A note on error expressions for reflected and averaged implicit Runge- Kutta methods

DOI10.1007/BF01932710zbMath0679.65062MaRDI QIDQ1822914

P. H. Muir, P. W. Beame

Publication date: 1989

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

implicit Runge-Kutta methodserror coefficientsreflected methodsaveraged methods

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to PDEs (35B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Uses Software

• RODAS

Cites Work

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• Reflected and transposed Runge-Kutta methods
• Efficient classes of Runge-Kutta methods for two-point boundary value problems
• Relationships among some classes of implicit Runge-Kutta methods and their stability functions
• High order methods for the numerical solution of two-point boundary value problems
• Collocation for Singular Perturbation Problems III: Nonlinear Problems without Turning Points
• Collocation for Singular Perturbation Problems I: First Order Systems with Constant Coefficients
• An Adaptive Boundary Value Runge–Kutta Solver for First Order Boundary Value Problems

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