scientific article; zbMATH DE number 5257879

zbMATH Open1138.65058MaRDI QIDQ5454920

Yu Zhang, Truong Nguyen-Ba, Hemza Yagoub, Rémi Vaillancourt

Publication date: 3 April 2008

Title of this publication is not available (Why is that?)

zbMATH Keywords

algorithmsnumerical examplesfirst-order differential equationsorder conditionsCPU timevariable-stepvariable-ordercomparing ODE solversnon-stiff systemsVandermonde-type systemslocal error estimatorsHermite-Birkhoff-Obrechkoff methodsMatlab's \texttt{ode113}multistep-typeRunge-Kutta-type

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) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (3)

A new family of multistep numerical integration methods based on Hermite interpolation ⋮ Hermite-Birkhoff-Obrechkoff four-stage four-step ODE solver of order 14 with quantized step size ⋮ Variable-step variable-order 3-stage Hermite-Birkhoff-Obrechkoff DDE solver of order 4 to 14

Uses Software

• Title not available (Why is that?)
• ode113

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