EXTRAPOLATION AND DEFECT CORRECTION FOR DIFFUSION EQUATIONS WITH BOUNDARY INTEGRAL CONDITIONS

数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (4): 405-412.

EXTRAPOLATION AND DEFECT CORRECTION FOR DIFFUSION EQUATIONS WITH BOUNDARY INTEGRAL CONDITIONS

林群, 张书华, 严宁宁

Institute of Systems Science, Academia Sinica, Beijing 100080, China

收稿日期:1995-07-26 修回日期:1996-02-02 出版日期:1997-12-25 发布日期:1997-12-25

EXTRAPOLATION AND DEFECT CORRECTION FOR DIFFUSION EQUATIONS WITH BOUNDARY INTEGRAL CONDITIONS

Lin Qun, Zhang Shuhua, Yan Ningning

Institute of Systems Science, Academia Sinica, Beijing 100080, China

Received:1995-07-26 Revised:1996-02-02 Online:1997-12-25 Published:1997-12-25

摘要/Abstract

摘要： In this paper we study the higher accuracy methods-the extrapolation and defect correction for the semidiscrete Galerkin approximations to the solutions of the parabolic equations with boundary integral conditions. The global extrapolation and the correction approximations, rather than the pointwise extrapolation results, are derived.

关键词: integrodifferential equations, extrapolation, defect correction

Abstract: In this paper we study the higher accuracy methods-the extrapolation and defect correction for the semidiscrete Galerkin approximations to the solutions of the parabolic equations with boundary integral conditions. The global extrapolation and the correction approximations, rather than the pointwise extrapolation results, are derived.

Key words: integrodifferential equations, extrapolation, defect correction

林群, 张书华, 严宁宁. EXTRAPOLATION AND DEFECT CORRECTION FOR DIFFUSION EQUATIONS WITH BOUNDARY INTEGRAL CONDITIONS[J]. 数学物理学报(英文版), 1997, 17(4): 405-412.

Lin Qun, Zhang Shuhua, Yan Ningning. EXTRAPOLATION AND DEFECT CORRECTION FOR DIFFUSION EQUATIONS WITH BOUNDARY INTEGRAL CONDITIONS[J]. Acta mathematica scientia,Series B, 1997, 17(4): 405-412.

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EXTRAPOLATION AND DEFECT CORRECTION FOR DIFFUSION EQUATIONS WITH BOUNDARY INTEGRAL CONDITIONS

EXTRAPOLATION AND DEFECT CORRECTION FOR DIFFUSION EQUATIONS WITH BOUNDARY INTEGRAL CONDITIONS

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