Computational Science — ICCS 2003

Volume 2658 of the series Lecture Notes in Computer Science pp 516-522


Numerical Solution of Differential-Algebraic Equations by Block Methods

  • Michael V. BulatovAffiliated withInstitute of System Dynamics and Control Theory SB RAS

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In this paper some class of nonlinear differential-algebraic equations of high index is considered. For the numerical solution of this problem the family of multistep, multistage difference schemes of high order is proposed. In some cases this difference schemes are Runge-Kutta methods. The estimate of error is found.