Knut Waagan's official homepage

email: kwaagan at uw.edu

I have a PhD in applied mathematics from the Centre of Mathematics for Applications, CMA, at the University of Oslo. At present I work at Applied Mathematics, University of Washington, as a postdoc. My research field is the numerical solution of PDEs that model nonlinear wave phenomena. In particular I am interested in systems exhibiting loss of regularity due to shock waves.

Research interests

  • Numerical methods for hyperbolic conservations laws. Finite volumes, spectral methods.
  • Uncertainty quantification for PDE systems.
  • Applications: Nonlinear elasticity, Tsunami waves, Astrophysical fluid dynamics, magnetohydrodynamics.
  • Hamilton-Jacobi equations, theory and numerics.

    Peer reviewed journal articles

  • Waagan, K. Federrath, C. Klingenberg, C: A robust numerical scheme for highly compressible magnetohydrodynamics: Non-linear stability, implementation and tests . Journal of Computational Physics, Volume 230 Issue 9, May, 2011 Pages 3331-3351.Download
  • Franz Georg Fuchs, Andrew D. McMurry, Siddhartha Mishra, and Knut Waagan: "Simulating waves in the upper solar atmosphere with SURYA: a well-balanced high-order finite volume code" , The Astrophysical Journal, Volume 732, Number 2, 2011. Download
  • Eitan Tadmor and Knut Waagan: Adaptive Spectral Viscosity for Hyperbolic Conservation Laws . SIAM J. Sci. Comput. 34, pp. A993-A1009 Download
  • Fuchs, F. McMurry, A. Mishra, S. Risebro, N. H., Waagan, K: Approximate Riemann solvers and stable high-order finite volume schemes for multi-dimensional ideal MHD. Communications in Computational Physics, , 9 (2011), pp. 324-362. Download
  • Klingenberg, C. Waagan, K: Relaxation solvers for ideal MHD equations -a review. Acta Mathematica Scientia, Volume 30, Issue 2, p. 621-632, 2010. . Download
  • Fuchs, F. McMurry, A. Mishra, S. Risebro, N. H., Waagan, K: High order well balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres. Journal of Computational Physics, Volume 229, Issue 11, 2010, Pages 4033-4058. Download
  • Bouchut, F. Klingenberg, K. Waagan, K: A multiwave approximate Riemann solver for ideal MHD based on relaxation II - Numerical implementation with 3 and 5 waves. Numerische Mathematik., available online, 2010. Download
  • Waagan, K: A positive MUSCL-Hancock scheme for magnetohydrodynamics. Journal of Computational Physics, Volume 228, Issue 23, p. 8609-8626, 2009. Download
  • Fuchs, F. McMurry, A. Mishra, S. Risebro, N. H., Waagan, K: Finite volume methods for wave propagation in stratified magneto-atmospheres. Communications in Computational Physics, 7, p. 473-509, 2009. Download
  • Waagan, K: Convergence Rate of Monotone Numerical Schemes for Hamilton-Jacobi Equations with Weak Boundary Conditions. SIAM J. Numer. Anal.Volume 46, Issue 5, p. 2371-2392 (2008). Download
  • Klingenberg, C. Schmidt, W. Waagan, K: Numerical comparison of Riemann solvers for astrophysical hydrodynamics. Journal of Computational Physics, Volume 227, Issue 1, p. 12-35 (2007). Download.
  • Bouchut, F. Klingenberg, K. Waagan, K: A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: theoretical framework. Numerische Mathematik, Volume 108 , Issue 1, p. 7 - 42 (2007). Download

    Other publications:

  • Bouchut, F. Klingenberg, K. Waagan, K: An approximate Riemann solver for ideal MHD based on relaxation . In proceedings of The 12th International Conference on Hyperbolic Problems: Theory, Numerics, and Applications, 2009
  • Waagan, K: Numerical methods for first order hyperbolic evolution equations , PhD thesis, University of Oslo(2007).
  • Brandenburg, A. Klingenberg, C. Waagan, K. Bergene, H. Lin, Y. Motamed, M. Ramstad, T. Virtanen, J: The reality of the compund solution in magnetohydrodynamics . In "Computational problems in Physics 2005 - Group reports", Helsinki University of Technology, Institute of Mathematics, Research Reports

    Non-academic: Some photos from Maryland/D.C. etc. are here. Here is an album from back home. And some home-cooked guitarisms caught on film.

    Brought to you by 'Mr. or Mrs. Nut.' Artwork by this fellow.