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《Chinese Journal of Atmospheric Sciences》 1983-02
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THE DEPENDENCE OF COMPUTATIONAL STABILITY OF NON-LINEAR EVOLUTIVE EQUATION ON THE INITIAL-VALUE

Zhou Zhengzhong (Hunan Computing Center)  
This note has pointed out: When the initial-value is slightly changed, some computational instabilities for the 'leap-frog' scheme and 'time-forward' scheme in one dimensional non-linear advective equation, which is enumerated by (4), will turn into stable. Thus, the results of (2) are improved.
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【References】
Chinese Journal Full-text Database 1 Hits
1 ZHU Jie-shun, ZHOU Wei-can (Department of Mathematics,NIM,Nanjing 210044,China);Dependence of Computational Stability of Nonlinear Advection Equation on the Initial Value[J];Journal of Nanjing Institute of Meteorology;2003-03
【Citations】
Chinese Journal Full-text Database 2 Hits
1 Chi Zhong-zhen (Institute of atmospheric physics, Academia Sinica);A COMPARATIVE ANALYSIS FOR NON-LINEAR COMPUTATIONAL STABILITY[J];Chinese Journal of Atmospheric Sciences;1980-04
2 Zeng Qing-cun;Ji Zhong-zhen;ON THE COMPUTATIONAL STABILITY OF EVOLUTION EQUATIONS[J];Mathematica Numerica Sinica;1981-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Ji Zhong-zhen Zeng Qing-cun (Institute of Atmospheric Physics, Academia Sinica);THE CONSTRUCTION AND APPLICATION OF DIFFERENCE SCHEMES OF EVOLUTION EQUATIONS[J];Chinese Journal of Atmospheric Sciences;1982-01
2 Ji Zhpngzhen and Wang Bin(LASG , Institute of Atmospheric Physics, Chinese Academy of Sciences);FURTHER DISCUSSION ON THE CONSTRUCTION AND APPLICATION OF DIFFERENCE SCHEME OF EVOLUTION EQUATIONS[J];Chinese Journal of Atmospheric Sciences;1991-02
3 Mu Mu, Ji Zhongzhen, Wang Bin, and Li Yang (Institute of Atmospheric Physics , Chinese Academy of Sciences , Beijing 100029);Achievements in Geophysical Fluid Dynamics[J];Chinese Journal of Atmospheric Sciences;2003-04
4 Lin Wantao, and Xie Zhenghui(State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029);The Computational Stability of Nonconservative Schemes of Nonlinear Evolution Equations[J];Chinese Journal of Atmospheric Sciences;2004-04
5 JI Li-Ren 1, 2, CHEN Jia-Bin1, ZHANG Dao-Min1, and WANG Hou-Jun3 1Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029 2State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029 3University of Maryland, Maryland, USA;Review of Some Numerical Aspects of the Dynamic Framework of NWP Model[J];Chinese Journal of Atmospheric Sciences;2005-01
6 CHEN Jia-Bin~(1),JI Li-Ren~(1),CHEN Chang-Sheng~(2,3),and XUE Ji-Shan~(4)1 Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 1000292 Department of Atmospheric Science,Nanjing University of Information Science and Technology,Nanjing 2100443 Meteorological Observatory of Jilin,Changchun 1300624 Chinese Academy of Meteorological Sciences,Beijing 100081;A Review of JFNK Methods and Its Applications in Atmospheric Non-Hydrostatical Model[J];Chinese Journal of Atmospheric Sciences;2006-05
7 Li Jianping and Chou Jifan (Department of Atmospheric Sciences, Lanzhou University, Lanzhou730000);The Qualitative Theory of the Dynamical Equations of Atmospheric Motion and Its Applications[J];SCIENTIA ATMOSPHERICA SINICA;1998-04
8 LIN Wan-tao~1, DONG Wen-jie~2 nd Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Beijing 100029, China; 2. START Regional Center for Temperate East Asia, Institute of Atmospheric Physics, Beijing 100029, China);THE COMPUTATIONAL GEOPHYSICAL FLUID DYNAMICS: REVIEW, PROGRESS AND PROSPECT[J];Advance in Earth Sciences;2004-04
9 ZHENG Hong-lian,ZHANG Ming (Institute of Meteorology, PLA Univ. of Sci. & Tech., Nanjing 211101, China);Implement of Non-Linear Iteration Time IntegralScheme in IAP AGCM-II Model and Its Simulation[J];Plateau Meteorology;2005-01
10 Zhang Yaqin; Cui Yongjun(Dept. of Fundmantial Science, Beijing 102206);Some Examples and Analysis for Nonlinear Computation Stability[J];JOURNAL OF NORTH CHINA ELECTRIC POWER UNIVERSITY;1999-03
【Co-references】
Chinese Journal Full-text Database 5 Hits
1 Ji Zhong-zhen Zeng Qing-cun (Institute of Atmospheric Physics, Academia Sinica);THE CONSTRUCTION AND APPLICATION OF DIFFERENCE SCHEMES OF EVOLUTION EQUATIONS[J];Chinese Journal of Atmospheric Sciences;1982-01
2 Ji Zhpngzhen and Wang Bin(LASG , Institute of Atmospheric Physics, Chinese Academy of Sciences);FURTHER DISCUSSION ON THE CONSTRUCTION AND APPLICATION OF DIFFERENCE SCHEME OF EVOLUTION EQUATIONS[J];Chinese Journal of Atmospheric Sciences;1991-02
3 Zeng Qing-cun;Ji Zhong-zhen;ON THE COMPUTATIONAL STABILITY OF EVOLUTION EQUATIONS[J];Mathematica Numerica Sinica;1981-01
4 Zeng Qing-cun Ji Zhong-zhen (Institute of Atmospheric Physics Academia Sinica);SOME PROBLEMS ON NONLINEAR COMPUTIONAL INSTABILITY[J];Acta Mechanica Sinica;1981-03
5 Lin Wantao and Ji Zhongzhen (State Key Laboratory of Numerical Modeling for Atmospheric Science and Geophysical Fluid Dynamics, Institute of Atmosphepic Physics, Chinese Academy of Science, Beijing 100029) Yang Xiaozhong (North China Electric Power Univer;A Comparative Analysis of the Computational Stability for the Difference Schemes of Linear and Non-Linear Evolution Equations[J];Climatic and Environmental Research;2001-01
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 Ji Zhong-zhen(Institute of Atmospheric Physics, Academia Sinica);NONLINEAR COMPUTATIONAL INSTABILITY[J];Chinese Journal of Atmospheric Sciences;1980-02
2 Chi Zhong-zhen (Institute of atmospheric physics, Academia Sinica);A COMPARATIVE ANALYSIS FOR NON-LINEAR COMPUTATIONAL STABILITY[J];Chinese Journal of Atmospheric Sciences;1980-04
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