Quadratures for Implicit Differential Equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1970 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 7, pages 373-385 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Verner, J. H.;

doi: 10.1137/0707030

Quadratures for Implicit Differential Equations

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Abstract

Quadrature methods are used to obtain numerical solutions of certain systems of implicit differential equations. Development of the methods leads to an extension of an existence theorem for implicit differential equations. Several examples indicate the range of application of the methods.

Keywords

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Numerical quadrature and cubature formulas, Approximate quadratures, Implicit ordinary differential equations, differential-algebraic equations

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