One-step 5-stage Hermite-Birkhoff-Taylor ODE solver of order 12

DOI10.1016/j.amc.2009.01.043zbMath1162.65368OpenAlexW2044142263MaRDI QIDQ1021649

Hemza Yagoub, Rémi Vaillancourt, Truong Nguyen-Ba, Han Hao

Publication date: 9 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.043

zbMATH Keywords

Hermite-Birkhoff methodCPU timenumber of function evaluationscomparing ODE solversDP(8,7)13Mmaximum global errorVandermonde-type systems

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

A new class of efficient one-step contractivity preserving high-order time discretization methods of order 5 to 14 ⋮ Pryce pre-analysis adapted to some DAE solvers

Uses Software

• Taylor
• NSDTST
• STDTST

Cites Work

• VSVO formulation of the Taylor method for the numerical solution of ODEs
• High order embedded Runge-Kutta formulae
• Validated solutions of initial value problems for ordinary differential equations
• Computing validated solutions of implicit differential equations
• Solving Ordinary Differential Equations I
• A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods
• Solving Ordinary Differential Equations Using Taylor Series
• Numerical comparisons of some explicit Runge-Kutta pairs of orders 4 through 8
• Two FORTRAN packages for assessing initial value methods
• Sensitivity Analysis of ODES/DAES Using the Taylor Series Method
• Comparing Numerical Methods for Ordinary Differential Equations
• Coefficients for the study of Runge-Kutta integration processes
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