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.
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Gustafsson, B., Hemmingsson-Frändén, L. Deferred Correction in Space and Time. Journal of Scientific Computing 17, 541–550 (2002). https://doi.org/10.1023/A:1015114412222
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DOI: https://doi.org/10.1023/A:1015114412222