Institute for
Numerical Simulation

Research Group
M. Griebel

Dr. Jürgen Braun

Address:	Institut für Numerische Simulation Wegelerstr. 6 53115 Bonn Germany
Office:	We4 0.008
Phone:	+49 228 733170
E-Mail:	braunins.uni-bonn.de

Research Projects

	Cluster of Excellence: Hausdorff Center for Mathematics Project Area J: High-dimensional problems and multi-scale methods
	TR 32: Transregional Collaborative Research Centre 32 Project D5: A high-resolution multi-scale space-time precipitation model from direct measurements and remote sensing Cooperation with Prof. Dr. Clemens Simmer, Meteorological Institute, University of Bonn
	AQUARadar - Integral Radar Volume Descriptors for Quantitative Areal Precipitation Cooperation with Prof. Dr. Clemens Simmer, Meteorological Institute, University of Bonn

Teaching

• WS 2009/2010:
  Programmierpraktikum Numerische Methoden der Finanzmathematik, module P2E1
  Laboratory with Priv.-Doz. Dr. Marc Alexander Schweitzer and Dipl. Math. Ralf Wildenhues.
• WS 2009/2010:
  Practical Lab Computational Finance, module P5E1
  Laboratory with Priv.-Doz. Dr. Marc Alexander Schweitzer and Dipl. Math. Ralf Wildenhues.
• SS 2008:
  Mathematik II für Physiker, module math240
  Lecture with Prof. Dr. Mario Bebendorf and Dr. Lukas Jager.
• WS 2006/2007:
  Wissenschaftlichen Rechnen III (Scientific Computing III), module 6599
  Seminar with Prof. Dr. Angela Kunoth.
• SS 2006:
  Numerische Analysis (Numerical Analysis)
  Seminar with Prof. Dr. Angela Kunoth.
• WS 2005/2006:
  Numerische Analysis (Numerical Analysis)
  Seminar with Prof. Dr. Angela Kunoth.
• WS 2004/2005:
  Multiskalenmethoden fuer Kontrollprobleme (Multiscale Methods for Control Problems)
  Seminar with Prof. Dr. Angela Kunoth.

Publications

[1]	J. Braun. An Application of Kolmogorov's Superposition Theorem to Function Reconstruction in Higher Dimensions. Dissertation, Institut für Numerische Simulation, Universität Bonn, Dec. 2009. [ bib | .pdf 1 ]
[2]	J. Braun and M. Griebel. On a Constructive Proof of Kolmogorov's Superposition Theorem. Constructive Approximation, 30:653, 2009. Also available as SFB611 preprint no 342 / 2007. [ bib | DOI | http | .pdf 1 ]
[3]	S. Trömel, C. Simmer, J. Braun, T. Gerstner, and M. Griebel. Towards the use of Integral Radar Volume Descriptors for quantitative areal precipitation estimation - results from pseudo-radar observations. Journal of Atmospheric and Oceanic Technology, 2008. accepted. [ bib | .pdf 1 ]
[4]	J. Braun, C. Burstedde, and A. Kunoth. Computing light masks in neutral atom lithography. Journal of Computational Physics, 220(1):422-440, 2006. [ bib | .pdf 1 | Abstract ]
[5]	J. Braun. Numerische Berechnung von komplexen Lichtmasken zur atomaren Nanofabrikation. Diplomarbeit, Institut für Angewandte Mathematik, Universität Bonn, Bonn, Germany, 2004. Supervised by Prof. Angela Kunoth. [ bib | .ps.gz 1 | .pdf 1 ]
[6]	J. Braun, M. Mützel, U. Rasbach, D. Meschede, C. Burstedde, A. Kunoth, K. Peithmann, and K. Buse. Atomic nanofabrication with complex light fields. Appl. Phys. B, 77(1):1-9, 2003. [ bib | http ]

Talks

Conference contributions

[1]	A superposition model for function reconstruction from data samples in higher dimensions, High Performance Scientific Computing Simulation, Modeling and Optimization of Complex Processes, Hanoi, Vietnam, March 2-6, 2009.
[2]	A superposition model for function reconstruction in higher dimensions, AfriCOMP 2009 - African Conference on Computational Mechanics First International Conference, Sun City, South Africa, January 7-11, 2009.
[3]	A superposition model for function reconstruction in higher dimensions, ANZIAM 2008 - ANZIAM 2008, Katoomba, New South Wales, Australia, February 3-7, 2008.
[4]	A superposition model for function reconstruction, HDA07 - Second Workshop on High-dimensional Approximation, Canberra, Australia, February 19-23, 2007.

Other Talks

[1]	A superposition model for function reconstruction in higher dimensions, University of New South Wales, Sydney, Australia, February 12, 2008.