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Numerical methods solving the semi-explicit differential-algebraic equations by implicit multistep fixed stepsize methods

  • G. Yu. Kulikov
Article
  • 67 Downloads

Abstract

We consider three classes of numerical methods for solving the semi-explicit differential-algebraic equations of index 1 and higher. These methods use implicit multistep fixed stepsize methods and several iterative processes including simple iteration, full, and modified Newton iteration. For these methods we prove convergence theorems and derive error estimates. We consider different ways of choosing initial approximations for these iterative methods and investigate their efficiency in theory and practice.

AMS Mathematics Subject Classification

65L06 

Key words and Phrases

differential-algebraic equations index implicit multistep methods iterative methods convergence results error estimates 

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Copyright information

© Korean Society for Computational and Applied Mathematics 1997

Authors and Affiliations

  1. 1.Department of Mathematics and MechanicsUlyanovsk State UniversityUlyanovskRussia

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