We consider the class of implicit-explicit general linear methods (IMEX). Such schemes are designed for ordinary differential equation systems with right handside function splitted into stiff and non-stiff parts. We investigate error propagation of IMEX methods up to the terms of order p + 2. In addition, we construct IMEX schemes of order p and stage order q = p, p ≤ 4 and we verify the performance of methods in several numerical experiments.
Error propagation for implicit-explicit general linear methods
Cardone, A.;
2018
Abstract
We consider the class of implicit-explicit general linear methods (IMEX). Such schemes are designed for ordinary differential equation systems with right handside function splitted into stiff and non-stiff parts. We investigate error propagation of IMEX methods up to the terms of order p + 2. In addition, we construct IMEX schemes of order p and stage order q = p, p ≤ 4 and we verify the performance of methods in several numerical experiments.File in questo prodotto:
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