Hermite-Birkhoff-Obrechkoff four-stage four-step ODE solver of order 14 with quantized step size

DOI10.1016/j.cam.2007.12.003zbMath1153.65071OpenAlexW2063627025MaRDI QIDQ955083

Philip W. Sharp, Rémi Vaillancourt, Truong Nguyen-Ba

Publication date: 18 November 2008

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.2007.12.003

zbMATH Keywords

numerical examplesRunge-Kutta methodstepsize controlMatlaberror estimatorHermite-Birkhoff methodmultistep methodgeneral linear methodCPU timenumber of function evaluationsObrechkoff methodcomparing ODE solversDormand-Prince methodDP(8,7)13Mmaximum global errornon-stiff systemsVandermonde-type systems

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) 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 (1)

A new family of multistep numerical integration methods based on Hermite interpolation

Uses Software

• Matlab
• ode113
• HBOQ(14)4

Cites Work

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• ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES
• Comparing Numerical Methods for Ordinary Differential Equations
• Coefficients for the study of Runge-Kutta integration processes

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