Splitting and composition methods with embedded error estimators
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/173364
comunitat-uji-handle3:10234/173369
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
Splitting and composition methods with embedded error estimatorsDate
2019-12Publisher
ElsevierISSN
0168-9274Bibliographic citation
BLANES, Sergio; CASAS, Fernando; THALHAMMER, Mechthild. Splitting and composition methods with embedded error estimators. Applied Numerical Mathematics, 2019, vol. 146, p. 400-415.Type
info:eu-repo/semantics/articlePublisher version
https://www.sciencedirect.com/science/article/pii/S0168927419301941Version
info:eu-repo/semantics/submittedVersionSubject
Abstract
We propose new local error estimators for splitting and composition methods. They are based on the construction of lower order schemes obtained at each step as a linear combination of the intermediate stages of the ... [+]
We propose new local error estimators for splitting and composition methods. They are based on the construction of lower order schemes obtained at each step as a linear combination of the intermediate stages of the integrator, so that the additional computational cost required for their evaluation is almost insignificant. These estimators can be subsequently used to adapt the step size along the integration. Numerical examples show the efficiency of the procedure. [-]
Is part of
Applied Numerical Mathematics, 2019, vol. 146Rights
Copyright © Elsevier B.V.
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
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- IMAC_Articles [122]