Differential — Algebraic Equations

V. I. Shalashilin and E. B. Kuznetsov
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V. I. Shalashilin: Moscow Aviation Institute
E. B. Kuznetsov: Moscow Aviation Institute

Chapter Chapter 4 in Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics, 2003, pp 97-135 from Springer

Abstract: Abstract Differential — algebraic equations (DAE) differ from other problems with solutions given by smooth and continuous parametric sets. They combine specifics of the nonlinear algebraic or transcendental equations with those of ODE. Correct formulation of the Cauchy problem for such equations requires solution of a system of nonlinear equations. In this chapter we will describe and investigate the algorithm of numerical continuation of Cauchy problem solution for different forms of DAE.

Keywords: Cauchy Problem; Algebraic Equation; Initial Point; Integral Curve; Good Argument (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-2537-8_4

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DOI: 10.1007/978-94-017-2537-8_4

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