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On the Arbitrary Difference Precise Integration Method and Its Numerical Stability

西南交通大学学报(英文版)2000,Vol.8Issue(1):51-58,8.
西南交通大学学报(英文版)2000,Vol.8Issue(1):51-58,8.

On the Arbitrary Difference Precise Integration Method and Its Numerical Stability

On the Arbitrary Difference Precise Integration Method and Its Numerical Stability

1

作者信息

  • 1. Chongqing Jiaotong Institute,Chongqing 630074,China;School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China;School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China
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摘要

Abstract

Based on the subdomain precise integration method, the arbitrary difference precise integration method (ADPIM) is presented to solve PDEs. While retaining all the merits of the former method, ADPIM also demonstrates advantages such as the abilities of better description of physical properties of inhomogeneous media and convenient treatment of various boundary conditions. The explicit integration schemes derived by ADPIM are proved unconditionally stable.

关键词

partial differential equations/difference method/numerical stability

Key words

partial differential equations/difference method/numerical stability

分类

数理科学

引用本文复制引用

..On the Arbitrary Difference Precise Integration Method and Its Numerical Stability[J].西南交通大学学报(英文版),2000,8(1):51-58,8.

西南交通大学学报(英文版)

2662-4745

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