneberger, O.; Burkhard, H.; Rösch, P.; Harz, M. & Popp, J.: Using Transformation Knowledge for the Classification of Raman Spectra of Biological Samples, BIOMED 2006, Proc. of the 4th IASTED International Conference on Biomedical Engineering, 2006, 288-293. Zeige BibTex

Haasdonk, B.: Feature Space Interpretation of SVMs with Indefinite Kernels, IEEE Transactions on Pattern Analysis and Machine Intelligence, 2005, 27, 482-492. Appendix Zeige BibTex

Haasdonk, B.; Vossen, A. & Burkhardt, H.: Invariance in Kernel Methods by Haar-Integration Kernels, Proc. SCIA 2005, Scandinavian Conference on Image Analysis, Springer, 2005, 841-851. Zeige BibTex

Haasdonk, B. & Bahlmann, C.: Learning with Distance Substitution Kernels, Pattern Recognition - Proc. of the 26th DAGM Symposium, Tübingen, Germany, Springer, 2004, 220-227. Zeige BibTex

Haasdonk, B.; Halawani, A. & Burkhardt, H.: Adjustable invariant features by partial Haar-integration, Proc. ICPR 2004, International Conference on Pattern Recognition, Cambridge, UK, IEEE CS, 2004, 2, 769-774. Zeige BibTex

Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, A. & Siebert, K. G.: Multiresolution Visualization of Higher Order Adaptive Finite Element Simulations, Computing, 2003, 70, 181-204. Zeige BibTex Zeige Abstract

Bahlmann, C.; Haasdonk, B. & Burkhardt, H.: On-line Handwriting Recognition with Support Vector Machines - A Kernel Approach, IWFHR-8, Eighth International Workshop on Frontiers in Handwriting Recognition, IEEE CS, 2002, 49-54. Zeige BibTex Zeige Abstract

Haasdonk, B. & Keysers, D.: Tangent Distance Kernels for Support Vector Machines, ICPR 2002, International Conference on Pattern Recognition, Quebeq City, Canada, IEEE CS, 2002, 2, 864-868. Zeige BibTex Zeige Abstract

Haasdonk, B.; Kröner, D. & Rohde, C.: Convergence of a staggered Lax-Friedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids, Numer. Math., 2001, 88, 459-484. Zeige BibTex

Haasdonk, B.: Convergence of a Staggered Lax-Friedrichs Scheme on Unstructured 2D-Grids, HYP 2000, Proceedings of the 8th International Conference on Hyperbolic Problems, Birkhäuser, 2000, 2, 475-484. Zeige BibTex

Haasdonk, B.: Konvergenz eines Staggered Lax-Friedrichs Verfahrens auf unstrukturierten 2D Gittern, Universität Freiburg, Abteilung für Angewandte Mathematik, 1999. Masters Thesis Zeige BibTex

Haasdonk, B.: Transformation Knowledge in Pattern Analysis with Kernel Methods --- Distance and Integration Kernels, Universität Freiburg, Institut für Informatik, 2005. Zeige BibTex

Recent Preprints and Miscellaneous

Martini, I.; Rozza, G. & Haasdonk, B.: Certified Reduced Basis Approximation for the Coupling of Viscous and Inviscid Parametrized Flow Models, University of Stuttgart, 2016. Zeige BibTex

Amsallem, D. & Haasdonk, B.: PEBL-ROM: Projection-Error Based Local Reduced-Order Models, University of Stuttgart, 2015. Zeige BibTex

Baur, U.; Benner, P.; Haasdonk, B.; Himpe, C.; Martini, I. & Ohlberger, M.: Comparison of methods for parametric model order reduction of instationary problems, Max Planck Institute Magdeburg, 2015. Zeige BibTex

Garmatter, D.; Haasdonk, B. & Harrach, B.: A reduced Landweber Method for Nonlinear Inverse Problems, University of Stuttgart, 2015. Zeige BibTex

Redeker, M. & Haasdonk, B.: A POD-EIM reduced two-scale model for precipitation in porous media, University of Stuttgart, 2015. Zeige BibTex

Schmidt, A. & Haasdonk, B.: Reduced Basis Approximation of Large Scale Algebraic Riccati Equations, University of Stuttgart, 2015. Zeige BibTex

Schmidt, A. & Haasdonk, B.: Reduced basis method for H2 optimal feedback control problems, University of Stuttgart, 2015. Zeige BibTex

Burkovska, O.; Haasdonk, B.; Salomon, J. & Wohlmuth, B.: Reduced basis methods for pricing options with the Black-Scholes and Heston model, Arxiv, 2014. Zeige BibTex

Haasdonk, B.: Reduced Basis Methods for Parametrized PDEs -- A Tutorial Introduction for Stationary and Instationary Problems, IANS, University of Stuttgart, Germany, 2014. Zeige BibTex

Kaulmann, S. & Haasdonk, B.: Online Greedy Reduced Basis Construction using Dictionaries, University of Stuttgart, 2013. Zeige BibTex

Wirtz, D.; Karajan, N. & Haasdonk, B.: Model order reduction of multiscale models using kernel methods, SRC SimTech, University of Stuttgart, Germany, 2012. Zeige BibTex

Wirtz, D.; Sorensen, D. & Haasdonk, B.: A-posteriori error estimation for DEIM reduced nonlinear dynamical systems, University of Stuttgart, 2012. Zeige BibTex Zeige Abstract

Haasdonk, B.: Reduzierte-Basis-Methoden, Vorlesungsskript SS 2011, University of Stuttgart, 2011. Reduced Basis Lecture 2011 Zeige BibTex

Haasdonk, B. & Ohlberger, M.: Reduced Basis Method for Finite Volume Approximations of Parametrized Evolution Equations, University of Freiburg, Institute of Applied Mathematics, 2006. Zeige BibTex

Burkhardt, H. & Haasdonk, B.: Mustererkennung WS 02/03, ein multimedialer Grundlagenkurs im Hauptstudium Informatik, 2003. Zeige BibTex

Haasdonk, B.; Poluru, B. & Teynor, A.: Presto-Box 1.1 Library Documentation, IIF-LMB, Universität Freiburg, 2003. Zeige BibTex

Haasdonk, B.; Ohlberger, M.; Rumpf, M.; Schmidt, A. & Siebert, K.-G.: h-p-Multiresolution Visualization of Adaptive Finite Element Simulations, Mathematics Department, University of Freiburg, 2001. Zeige BibTex

Geßner, T.; Haasdonk, B.; Lenz, M.; Metscher, M.; Neubauer, R.; Ohlberger, M.; Rosenbaum, W.; Rumpf, M.; Schwörer, R.; Spielberg, M. & Weikard, U.: A Procedural Interface for Multiresolutional Visualization of General Numerical Data, University of Bonn, 1999. Zeige BibTex

Supervised Theses

Garikapati, H.: A PGD Based Preconditioner for Scalar Elliptic Problems, University of Stuttgart, 2014. Zeige BibTex

Staehle, M.: Anisotrope Diffusion zur Bildfilterung, University of Stuttgart, 2014. Zeige BibTex

Sachs, A.: Proper-Generalized-Decomposition-Methode für elliptische partielle Differentialgleichungen, University of Stuttgart, 2013. Zeige BibTex

Simon, A.: Vergleich zwischen dem Galerkinverfahren und dem Verfahren des minimalen Residuums im Zusammenhang mit der Reduzierte-Basis-Methode, University of Stuttgart, 2013. Zeige BibTex

Simon, D.: Algorithmen der gitterfreien Kollokation durch radiale Basisfunktionen, University of Stuttgart, 2013. Zeige BibTex

Appel, C.: Mathematische Methoden zur Bestimmung alterungskritischer Parameter von Lithium-Ionen Zellen, IANS, University of Stuttgart, 2012. Zeige BibTex

Bernlöhr, J.: Online Reduzierte Basis Generierung für Parameterabhängige Elliptische Partielle Differentialgleichungen, IANS, University of Stuttgart, 2012. Zeige BibTex

Garmatter, D.: Reduzierte Basis Methoden für lineare Evolutionsprobleme am Beispiel von European Option Pricing, IANS, University of Stuttgart, 2012. Zeige BibTex

Ruiner, T.: A-posteriori Fehlerschätzer für Reduzierte Mechanische Systeme zweiter Ordnung, ITM, University of Stuttgart, 2011. Zeige BibTex

Schuster, D.: SVD-basierte Modellreduktion für Elastische Mehrkörpersysteme, IANS, University of Stuttgart, 2011. Zeige BibTex

Zeeb, O.: Reduzierte Basis Modelle für Formoptimierung unter Verwendung des SQP-Algorithmus, IANS, University of Stuttgart, 2011. Zeige BibTex

Drohmann, M.: Reduzierte Basis Methode für die Richards Gleichung, INAM, University of Münster, 2009. Zeige BibTex

Wirtz, D.: SegMedix - Development and Application of a Medical Imaging Framework, University of Münster, 2009. Zeige BibTex

Jung, N.: Anwendung der Reduzierten Basis Methode auf quadratisch nichtlineare Transportgleichungen, IAM, University of Freiburg, 2008. Zeige BibTex

Reisert, M.: Entwicklung von Algorithmen zur Lageinvarianten Merkmalsgewinnung für Drahtgittermodelle, University of Freiburg, 2004. Zeige BibTex

Vossen, A.: Invariante Kernfunktionen Basierend auf Integration über Transformationen, University of Freiburg, 2004. Zeige BibTex

Mallig, N.: Transformationswissen in Kernfunktionen für Supportvektor-Maschinen, University of Freiburg, 2003. Zeige BibTex


Teaching

Current Semester

See the teaching page.

Past Semester WS 2010/2011

Lecture Diskrete Strukturen

Seminar Angewandte Mathematik

Lab Computerpraktikum

SIMTECH-Netzwerk-Seminar Model Reduction

Institutsseminar Angewandte Analysis und Numerische Simulation

Oberseminar Angewandte Mathematik

Past Semester SS 2010

Lecture Reduzierte-Basis-Methoden

Proseminar Numerik

SIMTECH-Netzwerk-Seminar Model Reduction

Institutsseminar Angewandte Analysis und Numerische Simulation

Oberseminar Angewandte Mathematik

Past WS 2009/2010

Workshop at Fraunhofer Talentschool 2010, 12.-14.3.2010
Angewandte Mathematik: Modellierung und Simulation in Naturwissenschaften und Technik

Lecture Modellreduktion

Computerpraktikum Wissenschaftliches Rechnen

SIMTECH-Seminar Model Reduction

Institutsseminar Angewandte Analysis und Numerische Simulation

Oberseminar Angewandte Mathematik

Lecturer Position

Teaching course Digitale Bildverarbeitung, WS 05/06, SS 2006, WS 06/07, SS 2007, WS 07/08, SS 2008 at the University of Applied Sciences Offenburg, Germany

Lectures

Lecture Einführung in die Modellreduktion, SS 2009

Tutorial Kernel Methods at IFCS@GFKL2009

Lecture Modellierung und Simulation von Straßenverkehr, Mathetage, University of Münster, 5.9.2008.

Assisting lecture Einführung in die Numerische Mathematik, WS 07/08

Assisting lecture Wissenschaftliches Rechnen und Anwendungen in der Strömungsdynamik, SS 2006

Assisting lecture Mustererkennung II, SS 2002

Assisting lecture Algorithmen zur digitalen Bildverarbeitung, SS 2000

Assisting lecture Grundlagen der Bilderzeugung und Bildanalyse, WS 00/01, WS 01/02, WS 02/03

Teaching course Introduction into MATLAB, Sommercampus 2004

Teaching course Scientific Computing in C, WS 97/98

Seminars

Hauptseminar Hierarchische Lösungsstrategien, SS 2009

Oberseminar Angewandte Mathematik, Universitat Münster, WS 07/08, SS 2008, WS 08/09

Modellierung und Simulation , WS 08/09

Kernel Methods , WS 08/09

Effiziente numerische Verfahren und Modellreduktion , SS 2008

Mustererkennung mit Support-Vektor-Maschinen (SVM), WS 01/02, WS 02/03

Competitions

Mustererkennung mit Support-Vektor-Maschinen, WS 01/02, WS 02/03

Projects

Coordinating and assisting Softwarepraktikum SS 2001

Lab-Sessions

Teaching Praktikum Numerik für Partielle Differentialgleichungen I WS 08/09

Teaching Praktikum Wissenschaftliches Rechnen WS 07/08, SS 2008

Assisting Bildverarbeitungspraktikum II SS 2003, SS 2004
 

Talks

16.11.2012 Einführung in RB-Methoden für instationäre Probleme,

Technische Universität München

16.11.2012 Effiziente und gesicherte numerische Simulation durch Modellreduktion,

Universität Bonn

03.10.2012 The POD-Greedy Method: Convergence Rates, Extensions and Applications,

MoRePaS-II,Reisensburg, Günzburg

25.09.2012 Reduzierte Basis Methoden für parametrisierte partielle Differentialgleichungen,

Universität Siegen

02.07.2012 The POD-Greedy Method: Convergence Rates and Applications,

AIMS Conference,Orlando

16.05.2012 Reduzierte-Basis-Methoden für Nichtlineare Probleme,

Mathematisches Kolloquium

08.05.2012 Kernel-based Model Order Reduction for Nonlinear Parametrized Problems,

Workshop on Nonlinear MOR, Schloss Ringberg, Tegernsee

4.5.2012 Modellreduktion und Maschinelles Lernen zur Prädiktion,

Hochschule Offenburg

26.3.2012 Efficient Model Reduction of Evolution Problems with Reduced Basis Methods,

DLR Braunschweig

28.2.2012 Kernel Methods for Model Order Reduction of Nonlinear Parametrized Dynamical Systems,

Control Theory Workshop, Oberwolfach

17.2.2012 Online Reduced Basis Construction for Model Reduction of Parametrized Evolution Systems.,

MATHMOD 2012, Vienna

13.2.2012 Data-based Modelling and Model Reduction for Scientific Computing,

Wir-BaWü Meeting, Karlsruhe

16.12.2011 Reduced Basis Surrogate Models for Parameter Optimization of Evolution Problems,

Numerical Analysis Seminar, Basel

8.12.2011 Reduced Basis Surrogate Models for Parameter Optimization,

IGPM Seminar, Aachen

16.11.2011 Efficient Model Reduction of Evolution Problems with Reduced Basis Methods,

Workshop RB/POD/PGD Model Reduction Techniques: A Breakthrough in Computational Engineering?, Cachan

7.11.2011 Reduced Basis Surrogate Models for Parameter Optimization,

AG Numerik Seminar, Konstanz

28.10.2011 Empirical Operator Interpolation.,

RB-Summerschool, Günzburg

6.9.2011 A Reduced Basis Method for Parametrized Variational Inequalities,

ENUMATH 2011, Leicester, UK

24.6.2011 Adaptive Basis Generation in RB-Methods for Time Dependent Problems,

Workshop RB-Methods for high-dimensional problems, Paris

26.1.2011 Adaptive Basis Generation in Reduced Basis Methods for Parametrized Evolution Equations,

Workshop on Model Order Reduction in Optimization and Control with PDEs (MOR 2011), Berlin

8.12.2010 A Reduced Basis Method for Variational Inequalities,

Workshop on Reduced Basis Methods, Ulm

9.11.2010 Hierarchical Models for Efficient Numerical Simulation and Prediction,

Model Reduction and Machine Learning SimTech Colloquium, Stuttgart

27.7.2010 Kernel Discriminant Analysis for Positive Definite and Indefinite Kernels,

Invited COMPSTAT 2010, Paris

22.6.2010 RBmatlab: A Library for Reduced Basis Methods,

MATLAB-AG, SimTech-MOR-Seminar, Stuttgart

17.5.2010 Model Reduction of Implicit and Explicit Parametrized Nonlinear Evolution Schemes by Empirical Operator Interpolation,

ECCM 2010, Paris

22.2.2010 RBmatlab: Reduced Basis Methods for Parametrized Evolution Problems,

SimTech Multiscale Seminar, Stuttgart

6.11.2009 Reduced Basis Methods for Parametrized Evolution Problems,

Forschungsseminar Scientific Computing, Chemnitz

24.9.2009 Efficient A-Posteriori Error Estimation for Parametrized reduced Dynamical Systems,

VDI-VDI FA 1.30 Workshop, Salzburg

17.9.2009 Basis Generation by Adaptive Parameter Grids,

MoRePaS 09, Münster

26.8.2009 Reduced Basis Methods for Linear and Nonlinear Finite Volume Schemes,

IACS Seminar, EPFL Lausanne, Switzerland

22.6.2009 Reduced Basis Methods for Linear and Nonlinear Finite Volume Schemes,

ICOSAHOM 2009, Trondheim, Norway

14.5.2009 Reduced Basis Methods for Parametrized Evolution Problems,

IANS Seminar, Stuttgart

13.2.2009 Efficient Reduced Models for Parametrized Dynamical Systems by Offline/Online Decomposition,

Invited MATHMOD 2009

12.2.2009 Space-Adaptive Reduced Basis Simulation for Time-Dependent Problems,

MATHMOD 2009

6.1.2009 Reduzierte Basis Methoden zur Modellreduktion von Parametrisierten Partiellen Differentialgleichungen,

CeNoS Kolloquium Nonlinear Science, Münster

10.12.2008 Indefinite Kernel Fisher Discriminant,

ICPR 2008, Tampa, Florida

12.11.2008 Model Reduction of Parametrized Evolution Problems by Reduced Basis Methods,

Regelungstechnisches Seminar, TU München

16.7.2008 Classification with Regularized Kernel Mahalanobis Distances,

GfKl 2008, Helmut Schmidt Universität Hamburg

27.5.2008 Reduced Basis Methods for Parametrized Evolution Problems,

JP-Conference, Universität Stuttgart

15.1.2008 Reduced Basis Methods for Model Reduction of Parametrized Evolution Schemes,

Oberseminar Angewandte Mathematik, Universität Münster

24.10.2007 Basis Construction for Reduced Basis Methods with Adaptive Parameter Grids,

International Conference on Adaptive Modeling and Simulation ADMOS 2007, Göteborg

24.09.2007 Reduced Basis Method for Evolution Schemes with Parameter Dependent Explicit Operators,

Chemnitz FEM Symposium

20.4.2007 Reduced Basis Method for Finite Volume Schemes,

Aerospace Computational Design Laboratory Seminar, Massachusetts Institute of Technology

20.-21.11.2006 Combining Kernels and Distances,

Invited Kernel Combining Workshop, University of Delft

18.-20.9.2006 Reduced Basis Method for Parametrized Evolution Equations,

PEMSIM 2006, WIAS Berlin

23.6.2006 Transformation Knowledge in Pattern Analysis with Kernel Methods,

FDM-Seminar, University of Freiburg

22.4.2005 Invariance in Kernel Methods - Distance and Integration Kernels,

Departement Informatik, University of Basel

15.4.2005 Invariance in Pattern Analysis with Kernel Methods,

FhG-IPSI, Darmstadt

16.-18.3.2005 Invariance in Kernel Methods - Distance and Integration Kernels,

Machine Learning, Support Vector Machines, and Large Scale Optimization Workshop, Schloss Thurnau

21.7.2003 Feature Space Interpretation of SVM with Indefinite Kernels,

Oberseminar Bildverarbeitung, Computersehen und Computergraphik, University of Freiburg

22.1.2003 Invariance Knowledge in Kernel Functions,

MPI for Biological Kybernetics

7.-9.10.2002 Invariance Knowledge in Kernel Functions,

Schloss Dagstuhl

4.-5.12.2000 Convergence of a Staggered Lax-Friedrichs-Scheme on Unstructured 2D Grids,

Workshop on Finite-Volume Methods, Unversity of Freiburg

20.-24.3.2000 h-p Multiresolution Visualization of Adaptive Simulations,

International Springschool on Visualization, Bonn-Röttgen

1999 Konvergenz eines Staggered-Lax-Friedrichs-Verfahrens auf unstrukturierten 2D Gittern,

Oberseminar Angewandte Mathematik, University of Freiburg


Further information

Bibliometrical Data

Citations: 182 (ISI Web of Knowledge), 33 (MathSciNet)

h-index (ISI Web of Knowledge): 7

Publications: 21 (ISI Web of Knowledge), 17 (DBLP.uni-trier.de), 15 (Zentralblatt MATH), 16 (MathSciNet)

Erdös Number: 5 (Alfred Schmidt, Zhi Ming Chen, Qiang Du, Vance Faber, Paul Erdös)

Funded Projects

Principal Investigator in a project funded by the Baden Württemberg Stiftung gGmbH, MWK-BW (Juniorprofessorenprogramm), RB-Methoden für Heterogene Gebietszerlegung, 2012-2015.

Principal Investigator in a project funded by the Baden Württemberg Stiftung gGmbH, MWK-BW (Juniorprofessorenprogramm), Maschinelles Lernen zur Simulationsbasierten Modellreduktion, 2010-2013.

Principal Investigator in a project funded by the DFG within the SimTech Cluster of Excellence (JP-Anschubprojekt), KerMor: Kernel Methods for Model Order Reduction of Biochemical Systems. , 2010-2012.

Principal Investigator in a project funded by the DFG within the SimTech Cluster of Excellence, RBEvolOpt: Reduced Basis Modelling of Higher-Order Evolution Systems and Application in Optimisation, 2009-2014.

Principal Investigator (with M. Ohlberger) in a project funded by the DFG, Reduzierte Basis Methoden zur Modellreduktion für Nichtlineare Parametrisierte Evolutionsgleichungen, 2009-2012.

Organizer (with M. Ohlberger, T. Tonn and K. Urban) in a workshop funded by the DFG, MoRePaS 09, Model Reduction of Parametrized Systems, Unversity of Münster, September 16-18, 2009.

Principal Investigator in a project funded by the Landesstiftung Baden-Württemberg gGmbH, Modellreduktion zur Simulation von Transportprozessen und Anwendungen in Brennstoffzellen, 2007-2009.

Principal Investigator (with E. Pekalska) in a project funded by the DAAD, Indefinite Kernel Methods and Learning in General Proximity Spaces , 2007-2008.

In charge of BMBF sub-project for Modellbasiertes Design von Brennstoffzellen und Brennstoffzellensystemen: PEMDesign, 2005-2008.

In charge of BMBF sub-project for ULI, Universitärer Lehrverbund Informatik, 2001-2003.

  

Awards

2012: Teaching Award "Beste Vertiefungsvorlesung" of the Fachschaft Mathematik of the University of Stuttgart for the lecture "Reduced Basis Methods".

2009: Best Paper Award for the contribution: Haasdonk, B., Pekalska, E., Classification with Kernel Mahalanobis Distances. Proc. of 32nd. GfKl Conference, Advances in Data Analysis, Data Handling and Business Intelligence, 2008.
2008: Participation in the Awarded Exhibition Hightech Underground 2008

2007: DAAD-ARC research grant

2006: Admittance to the Eliteprogramm für Postdoktorandinnen und Postdoktoranden of the Landesstiftung Baden-Württemberg gGmbH

2004: Prize in SAS Mining Challenge 2003

2002: Best Paper Presentation Award for the contribution: Bahlmann, C., Haasdonk, B., Burkhardt, H., On-Line Handwriting Recognition with Support Vector Machines - A Kernel Approach. IWFHR-8, 2002. (.ps, .pdf)

2000: Förderpreis 2000 des Verbands der Freunde der Universität Freiburg for the best graduation at the Institute of Mathematics.

 

Professional Activities


Scientific Organizations

DMV, German Mathematicians Society

DAGM, German Pattern Recognition Society

IAPR, International Association for Pattern Recognition

DHV, German Association of University Professors and Lecturers

WiR-Ba-Wü, Research network for scientific computing in Baden-Württemberg.
 
CoSiMOR, Scientific Network on Scale Bridging simulation methods based on order-reduction and co-simulation
 

Research Visits
11/2013: Stanford University, California, USA
 
3/2011: Massachusetts Institute of Technology, Cambridge, USA

10/2009: University of Manchester, Manchester, UK.

8/2009: Ecole Polytechnique Lausanne, Lausanne, Switzerland.

8/2008: University of Manchester, Manchester, UK.

9/2007: University of Manchester, Manchester, UK.

4/2007-7/2007: Massachusetts Institute of Technology, Cambridge, USA.

4/2003: Max Planck Institute for Biological Kybernetics, Tübingen, Germany.
 

Workshop/Conference Organization

GAMM 2013, Minisymposium on "Model Order Reduction" at the 89th Annual GAMM Conference
Novi Sad, Serbia, March 18-22, 2013.
 
SIAM CSE 2013, Minisymposium on "Data-based and Nonlinear Model Order Reduction", Boston, MA, USA, February 25 - March 1, 2013

IANS Miniworkshop on "Minimum Energy Problems"
Stuttgart, Germany, August 17-18, 2012.

MATHMOD 2012, Minisymposium on "Model Order Reduction" at the 7th Vienna International Conference on Mathematical Modelling
Vienna, Austria, February 15-17, 2012.

CEMRACS 2011, SimTech Workshop on "Current Trends in Computational Fluid Mechanics"
Marseille, France, August 22-24, 2011.

SIAM CSE 2011, Mini-Symposium on "Model Reduction of Nonlinear and Parametrized Problems"
Reno, Nevada, February 28-March 4, 2011.

Workshop on Reduced Basis Methods,
Ulm, December 7-8, 2010.

ECCOMAS CFD 2010, Mini-Symposium on "Model Reduction in Computational Fluid Dynamics"
Lisbon, June 14-17, 2010.

MoRePaS 09, Workshop on Model Reduction of Parametrized Systems
Münster, September 16-18, 2009. (successful DFG funding)

PEMSIM2006, Workshop on Modelling and Simulation of PEM Fuel Cells
Berlin, September 18-20, 2006

Journal Referee Activities

SISC, SIAM Journal on Scientific Computing

SINUM, SIAM Journal on Numerical Analysis
 
JUQ, SIAM/ASA Journal on Uncertainty Quantification

ESAIM M2AN, Mathematical Modelling and Numerical Analysis

CRAS, Comptes Rendus de l'Acadämie des Sciences

MCMDS, Mathematical and Computer Modelling of Dynamical Systems

ZAMM, Journal of Applied Mathematics and Mechanics
 
CMAME, Computer Methods in Applied Mechanics and Engineering

IJMM, International Journal of Modern Mathematics

IEEE TPAMI, Transactions on Pattern Analysis and Machine Intelligence

IEEE TIP, Transactions on Image Processing

IEEE TNN, Transactions on Neural Networks

ACM TOIS, Transactions on Information Systems

IEEE TPDS, Transactions on Parallel and Distributed Systems

JMLR, Journal of Machine Learning Research

Neural Computation

Neurocomputing

Pattern Recognition

Pattern Recognition Letters

Pattern Analysis and Applications

IJPRAI, International Journal of Pattern Recognition and Artificial Intelligence

Information Fusion

Signal Processing

IJNS, International Journal of Neural Systems

EJOR, European Journal of Operational Research

SMCB, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

SMCC, IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews

TFS, IEEE Transactions on Fuzzy Systems

CES, Chemical Engineering Science
 

Software


Software Packages

RBMatlab: MATLAB toolbox for Reduced Basis Methods and Model Order Reduction

DUNE, DUNE-FEM, DUNE-RB: Distributed and Unified Numerics Environment

KerMet-Tools: MATLAB toolbox for invariant kernel experiments in pattern analysis.

Presto-Box: Scilab toolbox with basic pattern recognition algorithms.

libsvmTL: C++ SVM template library based on libsvm

VisAmp: plattform independent, visually controlled mp3-player

GRAPE: GRAphical Programming Environment for mathematical visualization

Datasets

Distance Matrices: Small collection of proximity data used in the DAGM2004 paper.