PERTURBATION_METHOD

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A Singular Perturbation Method for Parametric Investigation on J-lay Installation of Deepwater Pipelines被引量：3
《China Ocean Engineering》2013年第6期751-766,共16页王琴 段梦兰 李海明 张庆元 
financially supported by the National Basic Research Program of China(Grant No.2011CB013702);the National Natural Science Foundation of China(Grant No.50979113).1
The maximum bending moment or curvature in the neighborhood of the touch down point （TDP） and the maximum tension at the top are two key parameters to be controlled during deepwater J-lay installation in order to en...
关键词：deepwater touch down point singular perturbation technique non-linear governing differential equation J-lay of pipeline geometric nonlinearity stiffened catenary 
Approximate Similarity Reduction for Perturbed Kaup-Kupershmidt Equation via Lie Symmetry Method and Direct Method
《Communications in Theoretical Physics》2010年第11期797-802,共6页刘希忠 
Supported by the National Natural Science Foundation of China under Grant Nos.10735030,10475055,10675065,and 90503006;National Basic Research Program of China (973 Program 2007CB814800)
The perturbed Kaup-Kupershmidt equation is investigated in terms of the approximate symmetry perturbationmethod and the approximate direct method.The similarity reduction solutions of different orders are obtainedfor ...
关键词：perturbed Kaup-Kupershmidt equation approximate symmetry perturbation method approxi-mate direct reduction method series reduction solutions 
Application of singular perturbation method in analyzing traffic density waves
《Journal of Shanghai University(English Edition)》2009年第1期6-11,共6页沈飞英 葛红霞 雷丽 
supported by the National Basic Research Program of China (Grant No.2006CB705500);the National Natural Science Foundation of China (Grant Nos.10532060, 10602025, 10802042);the Natural Science Foundation of Ningbo (Grant No.2007A610050)
Car following model is one of microscopic models for describing traffic flow. Through linear stability analysis, the neutral stability lines and the critical points are obtained for the different types of car followin...
关键词：traffic flow singular perturbation method car following models Korteweg-de-Vries （KdV） equations modified Korteweg-de-Vries （mKdV） equations 
The Maximum Principle for One Kind of Stochastic Optimization Problem and Application in Dynamic Measure of Risk被引量：4
《Acta Mathematica Sinica,English Series》2007年第12期2189-2204,共16页Shao Lin JI Zhen WU 
the National Basic Research Program of China (973 Program, No. 2007CB814900);the Natural Science Foundation of China (10671112);Shandong Province (Z2006A01);the New Century Excellent Young Teachers Program of Education Ministry of China
The authors get a maximum principle for one kind of stochastic optimization problem motivated by dynamic measure of risk. The dynamic measure of risk to an investor in a financial market can be studied in our framewor...
关键词：backward stochastic differential equation perturbation method Ekeland＇s variational principle dynamic measure of risk 
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