Multi-level spectral deferred corrections scheme for the shallow water equations on the rotating sphere-Reference-Cited by-同舟云学术

Multi-level spectral deferred corrections scheme for the shallow water equations on the rotating sphere

Published:2019-01 Issue: Volume:376 Page:435-454
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Hamon François P.^ORCID,Schreiber Martin,Minion Michael L.

Funder

U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research

Office of Science of the U.S. Department of Energy

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference41 articles.

1. A multigrid perspective on the parallel full approximation scheme in space and time;Bolten;Numer. Linear Algebra Appl.,2017

2. An efficient, one-level, primitive-equation spectral model;Bourke;Mon. Weather Rev.,1972

3. High-order multi-implicit spectral deferred correction methods for problems of reactive flow;Bourlioux;J. Comput. Phys.,2003

4. Multi-level adaptive solutions to boundary-value problems;Brandt;Math. Comput.,1977

5. Comments on high-order integrators embedded within integral deferred correction methods;Christlieb;Commun. Appl. Math. Comput. Sci.,2009

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