Parallel-in-Time High-Order Multiderivative IMEX Solvers

Autor:	Jochen Schütz, David C. Seal, Jonas Zeifang
Rok vydání:	2021
Předmět:	Computational Mathematics Numerical Analysis Computational Theory and Mathematics Applied Mathematics MathematicsofComputing_NUMERICALANALYSIS FOS: Mathematics General Engineering Mathematics - Numerical Analysis Numerical Analysis (math.NA) Software Theoretical Computer Science
Zdroj:	Journal of Scientific Computing. 90
ISSN:	1573-7691 0885-7474
DOI:	10.1007/s10915-021-01733-3
Popis:	In this work, we present a novel class of parallelizable high-order time integration schemes for the approximate solution of additive ODEs. The methods achieve high order through a combination of a suitable quadrature formula involving multiple derivatives of the ODE's right-hand side and a predictor-corrector ansatz. The latter approach is designed in such a way that parallelism in time is made possible. We present thorough analysis as well as numerical results that showcase scaling opportunities of methods from this class of solvers. Comment: 36 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fdbc0ab579ea8a13d29bd644a91ce937 https://doi.org/10.1007/s10915-021-01733-3 Zobrazit plný text záznamu Full text from SpringerLink