A three-stage, VSVO, Hermite-Birkhoff-Taylor, ODE solver

DOI10.1016/J.AMC.2010.01.082zbMath1187.65075OpenAlexW2077035380MaRDI QIDQ963948

Vladan Bozic, Rémi Vaillancourt, Truong Nguyen-Ba

Publication date: 14 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.01.082

zbMATH Keywords

Runge-Kutta methodmultiple precisionvariable-stepvariable-ordercomparing ODE solversVandermonde-type systemsHermite-Birkhoff-Taylor methodhigh-order solverregions of absolute stabilityVSVO method

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

Related Items (1)

Pryce pre-analysis adapted to some DAE solvers

Uses Software

• ATOMFT
• Taylor

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• VSVO formulation of the Taylor method for the numerical solution of ODEs
• High order embedded Runge-Kutta formulae
• ATOMFT: Solving ODEs and DAEs using Taylor series
• Performance of the Taylor series method for ODEs/DAEs
• Solving Ordinary Differential Equations I
• A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods
• Introduction to Interval Analysis
• Solving Ordinary Differential Equations Using Taylor Series
• Geometric Numerical Integration
• 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

This page was built for publication: A three-stage, VSVO, Hermite-Birkhoff-Taylor, ODE solver