BACKWARD DIFFERENCE FORMULAE: NEW MULTIPLIERS AND STABILITY PROPERTIES FOR PARABOLIC EQUATIONS

被引：28
|
作者：
Akrivis, Georgios [1 ]
Katsoprinakis, Emmanuil [2 ]
机构：
[1] Univ Ioannina, Dept Comp Sci & Engn, GR-45110 Ioannina, Greece
[2] Univ Crete, Dept Math & Appl Math, Iraklion 71003, Crete, Greece
来源：
MATHEMATICS OF COMPUTATION | 2016年 / 85卷 / 301期
关键词：
BDF methods; multipliers; implicit-explicit BDF methods; parabolic equations; stability; energy technique; MULTISTEP METHODS;
D O I：
10.1090/mcom3055
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We determine new, more favorable, and in a sense optimal, multipliers for the three-and five-step backward difference formula (BDF) methods. We apply the new multipliers to establish stability of these methods as well as of their implicit-explicit counterparts for parabolic equations by energy techniques, under milder conditions than the ones recently imposed in [1, 4].
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页码：2195 / 2216
页数：22
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