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Differential — Algebraic Equations

In: Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics

Author

Listed:
  • V. I. Shalashilin

    (Moscow Aviation Institute)

  • E. B. Kuznetsov

    (Moscow Aviation Institute)

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.

Suggested Citation

  • V. I. Shalashilin & E. B. Kuznetsov, 2003. "Differential — Algebraic Equations," Springer Books, in: Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics, chapter 0, pages 97-135, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-2537-8_4
    DOI: 10.1007/978-94-017-2537-8_4
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