Spectral Methods for Hyperbolic Problems

We review spectral methods for the solution of hyperbolic problems. To keep the discussion concise, we focus on Fourier spectral methods and address key issues of accuracy, stability, and convergence of the numerical approximations. Polynomial methods are discussed when these lead to qualitatively different schemes as, for instance, when boundary conditions are required. The discussion includes nonlinear stability and the use of filters and post-processing techniques to minimize or overcome the Gibbs phenomenon.


Editor(s):
Abgrall, Remi
Shu, Chi-Wang
Published in:
Handbook of Numerical Methods for Hyperbolic Problems Basic and Fundamental Issues, 441-466
Year:
2016
Publisher:
Elsevier Publishing
ISBN:
978-0-444-63789-5
Laboratories:




 Record created 2016-09-27, last modified 2018-01-28

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