Rate of Convergence of Multistep Codes Started by Variation of Order and Stepsize

DOI10.1137/0727087zbMath0727.65067OpenAlexW2073335271MaRDI QIDQ3349894

Wen Zhang, Lawrence F. Shampine

Publication date: 1990

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0727087

zbMATH Keywords

stabilityconvergence ratestepsize controlmultistep methodvariable step variable formula codesVSVF algorithms

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)

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Coefficients for studying one-step rational schemes for IVPs in ODEs: II ⋮ The starting procedure in variable-stepsize variable-order PECE codes ⋮ Numerical investigations on global error estimation for ordinary differential equations ⋮ Coefficients for studying one-step rational schemes for IVPs in ODEs. III: Extrapolation methods ⋮ Coefficients for studying one-step rational schemes for IVPs in ODEs. I ⋮ Efficient rational one-step numerical integrators for initial value problems in ordinary differential equations ⋮ New extrapolation methods for initial value problems in ordinary differential equations

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