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Differential — Algebraic Equations

  • V. I. Shalashilin
  • E. B. Kuznetsov
Chapter
  • 170 Downloads

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • V. I. Shalashilin
    • 1
  • E. B. Kuznetsov
    • 1
  1. 1.Moscow Aviation InstituteMoscowRussia

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