Institut für Geometrie und Praktische Mathematik

Prof. Dr. Sebastian Noelle Division of Numerical Mathematics IGPM, RWTH Aachen +49 - 241 - 809 3953 +49 - 241 - 809 2317 (fax) noelle@igpm.rwth-aachen.de

Research Interests

• Analysis and Numerical Analysis of PDEs
• Hyperbolic Systems of Conservation Laws
• High Resolution Schemes
• Well-Balanced Schemes
• Geophysical Flows, Aerodynamics, Traffic Flow

Some activities in a nutshell ...

• Editorial Board, SIAM Journal on Scientific Computing (2002-2007)
• Abel Lecturer in honour of the 2005 Abel Laureate, my advisor Peter D. Lax
• Vertrauensdozent, Studienstiftung des Deutschen Volkes (2008-2012)

Recent papers

• M. Castro, J.T. Frings, S. Noelle, C. Pares, G. Puppo On the hyperbolicity of two- and three-layer shallow water equations. Draft, J. Scientific Computing, Proceedings Castro Urdiales (September 2009).
  Figure Tar-Archive (42 MB)
  
• C. Steiner and S. Noelle, Timestep control for weakly instationary flows. IGPM report 295 (2009).
  
• C. Steiner, S. Müller and S. Noelle, Adaptive timestep control for instationary solutions of the Euler equations. IGPM report 292 (2009).
  
• S. Noelle, Y. Xing and C.-W. Shu, High-Order Well-balanced Schemes. To appear in Quaderni di Matematica, G. Russo (editor) (2010).
  
• C. Steiner and S. Noelle, On adaptive timestepping for weakly instationary solutions of hyperbolic conservation laws via adjoint error control. Communications in Numerical Methods in Engineering, in print (October 2008).
  
• S. Noelle, Y. Xing and C.-W. Shu, High Order Well-balanced Finite Volume WENO Schemes for Shallow Water Equation with Moving Water. Journal of Computational Physics, Vol. 226 (2007), 29-58.
  
• N. Pankratz, J. Natvig, B. Gjevik and S. Noelle, High-order well-balanced finite-volume schemes for barotropic flows. Development and numerical comparisons. Ocean Modelling, Vol. 18 (2007), 53-79.
  
• M. Lukacova-Medvidova, S. Noelle, M. Kraft, Well-balanced finite volume evolution Galerkin methods for the shallow water equations. Journal of Computational Physics, Vol. 221 (2007), 122-147
  
• S. Noelle, N. Pankratz, G. Puppo and J. Natvig, Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows. Journal of Computational Physics, Vol. 213 (2006), 474-499.
  
• S. Noelle, Abelpreis 2005 an Peter D. Lax. DMV Mitteilungen 13 (2005), 84-89.