Completed Projects

• Fast algorithms for efficient signal representations (2010-2013)
  DFG Research Training Group (RTG 1023) (Identification in mathematical models)

Teaching

• Research seminar: Numerical Analysis (English) (SS 2013)
  Wednesday 12.30 - 14.00, Seminarraum NAM (2 SWS)
  
• Research seminar: Numerical Analysis (English) (WS 2012/2013)
  Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)
  
• Research seminar: Numerical Analysis (English) (SS 2012)
  Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)
  
• Research seminar: Numerical Analysis (English) (WS 2011/2012)
  Thursday 12.30 - 14.00, Seminarraum NAM (2 SWS)
  
• Exercises: Numerische Methoden der Signal- und Bildverarbeitung (German) (SS 2011)
  Monday 16.15 - 17.45, Seminarraum NAM (2 SWS)
  
• Research seminar: Numerische Analysis (German) (SS 2011)
  Thursday 12.30 Uhr - 14.00 Uhr, Seminarraum NAM (2 SWS)
  
• Exercises: Numerische Mathematik II (German) (SS 2011)
  Thursday 16.15 - 17.45, Seminarraum NAM (2 SWS)
  
• Research seminar: Numerische Analysis (German) (WS 2010/2011)
  Thursday 12.30 Uhr - 14.00 Uhr, Seminarraum NAM (2 SWS)
  
• Exercises: Numerik I (German) (WS 2010/2011)
  Wednesday 14.00 - 15.30, MN 67 (2 SWS)
  

Workshops

• Summer School on Applied Analysis 2013
  September 23 - 27, 2013 in Chemnitz
• Mecklenburger Workshop über Approximationsmethoden und schnelle Algorithmen (Talk)
  June 20 - 23, 2013 in Hasenwinkel
• Workshop: Structured Function Systems and Applications
  February 24 - March 02, 2013 in Oberwolfach
• 23. Rhein-Ruhr-Workshop (Poster)
  February 01 - 02, 2013 in Bestwig
• Goslar Workshop 2012 (Talk)
  October 17 - 19, 2012 in Goslar (Annual Workshop of the RTG 1023)
• Advances in Mathematical Image Processing (Talk)
  September 04 - 06, 2012 in Göttingen
• 33. Norddeutsches Kolloquium über Angewandte Analysis und Numerische Mathematik
  May 04 - 05, 2012 in Rostock
• GAMM Annual Conference 2012 (Talk)
  March 26 - 30, 2012 in Darmstadt
• 22. Rhein-Ruhr-Workshop (Talk)
  Februar 03 - 04, 2012 in Bestwig
• Goslar Workshop 2011 (Talk)
  October 12 - 14, 2011 in Goslar (Annual Workshop of the RTG 1023)
• 21. Rhein-Ruhr-Workshop (Talk)
  Februar 04 - 05, 2011 in Königswinter
• Goslar Workshop 2010 (Talk)
  October 04 - 06, 2010 in Goslar (Annual Workshop of the RTG 1023)

Publications

• Prony's Method for Multivariate Signals
  Thomas Peter, Gerlind Plonka, Robert Schaback
  Proc. Appl. Math. Mech. Volume 15, Issue 1, pp. 665-666, October 2015 (DOI: 10.1002/pamm.201510322, preprint as download)
• Generalized Prony Method
  Thomas Peter
  Dissertation, 2013 (published in Der Andere Verlag, 2014)
• A generalized Prony method for reconstruction of sparse sums of eigenfunctions of linear operators
  Thomas Peter, Gerlind Plonka
  Inverse Problems 29, 2013 (025001, revised preprint as download)
• Representation of sparse Legendre expansions
  Thomas Peter, Gerlind Plonka, Daniela Rosca
  Journal of Symbolic Computation 50, 2013 (159-169, preprint as download)
• Approximation by k-sparse sums of eigenfunctions of linear operators
  Thomas Peter, Gerlind Plonka
  Oberwolfach Reports 31/2012, 2012 (16-18, pdf as download)
• Sparse deconvolution methods for ultrasonic NDT
  Florian Boßmann, Gerlind Plonka, Thomas Peter, Oliver Nemitz, Till Schmitte
  Journal of Nondestructive Evaluation 31(3), 2012 (225-244, open access, revised preprint as download)
• Nonlinear approximation by sums of exponentials and translates
  Thomas Peter, Daniel Potts, Manfred Tasche
  SIAM J. Sci. Comput. 33(4), 2011 (1920-1947, preprint as download)
• Parameterbestimmung bei anharmonischen Fouriersummen mittels approximativer Prony-Methode
  Thomas Peter
  Universität Rostock, Institut für Mathematik, Oktober 2009 (Diplomarbeit, Betreuer: Prof. Dr. Manfred Tasche)