The numerical solution of the autonomous Cauchy problem with algebraic constraints on the phase variables

zbMath0799.65073MaRDI QIDQ1323949

G. Yu. Kulikov

Publication date: 6 July 1994

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

convergenceNewton's methodCauchy problemimplicit Euler methodfinite difference methodsimplicit Adams methodautonomous system of differential-algebraic equationssimple iteration method

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) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Global solvability of time-varying semilinear differential-algebraic equations, boundedness and stability of their solutions. I ⋮ Asymptotic error estimates for the method of simple iteration and for the modified and generalized Newton methods

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