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On the arbitrary difference precise integration method and its numerical stability

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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.

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Authors and Affiliations

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

    Qiang Shizhong, Wang Xiaoguo, Tang Maolin & Liu Min

Authors
  1. Qiang Shizhong
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  2. Wang Xiaoguo
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  3. Tang Maolin
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  4. Liu Min
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Communicated by Zhong Wanxie

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Shizhong, Q., Xiaoguo, W., Maolin, T. et al. On the arbitrary difference precise integration method and its numerical stability. Appl Math Mech 20, 269–275 (1999). https://doi.org/10.1007/BF02463852

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  • DOI: https://doi.org/10.1007/BF02463852

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