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Stiff Systems of Ordinary Differential 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

The experience of numerical integration of Cauchy problems for ordinary differential equations shows that it is especially the stiff systems that require a special numerical methods. In this chapter the effect of λ-transformations on such systems of ordinary differential equations and on methods of their integration will be considered.

Suggested Citation

  • V. I. Shalashilin & E. B. Kuznetsov, 2003. "Stiff Systems of Ordinary Differential Equations," Springer Books, in: Parametric Continuation and Optimal Parametrization in Applied Mathematics and Mechanics, chapter 0, pages 67-95, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-2537-8_3
    DOI: 10.1007/978-94-017-2537-8_3
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