Generalized symmetric Runge-Kutta methods

DOI10.1007/BF02280038zbMath0773.65047MaRDI QIDQ2366304

Robert P. K. Chan

Publication date: 29 June 1993

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

extrapolation\(A\)-stabilityasymptotic error expansionstiff problem\(L\)-stability\(A\)-stable methodssymmetric Runge-Kutta methods

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) Multiple scale methods for ordinary differential equations (34E13)

Related Items (5)

Starting algorithms for IRK methods ⋮ Automatic step size and order control in implicit one-step extrapolation methods ⋮ On smoothing and order reduction effects for implicit Runge-Kutta formulae ⋮ On the structure of errors for Radau IA methods applied to index-2 DAEs ⋮ \(A\)-stability of implicit Runge-Kutta extrapolations

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