A Runge-Kutta BVODE Solver with Global Error and Defect Control

DOI10.1145/2427023.2427028zbMath1295.65141OpenAlexW2077355347WikidataQ113310354 ScholiaQ113310354MaRDI QIDQ3189668

Jason J. Boisvert, P. H. Muir, Raymond J. Spiteri

Publication date: 12 September 2014

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/2427023.2427028

zbMATH Keywords

conditioningRunge-Kutta methodsRichardson extrapolationdefect controldeferred correctionboundary value ordinary differential equationsglobal error estimation

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Packaged methods for numerical algorithms (65Y15)

Related Items (4)

Constraint control of nonholonomic mechanical systems ⋮ Numerical simulations of a rolling ball robot actuated by internal point masses ⋮ Error control Gaussian collocation software for boundary value ODEs and 1D time-dependent PDEs ⋮ Mesh selection strategies of the code TOM for boundary value problems

Uses Software

• bvp4c
• COLSYS
• Algorithm 674
• Sbvp

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