Title of article
Runge–Kutta methods for DAEs. A new approach
Author/Authors
Higueras، نويسنده , , Inmaculada and Garc??a-Celayeta، نويسنده , , Berta، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1999
Pages
13
From page
49
To page
61
Abstract
Given a linear variable coefficient DAE, the logarithmic norm of a pencil related to the original pencil (A(t),B(t)), allows us to determine the contractivity of ∥A(t)x(t)∥. When algebraically stable Runge–Kutta methods are used for DAEs, the contractivity for ∥An+1xn+1∥ is no longer maintained for all stepsize. In this paper we define a new approach for Runge–Kutta methods that preserve contractivity.
Keywords
Contractivity , Differential algebraic system , B-stability , Logarithmic norm , Runge–Kutta method
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1999
Journal title
Journal of Computational and Applied Mathematics
Record number
1550367
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