On the Arbitrary Difference Precise Integration Method and Its Numerical Stability

Qiang Shizhong; Wang Xiaoguo; Tang Maolin; Liu Min

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Qiang Shizhong, Wang Xiaoguo, Tang Maolin, Liu Min. On the Arbitrary Difference Precise Integration Method and Its Numerical Stability[J]. Applied Mathematics and Mechanics, 1999, 20(3): 256-262.

Citation:

Qiang Shizhong, Wang Xiaoguo, Tang Maolin, Liu Min. On the Arbitrary Difference Precise Integration Method and Its Numerical Stability[J]. Applied Mathematics and Mechanics, 1999, 20(3): 256-262.

Citation:

Qiang Shizhong, Wang Xiaoguo, Tang Maolin, Liu Min. On the Arbitrary Difference Precise Integration Method and Its Numerical Stability[J]. Applied Mathematics and Mechanics, 1999, 20(3): 256-262.

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On the Arbitrary Difference Precise Integration Method and Its Numerical Stability

Department of Bridge and Structural Engineering, Southwest Jiaotong University, Chengdu 610031, P. R. China

Received Date: 1996-09-02
Rev Recd Date: 1998-06-10
Publish Date: 1999-03-15

Abstract

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 further 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.
- partial differential equations,
- difference method,
- numerical stability

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References(7)

References

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