Two-step W-methods with Parallel Stages
نویسندگان
چکیده
Two-step W-methods are linearly implicit time-stepping methods using s external stages that may be processed in parallel. Methods with order s + 1 and stage order s exist. Appropriate generalizations for the concepts of A-and L-stability are derived as well as necessary conditions for A-stability and suucient conditions for stii accuracy. We construct methods of order four where no order reduction occurs in the Prothero-Robinson equation. Already in a sequential variable stepsize implementation some of these methods are competitive with standard ROW-codes on test problems from the literature. Tests using a very simple parallelization are promising.
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