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

被引：30

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].

引用

页码：2195 / 2216

页数：22

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