General error propagation in the RK\(r\)GL\(m\) method

DOI10.1016/j.cam.2008.09.032zbMath1168.65036OpenAlexW1987987308MaRDI QIDQ1019806

J. S. C. Prentice

Publication date: 28 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2008.09.032

zbMATH Keywords

numerical experimentsinitial value problemsstep size controlGauss-Legendre quadrature formulaRunge Kutta methodsLocal error propagation

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (2)

Amplification and suppression of round-off error in Runge–Kutta methods ⋮ Error in Runge–Kutta methods

Cites Work

• The RKGL method for the numerical solution of initial-value problems
• Comparing Numerical Methods for Ordinary Differential Equations
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