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THE UNCONDITIONAL STABLE DIFFERENCE METHODS WITH INTRINSIC PARALLELISM FOR TWO DIMENSIONAL SEMILINEAR PARABOLIC SYSTEMS

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文摘 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 Journal of Computational Mathematics ,2003,21(1):63-70 【核心库】
关键词 Difference Scheme ; Intrinsic Parallelism ; Two Dimensional Semilinear Parabolic System ; Stability
地址

1. Ningbo University  

2. Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, National Laboratory of Computational Physics, 北京, 100088

语种 英文
文献类型 研究性论文
ISSN 0254-9409
学科 数学
基金 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
文献收藏号 CSCD:1272625

参考文献 共 12 共1页

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11.  Zhou Yulin. Applications of Discrete Functional Analysis to Finite Difference Method,1990 被引 11    
12.  Zhou Yulin. Beijing Mathematics,1996,2(2):94-108 被引 2    
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1 袁光伟 扩散方程的守恒型并行计算格式 计算物理,2010,27(4):475-491
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