Title of article
Convergence of Runge-Kutta methods for differential-algebraic systems of index 3 Original Research Article
Author/Authors
Laurent Jay، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1995
Pages
22
From page
97
To page
118
Abstract
This article deals with convergence results of stiffly accurate implicit Runge-Kutta methods when applied to differential-algebraic equations of index 3 in Hessenberg form. Under certain hypotheses global superconvergence is shown, proving a result conjectured by Hairer, Lubich and Roche. Numerical examples are provided which illustrate the theoretical results.
Keywords
Runge-Kutta methods , Differential-algebraic equations , Index 3
Journal title
Applied Numerical Mathematics
Serial Year
1995
Journal title
Applied Numerical Mathematics
Record number
941856
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