Numerical solution of initial value problems by nonlinear trapezoidal formulae and extrapolation methods

DOI10.1080/00207169408804315zbMath0828.65091OpenAlexW2078876841MaRDI QIDQ4844594

Guido Walz, David J. Evans

Publication date: 10 January 1996

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169408804315

zbMATH Keywords

numerical exampleasymptotic expansionEuler methodpolynomial extrapolationgeometric mean methodnonlinear trapezoidal integration methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

THE RUNGE-KUTTA CONTRAHARMONIC MEAN METHOD WITH EXTRAPOLATION FOR THE PARALLEL SOLUTION OF O.D.E.'S

Cites Work

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• Asymptotic expansions of the global error of fixed-stepsize methods
• Numerical treatment of ordinary differential equations by extrapolation methods
• Symmetric two-step algorithms for ordinary differential equations