Autor:	Schütz, Jochen, Seal, David C., Zeifang, Jonas
Rok vydání:	2021
Předmět:	Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
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:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.07846 Zobrazit plný text záznamu View this record from Arxiv