Prof. Dr. Armin Iske
Professor of Numerical Approximation
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Office
Contact
Curriculum Vitae
Positions
- since November 2012: Full Professor (W3) of Numerical Approximation, Department of Mathematics, Universität Hamburg
- 2005–2012: Professor (W2) of Numerical Approximation, Department of Mathematics, Universität Hamburg
- May/June 2010: Visiting Professor, Australian National University (ANU), Canberra (Australia); Mathematical Sciences Research Visitor Program (MSRVP)
- 2004–2005: Lecturer in Applied Mathematics, Department of Mathematics, University of Leicester (UK)
- 1998–2004: Assistant Professor (C1/C2-Assistent), Department of Mathematics, Munich University of Technology (Germany)
- June 2003: Visiting Researcher (Maître de Conférences), Department of Mathematics, University of Nantes (France)
- 1996–1998: Research Development Engineer, Hewlett-Packard Mechanical Design Division, Böblingen (Germany)
- 1995–1996: EU Postdoc and Research Scientist, Department of Informatics, University of Oslo SINTEF Applied Mathematics, Oslo (Norway)
- 1991–1995: Research Scientist, Institute for Numerical and Applied Mathematics, University of Göttingen (Germany)
University Education and Academic Degrees
- March 2003: Privatdozent, Venia Legendi in Mathematics, Munich University of Technology (Germany)
- December 2002: Dr. rer. nat. habil., Habilitation in Mathematics, Munich University of Technology (Germany)
- April 1994: Dr. rer. nat., PhD in Mathematics, University of Göttingen (Germany)
- October 1991: Dipl.-Math., University of Göttingen (Germany)
- 1986–1991: Student of Mathematics, University of Göttingen (Germany)
Scientific Talks
Invited Talks at Conferences, Workshops, and Minisymposia
Göttingen (Germany): From radial kernels to image compression and beyond. Jubiläums-Workshop on Numerical and Applied Mathematics, 50 Jahre NAM. Institute for Numerical and Applied Mathematics, University of Göttingen, 25–26 October 2019.
Bonn (Germany): Kernel-based approximation methods for data analysis and machine learning. Tenth International Workshop on Meshfree Methods for Partial Differential Equations. University of Bonn, 2–4 September 2019.
Novosibirsk (Russia): On the approximation order of generalized Godunov schemes. International Conference on Mathematics and its Applications, in honor of the 90th birthday of Sergei K. Godunov. Novosibirsk, 4–10 August, 2019.
Hasenwinkel (Germany): Model-based design of kernel approximation methods for data analysis. Mecklenburger Workshop Approximationsmethoden und schnelle Algorithmen,Hasenwinkel, 10–14 September 2018.
London (UK): Improved estimates for condition numbers of radial basis function interpolation matrices. Minisymposium on Recent Advances in Radial Basis Function Methods I. International Conference on Spectral and High Order Methods (ICOSAHOM 2018). Imperial College London, 9–13 July 2018.
Bologna (Italy): Sparse approximation of images by adaptive thinning.SIAM Conference on Imaging Science. Bologna, 5–8 June 2018.
Guangzhou (China): Model-based design of kernel approximation methods for data analysis.International Conference of Kernel-based Approximation Methods in Data Analysis. South China Normal University, Guangzhou, Guangdong, 25–27 May 2018.
Bernried (Germany): Kernel matrices with off-diagonal decay.IM-Workshop 2018 on Signals, Images, and Approximation. Bernried, 19–23 February 2018.
Bernried (Germany): Saturation rates for filtered back projection (joint work with Matthias Beckmann). IM-Workshop 2018 on Signals, Images, and Approximation. Bernried, 19–23 February 2018.
Shanghai (China): Scattered data approximation by weighted kernels.The 6th International Conference on Computational Harmonic Analysis. Fudan University, Shanghai, 24–28 May 2017.
Bernried (Germany): Scattered data approximation by weighted kernels. IM-Workshop 2017 on Signals, Images, and Approximation. Bernried, 27 February–3 March 2017.
Dagstuhl (Germany): Geometrical Methods for Adaptive Approximation of Image and Video Data. Dagstuhl Workshop on Inpainting-based Image Compression. Dagstuhl, 13–18 November 2016.
Trento (Italy): How can ADER and WENO work hand in hand?International Workshop on Recent Advances in Numerical Methods for Hyperbolic Conservation Laws and Nonlinear Time Dependent Partial Differential Equations. In Honour of the 70th Birthday of Prof. Dr. Dr. hc. Eleuterio F. Toro, OBE. Trento, Italy, 2–4 November 2016.
Alba di Canazei (Italy): Error Estimates and Convergence Rates for Filtered Back Projection. 4th Dolomites Workshop on Constructive Approximation and Applications. Alba di Canazei, Italy, 8–13 September 2016.
Shanghai (China): Error Estimates and Convergence Rates for Filtered Back Projection. International Workshop on Mathematical Data Science 2016. Fudan University, Shanghai, 20–23 May 2016.
Rauischholzhausen (Germany): Kernel-based Image Reconstruction from Radon Data. Conference on Multivariate Approximation. Schloss Rauischholzhausen, 31 March–6 April 2016.
San Diego (CA, USA): On the Construction of Meshfree Finite Volume Particle Methods for High Order Numerical Flow Simulation. Minisymposium in Memory of Ted Belytschko: Advances in Meshfree, Particle, XFEM, GFEM, and Related Methods, 13th US National Congress on Computational Mechanics. San Diego, 26–30 July 2015.
Bremen (Germany): Optimally Sparse Approximation of Signals by Adaptive Linear Splines over Anisotropic Triangulations. 36. Norddeutsches Kolloquium über Angewandte Analysis und Numerische Mathematik (NoKo 2015). Jacobs University Bremen, Germany, 24–25 May 2015.
Salt Lake City (UT, USA): Fourier-based and Kernel-based Image Reconstruction from Radon Data. Minisymposium on Advances in Radial Basis Function and Other Meshfree Methods, 2015 SIAM Conference on Computational Science and Engineering (SIAM CSE 2015). Salt Lake City, 14–18 March 2015.
Stuttgart (Germany): Ten good reasons for using kernel reconstructions in adaptive finite volume particle methods. Workshop on Recent Advances in Numerical Methods for Hyperbolic Conservation Laws, University of Stuttgart, 5–7 November 2014.
Chicago (IL, USA): Ten good reasons for using kernel reconstructions in adaptive finite volume particle methods. Minisymposium on Advances in Kernel Methods for Analysis and Statistics, 2014 SIAM Annual Meeting.Chicago, 7–11 July 2014.
Salt Lake City (UT, USA): On the construction of kernel-based adaptive particle methods in numerical flow simulation. Minisymposium on Advances in Radial Basis Function and Other Meshfree Methods, International Conference on Spectral and High Order Methods (ICOSAHOM 2014). Salt Lake City, 23–27 June 2014.
Nashville (TN, USA): Optimal N-term Approximation by Linear Splines over Anisotropic Delaunay Triangulations. The 5th International Conference on Computational Harmonic Analysis. Vanderbilt University, Nashville, 19–23 May 2014.
Bonn (Germany): Ten good reasons for using kernel reconstructions in adaptive finite volume particle methods. Seventh International Workshop on Meshfree Methods for Partial Differential Equations. University of Bonn, 9–11 September 2013.
Bordeaux (France): On the Construction of Meshfree Kernel-Based Particle Methods in High Order Numerical Flow Simulation. European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs (HONOM 2013). INRIA Bordeaux Sud-Ouest and University of Bordeaux, 18–22 March 2013.
Rostock (Germany): Kernel-based Scattered Data Approximation. 33. Norddeutsches Kolloquium über Angewandte Analysis und Numerische Mathematik (NoKo 2012). University of Rostock, 4–5 May 2012.
Oberwolfach (Germany): Adaptive ADER Methods using Kernel-based Polyharmonic Spline WENO Reconstruction. Workshop on Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws and their Use in Science and Engineering. Oberwolfach, 15–21 January 2012.
Leicester (UK): On the Stability of Kernel-based Scattered Data Approximation. Minisymposium on Approximation Theory and Radial Basis Functions. European Numerical Mathematics and Advanced Applications (ENUMATH2011). University of Leicester, 5–9 September 2011.
Hong Kong: Sparse Geometric Image Approximation by Linear Splines over Anisotropic Triangulations. The 4th International Conference on Computational Harmonic Analysis. City University Hongkong, 23–27 May 2011.
Göttingen (Germany): A Hitchhiker’s Guide through the Zoo of Radial Kernels. Workshop on Kernel Functions and Meshless Methods honoring the 65th birthday of Robert Schaback. Göttingen, 14–15 January 2011.
San Antonio (TX, USA): Geometrical Methods for Adaptive Approximation of Image and Video Data. Minisymposium Adaptive and Anisotropic Multivariate Approximation: Theory & Applications. 13th International Conference on Approximation Theory. San Antonio, 9 March 2010.
San Antonio (TX, USA): Curvature Analysis of Frequency Modulated Manifolds in Dimensionality Reduction. Minisymposium Diffusion Geometry/Approximation on Manifolds. 13th International Conference on Approximation Theory. San Antonio, 7 March 2010.
Munich (Germany): Sparse Representation of Video Data by Adaptive Tetrahedralizations. Workshop Geometrical Methods in Mathematical Imaging, Helmholtz Zentrum München, 9–10 October 2009.
Bonn (Germany): On the Construction of Meshfree Particle Methods in Flow Simulation. Fifth International Workshop on Meshfree Methods for Partial Differential Equations. University of Bonn, 17–19 August 2009.
Uppsala (Sweden): Adaptive ADER Schemes for Scalar Conservation Laws using Kernel-Based WENO Reconstructions. Minisymposium on Advanced Techniques in Radial Basis Function Approximation for PDEs, ENUMATH2009, University of Uppsala, 29 June–3 July 2009.
Göttingen (Germany): High Order Finite Volume Discretizations using Kernel-Based Reconstruction Methods. Workshop on Positive Definite Functions in Numerical Analysis and Statistics, University of Göttingen, 18–20 September 2008.
Stellenbosch (South Africa): Scattered Data Approximation by Radial Basis Functions. The 31st Annual Conference of SANUM (South African Society for Numerical and Applied Mathematics), University of Stellenbosch, 2–4 April 2007.
Alba di Canazei (Italy): Multiscale Flow Simulation by Adaptive Particle Methods. The First Dolomites Workshop on Constructive Approximation and Applications. Alba di Canazei, 8–12 September 2006.
Chester (UK): Multiscale Flow Simulation by Adaptive Particle Methods. A4A5 – The Fifth International Conference on Algorithms for Approximation. University College Chester, 18–22 July 2005.
Lisbon (Portugal): Multiscale Flow Simulation by Meshless Particle Methods. ECCOMAS Thematic Conference on Meshless Methods. LNEC Lisbon, 11–14 July 2005.
Santander (Spain): A Novel Concept for Image Compression by Linear Splines over Adaptive Triangulations. Minisymposium on Image and Signal Processing, held atFoCM’05 – Foundations of Computational Mathematics. Universidad de Cantabria, 4–6 July 2005.
Leicester (UK): Multiscale Particle Simulation by using Radial Basis Functions, Workshop on Radial Basis Function Methods and Applications, Department of Mathematics, University of Leicester, 23 February 2005.
Cambridge (UK): Multiresolution Methods in Geometric Modelling, Workshop on Geometric Modelling, Schlumberger Cambridge Research, 4 November 2004.
Eindhoven (The Netherlands): Two-Phase Flow Simulation by AMMoC, an Adaptive Meshfree Method of Characteristics. Minisymposium on Multiscale Methods for Flow in Porous Media, held atECMI2004 – The 13th European Conference on Mathematics for Industry. Eindhoven University of Technology, 21–25 June 2004.
Tehran (Iran): Multiscale Simulation of Two-Phase Flow in Porous Media by Meshfree Particle Methods. International Workshop on Efficient Techniques for Numerical Solutions of Coupled PDE’s and Applications to Reservoir Simulation, Institute for Studies in Theoretical Physics and Mathematics (IPM), December 14–17 2003.
Lisbon (Portugal): Meshfree Lagrangian Advection Schemes for the Numerical Simulation of Transport Processes, International Workshop on MeshFree Methods, 21–23 July 2003.
Oslo (Norway): Hierarchical Scattered Data Filtering for Multilevel Interpolation Schemes, Minisymposium on Scattered Data Modelling, held at The Fifth International Conference on Mathematical Methods for Curves and Surfaces, 29 June–4 July 2000.
Florence (Italy): Scattered Data Modelling by using Radial Basis Functions, Minisymposium on Approximation of Curves and Surfaces, University of Florence, 9 June 2000.
Oberwolfach (Germany): A Grid-Free Adaptive Advection Scheme Using Radial Basis Functions,Workshop Gitterlose Diskretisierungen für partielle Differentialgleichungen, 17 April 2000.
Lillehammer (Norway): Detection of Discontinuities in Scattered Data Approximation, Minisymposium on Aspects of Software Development in CAGD, held at The Fourth International Conference on Mathematical Methods for Curves and Surfaces, 3–8 July 1997.
Chamonix (France): Generating Uniform Subsets of Scattered Data for Approximation,Minisymposium on Radial Basis Function Interpolation, held at The Third International Conference on Curves and Surfaces, 27 June–3 July 1996.
Montecatini (Italy): Scattered Data Analysis and Compactly Supported Radial Basis Functions, International Workshop on Multivariate Approximation and Interpolation, 27 September–3 October 1995.
Invited Tutorial Lectures
Lund (Sweden): Approximation. Seminar Course on Numerical Analysis, University of Lund, 10–13 April 2017.
L’Aquila (Italy): Kernel-based Reconstruction from Scattered Seismic Data. Intensive Programme (IP) on Mathematical Models in Seismology, L’Aquila, 8–19 July 2013.
Padova (Italy): Kernel-based Scattered Data Approximation. Department of Mathematics, University of Padova, 6–7 March 2013.
Lyngby (Denmark): Dimensionality Reduction Methods for the Analysis of High-Dimensional Signal Data. DTU, Lyngby, 4–7 June 2012.
Padova (Italy): Kernel-based Scattered Data Approximation. Department of Mathematics, University of Padova, 20–22 March 2012.
L’Aquila (Italy): Kernel-based Reconstruction from Scattered Seismic Data. Intensive Programme (IP) on Mathematical Models in Seismology, L’Aquila, 11–15 July 2011.
Alba di Canazei (Italy): Adaptive Approximation Methods for Signal Data Processing. Dolomites Research Week on Approximation 2010 (DRWA10), Alba di Canazei, 6–9 September 2010.
L’Aquila (Italy): Mathematical Methods in Medical Image Reconstruction. Intensive Programme (IP) on Mathematical Models in Life and Social Sciences, L’Aquila, 26–29 April 2010.
L’Aquila (Italy): New Trends in Adaptive Data Compression with Applications to Medical Imaging, Neuro and Biosciences. Intensive Programme (IP) on Mathematical Models in Life and Social Sciences, L’Aquila, 6–19 July 2008.
Zürich (Switzerland) (joint work presented by Nira Dyn): Image Compression by Linear Splines over Adaptive Triangulations. Zurich IHP Summer School 2004 Multiscale Geometric Data Representation – Complexity, Analysis and Applications, ETH Zurich, 30 August–3 September 2004.
Tehran (Iran): Scattered Data Modelling by Using Radial Basis Functions. International Workshop on Efficient Techniques for Numerical Solutions of Coupled PDE’s and Applications to Reservoir Simulation, Institute for Studies in Theoretical Physics and Mathematics (IPM), 14–17 December 2003.
Bergen (Norway): Scattered Data Modelling: Basics, Advanced Topics, and Applications. NORSIG2003 – The Norwegian Signal Processing Symposium, 2–4 October 2003.
Turin (Italy): Radial Basis Functions: Basics, Advanced Topics and Recent Techniques for Solving Differential Equations, Spline Functions and Radial Functions: Applications to Integral and Differential Problems, GNCS meeting, University of Turin, 6 February 2003.
Munich (Germany): Scattered Data Modelling using Radial Basis Functions, European Summer School Principles of Multiresolution in Geometric Modelling, Munich University of Technology, 22–30 August 2001.
Invited Talks at Host Institutions
Rostock (Germany): Kernel-based approximation methods for data analysis and machine learning. (online) Kolloquium, Institut für Mathematik, University of Rostock, 15 April 2020.
Saarbrücken (Germany): Kernel-based Scattered Data Approximation. Mathematisches Kolloquium, Saarland University, 14 July 2017.
Bayreuth (Germany): Error Estimates and Convergence Rates for Filtered Back Projection. Mathematisches Kolloquium, University of Bayreuth, 29 June 2017.
Passau (Germany): Image Approximation by Adaptive Thinning. IM-Kolloquium, University of Passau, 27 June 2017.
Kiel (Germany): Error Estimates and Convergence Rates for Filtered Back Projection. Kolloquium, Technische Fakultät, Kiel University, 12 May 2017.
Fribourg (Switzerland): Kernel-based Scattered Data Approximation. Colloquium, Department of Mathematics, University of Fribourg, 4 April 2017.
Darmstadt (Germany): Ten good reasons for using kernel reconstructions in adaptive finite volume particle methods. Colloquium, Department of Mathematics, TU Darmstadt, 14 December 2016.
Lund (Sweden): Kernel-based Scattered Data Approximation. Numerical Analysis Seminar, University of Lund, Sweden, 20 April 2016.
Chemnitz (Germany): Ten good reasons for using kernel reconstructions in adaptive finite volume particle methods. Scientific Computing Seminar, Faculty of Mathematics, TU Chemnitz, 23rd October 2015.
Basel (Switzerland): Ten good reasons for using kernel reconstructions in adaptive finite volume particle methods. Department of Mathematics, University of Basel, 21 November 2014.
Oldenburg (Germany): Adaptive ADER Methoden zur numerischen Simulation von nichtlinearen Transportprozessen. Department of Mathematics, University of Oldenburg, 28 January 2013.
Sussex (UK): Optimally Sparse Image Representations by Linear Splines over Anisotropic Delaunay Triangulations. Department of Mathematics, University of Sussex, 11 October 2012.
Lyngby (Denmark): Algebraic Medical Image Reconstruction from Scattered Radon Data by Positive Definite Kernels. DTU, Lyngby, 7 June 2012.
Osnabrück (Germany): Optimal N-term Approximation by Linear Splines over Anisotropic Delaunay Triangulations. Department of Mathematics, University of Osnabrück, 13 April 2012.
Oxford (UK): On the Stability of Kernel-based Scattered Data Approximation. OCCAM seminar, University of Oxford, 4 April 2012.
Padova (Italy): Mathematical Methods in Medical Image Reconstruction. Seminario NumLab, University of Padova, 21 March 2012.
Frankfurt/Main (Germany): Adaptive ADER Methods using Kernel-based Polyharmonic Spline WENO Reconstruction. University of Frankfurt, 3 February 2012.
Stuttgart (Germany): On the Construction of Kernel-Based Particle Methods in Meshfree Flow Simulation. Institut für Chemische Verfahrenstechnik, University of Stuttgart, 7 December 2011.
Osnabrück (Germany): Sparse Geometric Image Approximation by Linear Splines over Anisotropic Triangulations. Colloquium, Department of Mathematics, University of Osnabrück, 9 November 2011.
Göttingen (Germany): Scattered Data Approximation by Positive Definite Kernel Functions. Runge-Herglotz-Seminar, University of Göttingen, 27 June 2011.
Brighton (UK): Adaptive ADER Methods using Kernel-based Polyharmonic Spline WENO Reconstruction. Maths and Applications Sussex Seminar (MASS), University of Sussex, 3 March 2011.
Turin (Italy): Kernel-based Scattered Data Approximation. Lezione Lagrangiana, University of Turin, 23 February 2011.
Bonn (Germany): Adaptive ADER Methoden zur numerischen Simulation von nichtlinearen Transportprozessen. University of Bonn, 8 December 2010.
Hamburg (Germany): Adaptive Partikelmethoden zur numerischen Simulation von nichtlinearen Transportprozessen. Hamburg University of Technology, 25 October 2010.
Glasgow (Scotland, UK): Scattered Data Approximation by Radial Basis Functions. Mathematics Colloquium, University of Strathclyde, Glasgow, 13 October 2010.
Barcelona (Spain): Kernel-based Reconstruction of Medical Images from Scattered CT Scans. Colloquium of the Mathematical Department, Universitat Autònoma de Barcelona, 22 September 2010.
Canberra (Australia): Scattered Data Approximation by Radial Basis Functions. Mathematical Sciences Institute (MSI) Colloquium, The Australian National University (ANU), Canberra, 3 June 2010.
Passau (Germany): Geometrische Methoden zur adaptiven Approximation von digitalen Bild- und Videodaten. Fakultät für Informatik und Mathematik, University of Passau, 13 January 2010.
Neuherberg (Germany): Analysis of High-Dimensional Signal Data by Manifold Learning and Convolution Transforms. IBB Kolloquium – Institut für Biomathematik und Biometrie, Helmholtz Zentrum München, 16 April 2009.
Würzburg (Germany): Adaptive Partikelmethoden zur numerischen Simulation von Mehrskaligkeitsphänomenen in nichtlinearen Transportprozessen. Institut für Mathematik, University of Würzburg, 15 April 2009.
Kiel (Germany): Adaptive Partikelmethoden zur numerischen Simulation von nichtlinearen Transportprozessen. Technische Fakultät, Kiel University, 25 April 2008.
Greifswald (Germany): Scattered Data Reconstruction by Polyharmonic Splines – Local Approximation Order and Numerical Stability – Kolloquium, Institut für Mathematik und Informatik, University of Greifswald, 22 January 2008.
Neuherberg (Germany): Scattered Data Reconstruction by Polyharmonic Splines – Local Approximation Order and Numerical Stability – IBB Kolloquium – Institut für Biomathematik und Biometrie, GSF-Forschungszentrum für Umwelt und Gesundheit, 17 October 2007.
Duisburg (Germany): Scattered Data Reconstruction by Polyharmonic Splines: Local Approximation Order and Numerical Stability. Oberseminar Rhein-Ruhr, University of Duisburg-Essen, 6 July 2007.
Marseille (France): Multiscale Flow Simulation by Adaptive Particle Methods. Universite de Provence, 15 February 2007.
Hamburg (Germany): Mehrskalensimulation mit adaptiven Partikelmethoden. Seminar Mechanik, Institut für Modellierung und Berechnung, Hamburg University of Technology, 8 May 2006.
Lübeck (Germany): Bildkompression mit linearen Splines über adaptiven Triangulierungen. Kolloquium, Institut für Mathematik, University of Lübeck, 18 January 2006.
Kassel (Germany): Adaptive Partikelmethoden zur Numerischen Simulation von Transportprozessen. Fachbereichskolloquium Mathematik, University of Kassel, 21 November 2005.
Paderborn (Germany): Gitterfreie Advektionsmethoden zur Numerischen Simulation von Transportprozessen. Institut für Mathematik, Paderborn University, 30 June 2005.
Reading (UK): On the Approximation Order and Numerical Stability of Local Lagrange Interpolation by Polyharmonic Splines. Applied Mathematics and Numerical Analysis Seminar, Department of Mathematics, The University of Reading, 20 May 2005.
Siegen (Germany): Gitterfreie Advektionsmethoden zur Numerischen Simulation von Transportprozessen. Fachbereich Mathematik, University of Siegen, 12 April 2005.
Hamburg (Germany): Gitterfreie Advektionsmethoden zur Numerischen Simulation von Transportprozessen. Fachbereich Maschinenbau, Helmut Schmidt University Hamburg, 25 February 2005.
Cambridge (UK): On the Approximation Order and Numerical Stability of Local Lagrange Interpolation by Polyharmonic Splines. Numerical Analysis Seminar, Department of Applied Mathematics and Theoretical Physics (DAMTP), University of Cambridge, 17 February 2005.
Hamburg (Germany): Gitterfreie Advektionsmethoden zur Numerischen Simulation von Transportprozessen. Fachbereich Mathematik, Universität Hamburg, 25 January 2005.
Ulm (Germany): Gitterfreie Advektionsmethoden zur Numerischen Simulation von Transportprozessen. Fakultät für Mathematik und Wirtschaftswissenschaften, Ulm University, 22 December 2004.
St. Augustin (Germany): Mehrskalensimulation mit adaptiven Partikelmethoden. Forschungsseminar Wissenschaftliches Rechnen, Fraunhofer Institut Algorithmen und Wissenschaftliches Rechnen. 15 December 2004.
Cologne (Germany): Gitterfreie Advektionsmethoden zur Numerischen Simulation von Transportprozessen. Mathematisches Kolloquium, University of Cologne, 29 October 2004.
Saarbrücken (Germany): Gitterfreie Advektionsmethoden zur Numerischen Simulation von Transportprozessen. Saarland University, 2 September 2004.
Trento (Italy): On the Approximation Order and Numerical Stability of Local Lagrange Interpolation by Polyharmonic Splines. Department of Mathematics, University of Trento, 22 March 2004.
Leicester (England): Multiscale Simulation of Two-Phase Flow in Porous Media by Meshfree Particle Methods, Department of Mathematics and Computer Science, University of Leicester, 28 November 2003.
Konstanz (Germany): Adaptive Thinning with Application to Image Compression and Geometric Modelling, Multimedia Signal Processing, University of Konstanz, 10 November 2003.
Munich (Germany): Ausgewählte Mathematische Methoden des Computer-Aided Design. Fachhochschule München, Fachbereich Maschinenbau/Fahrzeugtechnik/Flugzeugtechnik, 29 October 2003.
Rostock (Germany): Gitterfreie Advektionsmethoden zur Numerischen Simulation von Transportprozessen. Mathematisches Kolloquium, University of Rostock, 15 October 2003.
Groningen (The Netherlands): Meshfree Lagrangian Advection Schemes for the Numerical Simulation of Transport Processes, Department of Mathematics, University of Groningen, 20 August 2003.
Basel (Switzerland): Adaptive Gitterfreie Advektionsmethoden zur Numerischen Simulation von Transportprozessen, Mathematisches Institut, University of Basel, 26 June 2003.
Nantes (France): Adaptive Meshfree Advection Schemes for the Numerical Simulation of Transport Processes, Dépt. Mathématiques, Université de Nantes, 19 June 2003.
Vienna (Austria): Adaptive Gitterfreie Advektionsmethoden zur Numerischen Simulation von Transportprozessen, Institut für Angewandte und Numerische Mathematik, TU Wien, 10 June 2003.
Stavanger (Norway): Adaptive Lagrangian Methods for the Numerical Simulation of Transport Processes, Schlumberger Stavanger Research, 1 April 2003.
Verona (Italy): Scattered Data Approximation by using Radial Basis Functions, Faculty Seminar, Computer Science Department, University of Verona, 25 February 2003.
Braunschweig (Germany): Adaptive Advektionsmethoden zur numerischen Simulation von Transportprozessen, Institut für Angewandte Mathematik, TU Braunschweig, 20 January 2003.
Neubiberg (Germany): Adaptive Mehrskalenmethoden zur numerischen Approximation unstrukturierter Daten, Kolloquium Mathematik – Grundlagen und Anwendungen in Bauingenieurwesen und Geodäsie, Institut für Mathematik und Bauinformatik, Universität der Bundeswehr München, 1 October 2002.
Abingdon (England): Multiresolution Methods in Scattered Data Modelling, Schlumberger Abingdon Technology Center, 25 February 2002.
Göttingen (Germany): Gitterfreie adaptive Advektionsmethoden zur numerischen Behandlung von Transportproblemen, Kolloquium über Angewandte Mathematik, Institut für Numerische und Angewandte Mathematik, University of Göttingen, 13 November 2001.
Leicester (England): Thinning Algorithms in Scattered Data Modelling, Department of Mathematics and Computer Science, University of Leicester, 22 March 2001.
Huddersfield (England): Thinning Algorithms in Scattered Data Modelling, School of Computing and Mathematics, University of Huddersfield, 21 March 2001.
Leicester (England): Grid-Free Adaptive Semi-Lagrangian Advection using Radial Basis Functions, MMC Colloquium, Spring 2001 Series, The Centre for Mathematical Modelling, University of Leicester, 9 March 2001.
Kaiserslautern (Germany): Ein gitterfreies adaptives Advektionsschema unter Verwendung von radialen Basisfunktionen, Fraunhofer Institut Techno- und Wirtschaftsmathematik, 30 January 2001.
Neuherberg (Germany): Multilevel-Interpolation von unstrukturierten multivariaten Daten mit radialen Basisfunktionen, IBB Kolloquium – Institut für Biomathematik und Biometrie, GSF-Forschungszentrum für Umwelt und Gesundheit, 15 December 1999.
Tel-Aviv (Israel): Perfect Centre Sets for Radial Basis Function Methods, Tel-Aviv University, 19 April 1999.
Vienna (Austria): Praktische Aspekte bei der Interpolation mit Radialen Basisfunktionen, University of Vienna, 23 September 1998.
Berlin (Germany): Hierarchische Interpolation mit Radialen Basisfunktionen, Konrad-Zuse-Zentrum für Informationstechnik Berlin, 10 March 1998.
Zaragoza (Spain): Scattered Data Analysis and Industrial Applications, Seminario de Matematica Aplicada, Universidad de Zaragoza, 30 November 1995.
Linz (Austria): Multivariate Interpolation mit Radialen Basisfunktionen, Institut für Industriemathematik, Johannes Kepler University Linz, 2 August 1995.
Oslo (Norway): Multivariate Interpolation using Radial Basis Function Methods, Institutt for informatikk, Universitetet i Oslo, 8 May 1995.
Other Invited Talks
Hamburg (Germany): Kern-basierte Approximationsmethoden in bildgebenden Verfahren der Medizin. Mathematische Modellierung in den Natur-, Technik und Gesellschaftswissenschaften, Allgemeines Vorlesungswesen, Universität Hamburg, 16 May 2011.
Hamburg (Germany): Adaptive Partikelmethoden zur numerischen Lösung von hyperbolischen Erhaltungsgleichungen. Physikalische Kolloquium, Universität Hamburg, 18 Juni 2009.
Hamburg (Germany): Adaptive Extraktion signifikanter Informationen zur effizienten Datenkompression - Überzeugende Qualität zu unschlagbar günstigen Preisen! Festvortrag zum MIN-Fakultätskolloquium anlässlich des Dekanswechsels. Universität Hamburg, 1 April 2009.
Hamburg (Germany): Weniger ist mehr - mehr oder weniger! Effiziente Datenreduktion und Anwendungen. Festvortrag, Absolventenfeier, Department of Mathematics, Universität Hamburg, 7 Februar 2007.
Hamburg (Germany): Über Probleme bei der optimalen Standortbestimmung, deren mögliche Lösungsmethoden und weitere Anwendungen (German-speaking PDF), Mathematische Gesellschaft in Hamburg, 28 April 2006.
Hamburg (Germany): Bildkompression mit linearen Splines,Mathematische Modellierung in den Natur-, Technik und Gesellschaftswissenschaften, Allgemeines Vorlesungswesen, Universität Hamburg, 11 April 2006.
Contributed Talks at Conferences and Workshops
Plön (Germany): Model-based design of kernel approximation methods for data analysis. YRM & CSE 2018 Workshop Recent trends and future developments in Computational Science & Engineering, Plön, 18–21 March 2019.
Plön (Germany): Kernel matrices with off-diagonal decay. YRM & CSE 2018 Workshop Recent trends and future developments in Computational Science & Engineering, Plön, 26–28 March 2018.
Oslo (Norway): On the Construction of Meshfree Finite Volume Particle Methods. 2017 International Conference on Computational Science and Engineering – Software, Education, and Biomedical Applications. Oslo, 23–25 October, 2017.
Bremen (Germany): Image approximation by adaptive thinning. GAMM Workshop Mathematical Signal Processing and Data Analysis, University of Bremen, 18–20 September, 2017.
Plön (Germany): Scattered data approximation by weighted kernels. CSE 2017 Workshop Recent trends and future developments in Computational Science & Engineering, Plön, 22–24 March 2017.
Albuquerque (NM, USA): Sparse Approximation of Images by Adaptive Thinning. SIAM Conference on Imaging Science. Albuquerque, New Mexico, USA, 23–26 May 2016.
Lübeck (Germany): Kernel-based Image Reconstruction from Radon Data. 37. Norddeutsches Kolloquium über Angewandte Analysis und Numerische Mathematik (NoKo 2016). University of Lübeck, Germany, 22–23 April 2016.
Washington, D. C. (USA): Optimally Sparse Image Approximation by Adaptive Linear Splines over Anisotropic Triangulations, SampTA2015 – 11th International Conference on Sampling Theory and Applications, 25–29 May, 2015.
Plön (Germany): Optimal N-term Approximation by Linear Splines over Anisotropic Delaunay Triangulations. CSE 2015 Workshop Recent trends and future developments in Computational Science & Engineering, Plön, 11–13 March 2015.
Plön (Germany): On the Construction of Kernel-Based Adaptive Particle Methods in Numerical Flow Simulation. CSE 2014 Workshop Recent trends and future developments in Computational Science & Engineering, Plön, 26–28 March 2014.
Hasenwinkel (Germany): Kernbasierte Rekonstruktionsmethoden in der medizinischen Bildverarbeitung. Mecklenburger Workshop Approximationsmethoden und schnelle Algorithmen, Hasenwinkel, 20–23 June 2013.
Gleichen-Reinhausen (Germany): Optimal N-term Approximation by Linear Splines over Anisotropic Delaunay Triangulations. Workshop Advances in Mathematical Image Processing. Akademie Waldschlösschen, 4–6 September 2012.
Singapore: On the Stability of Polyharmonic Spline Reconstruction. The 9th International Conference on Sampling Theory and Applications (SampTA 2011). Singapore, 2–6 May 2011.
Trento (Italy): Adaptive ADER Methods using Kernel-based Polyharmonic Spline WENO Reconstruction. European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs: Theory and Applications (HONOM 2011). University of Trento, 11–14 April 2011.
Berlin (Germany): Adaptive Approximation Algorithms for Sparse Data Representation. SPP-JT09: First Annual Meeting of SPP 1324. ZIB, Berlin, 5–6 November 2009.
Alba di Canazei (Italy): Analysis of High-Dimensional Signal Data by Manifold Learning and Convolution Transforms. 2nd Dolomites Workshop on Constructive Approximation and Applications. Alba di Canazei (Italy), 4–9 September 2009.
Ambleside (UK): Sparse Representation of Video Data by Adaptive Tetrahedralizations. A4A6 – Algorithms for Approximation VI. Ambleside (UK), 31 August–4 September 2009.
Sydney (Australia): Analysis of High-Dimensional Signal Data by Manifold Learning and Convolution Transforms. HDA09 - 3rd International Workshop on Highdimensional Approximation. University of New South Wales, Sydney, 16–20 February 2009.
Hasenwinkel (Germany): Adaptive Approximation digitaler Bilder. Mecklenburger Workshop Approximationsmethoden und schnelle Algorithmen, Hasenwinkel, 6–8 June 2008.
Avignon (France): Multiscale Scattered Data Reconstruction by Radial Basis Functions, The Sixth SMAI-AFA Conference on Curves and Surfaces, Avignon, 29 June–5 July 2006.
Luxembourg: Two-Phase Flow Simulation by Multiscale Particle Methods, 76. Jahrestagung der Gesellschaft für Angewandte Mathematik und Mechanik e. V., Sektion Numerical Analysis, Université du Luxembourg, 28 March–1 April 2005.
Bonn (Germany): On the Stability of Multiscale Particle Methods in Meshfree Flow Simulation, Second International Workshop Meshfree Methods for Partial Differential Equations, University of Bonn, 15–17 September 2003.
Strobl (Austria): On the Numerical Stability of Scattered Data Interpolation by Polyharmonic Splines, SampTA03 – The Fifth International Conference on Sampling Theory and Applications, 26–30 May 2003.
Cancun (Mexico): Multilevel Scattered Data Approximation by Adaptive Domain Decomposition, Third International Conference Multivariate Approximation: Theory and Applications, 24–29 April 2003.
Bommerholz (Germany): On the Local Approximation Order of Scattered Data Interpolation by Polyharmonic Splines, Fifth International Conference on Multivariate Approximation, 22–27 September 2002.
St. Malo (France): Adaptive Thinning for Bivariate Scattered Data, Fifth International Conference on Curves and Surfaces, 27 June–3 July 2002.
Vienna (Austria): Adaptive Sampling: Computational Techniques and Applications, 2nd International Gabor Workshop, University of Vienna, 3–7 December 2001.
Bonn (Germany): An adaptive meshfree method of backward characteristics, International Workshop Meshfree Methods for Partial Differential Equations, University of Bonn, 11–14 September 2001.
Orlando (FL, USA): Optimal Recovery Spaces for Irregular Sampling and their Generating Functions, SampTA2001 – An International Conference on Sampling Theory and Applications, 13–17 May 2001.
Braunschweig (Germany): Grid-free Adaptive Semi-Lagrangian advection using radial basis functions, GAMM Workshop, Discrete Modelling and Discrete Algorithms in Continuum Mechanics, TU Braunschweig, 24–25 November 2000.
Dresden (Germany): Ein gitterfreies adaptives Advektionsschema unter Verwendung von radialen Basisfunktionen, DMV Jahrestagung 2000, Sektion Numerische Mathematik/Wissenschaftliches Rechnen/Industriemathematik, 18–22 September 2000.
Loen (Norway): Reconstruction of Smooth Signals from Irregular Samples by using Radial Basis Function Approximation, SampTA'99 – 1999 International Workshop on Sampling Theory and Applications, 11–14 August 1999.
College Station (TX, USA): Scattered Data Reconstruction and Radial Basis Function Interpolation Methods, Eighth Texas International Conference on Approximation Theory, 7–12 January 1995
Ulvik (Norway): Characterization of Conditionally Positive Definite Functions, Third International Conference on Mathematical Methods in Computer Aided Geometric Design, 16–21 June 1994.
Talks at Project Meetings
Bremen (Germany): On the Construction of Meshfree Finite Volume Particle Methods. TRR181/M-Day2017, Jacobs University, 13–14 October 2017.
Santa Margherita (Italy): On Thinning Algorithms, Local Polyharmonic Spline Interpolation, and Meshfree Methods for Solving Transport Problems, MINGLE annual meeting, Santa Margherita, 28 February 2003.
Stavanger (Norway): NetAGES annual meeting, Schlumberger Stavanger Research, 19 June 2001.
Grenoble (France): Thinning Algorithms for Multiresolution in Scattered Data Modelling, MINGLE annual meeting, 18–19 January 2001.
Stavanger (Norway): NetAGES kick-off meeting, Schlumberger Stavanger Research, 9 November 2000.
Nachsholim (Israel): Thinning Algorithms in Scattered Data Modelling, MINGLE kick-off meeting, 29 March 2000.
Examinations
Munich (Germany): Das Waringsche Problem, Habilitationskolloquium, Fakultät für Mathematik, Technische Universität München, 4 December 2002.
Munich (Germany): Gitterfreie adaptive Advektionsmethoden zur numerischen Behandlung von Transportproblemen, Fakultätskolloquium (Vorstellung als Cand. habil.), Zentrum Mathematik, Technische Universität München, 29 January 2002.
Boards and Committees
Editorial Boards
- Sampling Theory, Signal Processing, and Data Analysis, Springer. Editorial Board Member.
- Mathematical Foundations of Computing (MFC). American Institute of Mathematical Sciences (AIMS). Associate Editor.
- Computational and Applied Mathematics (COAM), Springer. Associate Editor.
- International Journal on Wavelets, Multiresolution and Information Processing (IJWMIP), World Scientific. Associate Editor.
- Journal of Mathematics in Industry, Springer. Editorial Board Member.
- Springer Undergraduate Texts in Mathematics and Technology (SUMAT), Book Series Editorial Board Member.
- Dolomites Research Notes on Approximation (DRNA), Editorial Board Member.
- Sampling Theory in Signal and Image Processing (STSIP), Sampling Publishing, ISSN: 1530-6429.
- Annals of the Marie Curie Fellowship Association, MCFA, Brussels.
Book Series Editorial Board
- Springer Undergraduate Texts in Mathematics and Technology (SUMAT), Springer-Verlag.