DAHLQUIST'S FIRST BARRIER FOR MULTISTAGE MULTISTEP FORMULAS.

被引：0
|
作者：
Jeltsch, Rolf [1 ]
Nevanlinna, Olavi [1 ]
机构：
[1] RWTH, Inst fuer Geometrie und, Praktische Mathematik, Aachen, West, Ger, RWTH, Inst fuer Geometrie und Praktische Mathematik, Aachen, West Ger
来源：
BIT (Copenhagen) | 1984年 / 24卷 / 04期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Dahlquist's proof of his barrier for the order of stable linear multistep methods is combined with Reimer's proof of the corresponding barrier for multistep multiderivative methods. This leads to a shortening of Reimer's original proof and gives lower bounds for the error constant. These bounds are then studied for high error order and are used to model the optimal order and stepsize selection in an idealized integration code.
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页码：538 / 555
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