Internal Error Propagation in Explicit Runge--Kutta Methods

DOI10.1137/130936245zbMath1309.65091arXiv1309.1317OpenAlexW3098739231MaRDI QIDQ5174893

David I. Ketcheson, Lajos Lóczi, Matteo Parsani

Publication date: 19 February 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.1317

zbMATH Keywords

algorithmnumerical exampleerror boundextrapolationRunge-Kutta methodsroundoff errorinternal stabilitystrong stability preservation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70)

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Many-stage optimal stabilized Runge-Kutta methods for hyperbolic partial differential equations

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