On increasing the accuracy of implicit Runge-Kutta methods in the solution of moderately stiff problems.

zbMath1046.65056MaRDI QIDQ1432573

L. M. Skvortsov

Publication date: 15 June 2004

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

error boundsstiff systemsexplicit Runge-Kutta methodsapproximation orderimplicit Runge-Kutta methodsstiff accuracystage orderProthero-Robinson equation

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) Error bounds for numerical methods for ordinary differential equations (65L70)

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