• 제목/요약/키워드: plicit multistep methods

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NUMERICAL METHODS SOLVING THE SEMI-EXPLICIT DIFFERENTIAL-ALGEBRAIC EQUATIONS BY IMPLICIT MULTISTEP FIXED STEP SIZE METHODS

  • Kulikov, G.Yu.
    • Journal of applied mathematics & informatics
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    • 제4권2호
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    • pp.341-378
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    • 1997
  • We consider three classes of numerical methods for solv-ing 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 a2nd 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 in-vestigate their efficiency in theory and practice.