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On the Convergence of Backward Differentiation Formulas for Stiff Initial Value Problems
Authors:Gabriela Kirlinger
Affiliation:(1) Institut für Angewandte und Numerische Mathematik, Technische Universität, Wien Wiedner Hauptstra"beta"e 8-10/115, 1040 Wien, Austria
Abstract:
The influence of a time-dependent transformation to a numerical method is studied. Thus convergence results of backward differentiation formulas applied to the non-autonomous stiff system yprime = A(t)y + PHgr(t) are given. The approach is based on a special decomposition of the companion matrix.This revised version was published online in October 2005 with corrections to the Cover Date.
Keywords:Non-autonomous problems  stiff initial value problems  backward differentiation formulas  convergence
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