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A stopping criterion for the Newton-Raphson method in implicit multistep integration algorithms for nonlinear systems of ordinary differential equations

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Publication:5632061
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DOI10.1145/362663.362745zbMath0225.65065OpenAlexW1969949639MaRDI QIDQ5632061

Werner Liniger

Publication date: 1971

Published in: Communications of the ACM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/362663.362745



Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)


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The use of Butcher series in the analysis of Newton-like iterations in Runge-Kutta formulas ⋮ The effect of the stopping of the Newton iteration in implicit linear multistep methods ⋮ Stiffness in numerical initial-value problems ⋮ A method for constructing generalized Runge-Kutta methods ⋮ Mehrschrittverfahren zur numerischen Integration von Differentialgleichungssystemen mit stark verschiedenen Zeitkonstanten ⋮ Exponential Fitting of Matricial Multistep Methods for Ordinary Differential Equations



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