On smoothing and order reduction effects for implicit Runge-Kutta formulae

DOI10.1016/0377-0427(93)90261-9zbMath0802.65088OpenAlexW2086760191MaRDI QIDQ688019

Kevin Burrage, Robert P. K. Chan

Publication date: 11 December 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(93)90261-9

zbMATH Keywords

smoothingsingular perturbationconsistencystiff problemsorder reductionsymmetrizerGauss methodsProthero-Robinson problemimplicit Runge-Kutta formulae

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Multiple scale methods for ordinary differential equations (34E13)

Related Items

Smoothing effects on the IMR and ITR, Efficient Runge-Kutta integrators for index-2 differential algebraic equations, A four-stage index 2 diagonally implicit Runge-Kutta method, On the structure of errors for Radau IA methods applied to index-2 DAEs, \(A\)-stability of implicit Runge-Kutta extrapolations, Positive and conservative schemes for mass action kinetics, A survey of numerical techniques for solving singularly perturbed ordinary differential equations

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