A smooth output interpolation process for BDF codes

DOI10.1016/0096-3003(89)90130-6zbMath0678.65051OpenAlexW4241147752MaRDI QIDQ1124291

H. A. Watts

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0096-3003(89)90130-6

zbMATH Keywords

stiff problemsdiscontinuous solutionNumerical examplesAdams codesbackward differentiation formulae codessmooth interpolantsmooth interpolation processsound root algorithm

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Uses Software

• FACSIMILE

Cites Work

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• Rosenbrock methods for stiff ODEs: A comparison of Richardson extrapolation and embedding technique
• Local error and variable order Adams codes
• Stiff ODE solvers: A review of current and coming attractions
• A \(C^ 1\) interpolant for codes based on backward differentiation formulae
• Smoother Interpolants for Adams Codes
• Comparing numerical methods for stiff systems of O.D.E:s
• A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
• Global Error Estimates for Ordinary Differential Equations
• Test Results on Initial Value Methods for Non-Stiff Ordinary Differential Equations
• The automatic integration of ordinary differential equations

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