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Book chapter
English

Implicit Runge-Kutta methods for higher index differential-algebraic systems

PublisherWorld Scientific
Collection
  • World Scientific Series in Applicable Analysis; 2
Publication date1993
Abstract

This article considers the numerical treatment of differential-algebraic systems by implicit Runge-Kutta methods. The perturbation index of a problem is discussed and its relation to the numerical solution is explained. Optimal convergence results of implicit Runge-Kutta methods for problems of index 1, 2, and 3 in Hessenberg form are then surveyed and completed. Their importance in the study of convergence for singular perturbation problems is shown and some comments on the numerical treatment of stiff Hamiltonian systems are given.

Citation (ISO format)
HAIRER, Ernst, JAY, Laurent. Implicit Runge-Kutta methods for higher index differential-algebraic systems. In: Contributions in Numerical Mathematics. [s.l.] : World Scientific, 1993. (World Scientific Series in Applicable Analysis) doi: 10.1142/9789812798886_0017
Main files (1)
Book chapter (Published version)
accessLevelRestricted
Identifiers
ISBN978-981-02-1437-1
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