LARGE TIME STEP GENERALIZATIONS OF GLIMM'S SCHEME FOR SYSTEMS OF CONSERVATION LAWS

被引：0
|
作者：
王靖华 [1 ]
机构：
[1] Institute of Systems Science Academia Sinica Beijing China.
来源：
Chinese Annals of Mathematics,Series B | 1988年 / 04期
基金：
美国国家科学基金会;
关键词：
Th; LARGE TIME STEP GENERALIZATIONS OF GLIMM’S SCHEME FOR SYSTEMS OF CONSERVATION LAWS;
D O I：
暂无
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学科分类号：
摘要：
Two kinds of generalizations of Glimm’s scheme for Courant numbers larger than1/2 is introduced. For one kind of the generalizations, referred to as L. T. S. Glimm’s scheme(I), it is shown that for any fixed (but arbitrary large) Courant number if a sequence ofapproximate solutions converges to a limit u as the mesh is refined, then u is a werk solutionto the system of conservation laws/for almost choise of random sequence. Furthermore it is,obtained that for scalar equations and systems of conservation laws the family ofapproximate solutions contains convergent subsequnce. For another kind of generalizations with any fixed (but arbitrary large) Courantnumber, referred to as L. T. S. Glhnm’s scheme (Ⅱ), it is proved that the family ofapproximate solutions to the system of isothermal gas dynamics equations contains aconvergent subsequence provided the total varigtion of the initial data is bounded.
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页码：456 / 469
页数：14
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