Stability of nonlocal finite-difference problems

被引：0
作者：
Gulin A.V.
Ionkin N.I.
Morozova V.A.
机构：
来源：
Computational Mathematics and Modeling | 2005年 / 16卷 / 3期
基金：
俄罗斯基础研究基金会;
关键词：
Boundary Condition; Mathematical Modeling; Mathematical Physic; Computational Mathematic; Differential Operator;
D O I：
10.1007/s10598-005-0022-9
中图分类号：
学科分类号：
摘要：
The article presents a brief review of the stability theory of finite-difference schemes for time-dependent problems of mathematical physics in which the spatial differential operator is constrained by boundary conditions joined on different pieces of the boundary. It is shown for the particular case of the heat-conduction equation that nonlocal boundary conditions may generate both simple finite-difference operators and finite-difference operators with an incomplete eigenfunction system. In both cases a rule is suggested for constructing the energy norm that ensures stability of the finite-difference scheme. © 2005 Springer Science+Business Media, Inc.
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页码：248 / 256
页数：8
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