Uniform stability of a one-parameter family of difference schemes

被引：0

作者：

Gulin A.V. ^{[1
]}

Mokin A.Y. ^{[1
]}

机构：

[1] Department of Computational Mathematics and Cybernetics, Moscow State University

来源：

Moscow University Computational Mathematics and Cybernetics | 2011年 / 35卷 / 1期

基金：

俄罗斯基础研究基金会;

关键词：

difference scheme; nonlocal boundary condition; stability;

D O I：

10.3103/S0278641910041028

中图分类号：

学科分类号：

摘要：

We consider a difference scheme with weights approximating the nonlocal boundary value problem for a heat equation with a parameter in the boundary conditions. We prove uniform (in parameter) estimates of the solution scheme that demonstrate the consistency of the initial data in the mean-square norm. © 2011 Allerton Press, Inc.

引用

页码：6 / 13

页数：7

共 6 条

[1]

Ionkin N.I., Difference Schemes for One Non-classical Problem, Vestn. Mosk. Univ., Ser, 15, pp. 20-32, (1977)

[2]

Gulin A.V., Ionkin N.I., Morozova V.A., Difference Schemes for Nonlocal Problems, Izv.Vyssh.Uchebn.Zaved.,Mat, 1, 512, pp. 40-51, (2005)

[3]

Gulin A.V., Ionkin N.I., Morozova V.A., Study of the Norm in Stability Problems for Nonlocal Difference Schemes, Differ. Uravn., 42, pp. 914-923, (2006)

[4]

Gulin A.V., Ionkin N.I., Morozova V.A., Stability Criterion of the Difference Scheme for a Nonlocal Heat Conduction Problem, Izv. Vyssh. Uchebn. Zaved., Mat, 6, 541, pp. 21-28, (2007)

[5]

Gulin A.V., Ionkin N.I., Morozova V.A., Stability of Nonlocal Difference Schemes, (2008)

[6]

Samarskii A.A., Gulin A.V., Stability of Difference Schemes, (2005)

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