On the Convergence of Backward Differentiation Formulas for Stiff Initial Value Problems

被引:0
|
作者
Gabriela Kirlinger
机构
[1] Technische Universität,Institut für Angewandte und Numerische Mathematik
来源
BIT Numerical Mathematics | 2001年 / 41卷
关键词
Non-autonomous problems; stiff initial value problems; backward differentiation formulas; convergence;
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学科分类号
摘要
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 y′ = A(t)y + Φ(t) are given. The approach is based on a special decomposition of the companion matrix.
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页码:1039 / 1048
页数:9
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