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.


Editeur(s):
Abgrall, Remi
Shu, Chi-Wang
Publié dans:
Handbook of Numerical Methods for Hyperbolic Problems Basic and Fundamental Issues, 441-466
Année
2016
Publisher:
Elsevier Publishing
ISBN:
978-0-444-63789-5
Laboratoires:




 Notice créée le 2016-09-27, modifiée le 2019-12-05

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