Deferred Correction in Space and Time

Authors:
Bertil Gustafsson;Lina Hemmingsson-Frändén
Affiliations:
Department of Scientific Computing, Box 120, S-751 04 Uppsala, Sweden;Department of Scientific Computing, Box 120, S-751 04 Uppsala, Sweden. lina@tdb.uu.se
Venue:
Journal of Scientific Computing
Year:
2002

Citing 4
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Abstract

High order implicit methods are constructed for the solution of first order hyperbolic systems of PDE. The methods are based on the deferred correction principle in both space and time, and require only p/2 stages at each timestep for achieving accuracy of order p. Furthermore, they are suitable for applying domain decomposition techniques for implementation on parallel computers.