Knut Waagan's official homepage
email: kwaagan at uw.edu
I have a PhD in applied mathematics from the Centre of Mathematics for Applications,
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.
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
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.
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).
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
And some home-cooked guitarisms caught on film.
Brought to you by 'Mr. or Mrs. Nut.' Artwork by this fellow.