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Computational Stability of Explicit Difference Schemes of Forced Dissipative Nonlinear Evolution Equations

  • LIN Wan Tao ,
  • JI Zhong Zhen ,
  • WANG Bin
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  • State Key Laboratory of Numerical Modeling for Atmospheric Science and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Science, Beijing 100029

Received date: 2001-12-25

  Revised date: 2002-03-07

  Online published: 2002-07-18

Abstract

Based on the concept of computational quasi-stability, the computational stability of the explicit difference schemes fo r the forced dissipative nonlinear evolution equat ions is analyzed, then the computational quasi-stability criterion is obtained.It provides a new thought and the theoret ical basis fo r designing a computationally stable difference scheme for the fo rced dissipative nonlinear atmospheric equations.

Cite this article

LIN Wan Tao , JI Zhong Zhen , WANG Bin . Computational Stability of Explicit Difference Schemes of Forced Dissipative Nonlinear Evolution Equations[J]. Journal of University of Chinese Academy of Sciences, 2002 , 19(4) : 362 -365 . DOI: 10.7523/j.issn.2095-6134.2002.4.004

References

[1] 曾庆存.计算稳定性的若干问题.大气科学, 1978, 2(3):181~191

[2] 曾庆存, 季仲贞.发展方程的计算稳定性问题.计算数学, 1981, 3(1):79~86

[3] 季仲贞.非线性计算稳定性的比较分析.大气科学, 1981, 4(4):344~354

[4] 季仲贞, 王 斌.再论发展方程差分格式的构造和应用.大气科学, 1991, 15(2):72~78

[5] 季仲贞, 王 斌, 曾庆存.计算地球流体力学若干新进展.空气动力学学报, 1998, 16(1):108~114

[6] 季仲贞, 杨晓忠, 林万涛.非线性计算不稳定问题的进一步研究.中国科学院研究生院学报, 2001, 18(1):59~65

[7] 王 斌, 季仲贞.显式完全平方守恒差分格式的构造及其初步检验.科学通报, 1990, 35(10):766~768

[8] 王 斌, 季仲贞.协调耗散算子与显式完全平方守恒差分格式.中国科学, B 辑, 1993, 23(6):665~672

[9] 王 斌, 曾庆存, 季仲贞.平方守恒系统与Hamilton 系统.中国科学, A 辑, 1995, 25(7):765~770

[10] 丑纪范.大气动力学方程组的全局分析.北京气象学院学报, 1995, (1):1 ~ 12

[11] 汪守宏, 黄建平, 丑纪范.大尺度大气运动方程组解的一些性质.中国科学, B 辑, 1989, 19(3):328~336

[12] Lions J L, Temam R, Wang S.On the equations of large-scale ocean.Nonlinearity, 1992, 5 :1007~1053

[13] 李建平, 丑纪范.非定常外源强迫下大尺度大气方程组解的性质.科学通报, 1995, 40(13):1207~1209

[14] 李建平, 丑纪范.大气吸引子的存在性.中国科学, D 辑, 1997, 27(1):89~96

[15] 李建平, 丑纪范.强迫耗散非线性大气方程的计算稳定性.科学通报, 1999, 44(2):214~216

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