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THE UNCONDITIONAL STABLE DIFFERENCE METHODS WITH INTRINSIC PARALLELISM FOR TWO DIMENSIONAL SEMILINEAR PARABOLIC SYSTEMS
查看参考文献12篇
文摘
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In this paper we are going to discuss the difference schemes with intrinsic parallelism for the boundary value problem of the two dimensional semilinear parabolic systems. The unconditional stability of the general finite difference schemes with intrinsic parallelism is justified in the sense of the continuous dependence of the discrete vector solution of the difference schemes on the discrete data of the original problems in the discrete W_2~((2,1)) norms. Then the uniqueness of the discrete vector solution of this difference scheme follows as the consequence of the stability. |
来源
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Journal of Computational Mathematics
,2003,21(1):63-70 【核心库】
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关键词
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Difference Scheme
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Intrinsic Parallelism
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Two Dimensional Semilinear Parabolic System
;
Stability
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地址
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1.
Ningbo University
2.
Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, National Laboratory of Computational Physics, 北京, 100088
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语种
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英文 |
文献类型
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研究性论文 |
ISSN
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0254-9409 |
学科
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数学 |
基金
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中国工程物理研究院项目
;
国家973计划
;
国家自然科学基金
;
国家863计划
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文献收藏号
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CSCD:1272625
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参考文献 共
12
共1页
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1.
Zhou Yulin.
Beijing Mathematics,1996,2(2):1-32
|
被引
2
次
|
|
|
|
2.
Zhou Yulin.
Science in China. Series A, Mathematics (in English),1997,40(4):357-365
|
被引
7
次
|
|
|
|
3.
Zhou Yulin.
Chinese J. Numer. Math. and Appl.,1997,19(3):46-57
|
被引
8
次
|
|
|
|
4.
Zhou Yulin.
Beijing Mathematics,1997,3(1):39-54
|
被引
2
次
|
|
|
|
5.
Yuan Guangwei.
Numerical Methods for Partial Differential Equations,1999,15:625-636
|
被引
13
次
|
|
|
|
6.
Yuan Guangwei.
Unconditional Stability and Convergence of Parallel Difference Schemes for Parabolic Equations,2001
|
被引
2
次
|
|
|
|
7.
Yuan Guangwei.
Unconditional Stability and Convergence of Implicit Difference Domain Decomposition Procedures,2001
|
被引
2
次
|
|
|
|
8.
Zhou Yulin.
The Unconditional Stable and Convergent Difference Methods with Intrinsic Parallelism for Quasilinear Parabolic Systems,2002
|
被引
2
次
|
|
|
|
9.
Shen Longjun.
The Unconditional Convergent Difference Methods with Intrinsic Parallelism for Quasilinear Parabolic Systems with Two Dimensions,2002
|
被引
1
次
|
|
|
|
10.
Zhou Yulin.
Beijing Mathematics,1995,1(1):1-35
|
被引
2
次
|
|
|
|
11.
Zhou Yulin.
Applications of Discrete Functional Analysis to Finite Difference Method,1990
|
被引
11
次
|
|
|
|
12.
Zhou Yulin.
Beijing Mathematics,1996,2(2):94-108
|
被引
2
次
|
|
|
|
|
|