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一种固有低维流形的计算方法 被引量:2
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作者 叶栋 邱榕 蒋勇 《燃烧科学与技术》 EI CAS CSCD 北大核心 2008年第3期269-274,共6页
介绍了一种基于动力系统理论的详细化学反应机理的简化方法——固有低维流形ILDM(intrinsic low di-mensional manifolds),描述了该方法的控制方程,并给出了一维流形的一种求解方法:首先利用CHEMKIN软件的Equilibrium模块算出化学反应... 介绍了一种基于动力系统理论的详细化学反应机理的简化方法——固有低维流形ILDM(intrinsic low di-mensional manifolds),描述了该方法的控制方程,并给出了一维流形的一种求解方法:首先利用CHEMKIN软件的Equilibrium模块算出化学反应系统平衡点的温度和摩尔分数得到一维流形上的一个点,然后以该点为初值向邻域扩展得到流形上其他的点.在向邻域扩展的过程中采用切向预测-修正的自适应延拓算法以避免步长过大而导致组分为负.一维流形的计算结果与文献中的计算结果一致,说明该方法是可行的. 展开更多
关键词 动力系统 固有低维流形 自适应算法 延拓方法 预测-修正方法
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Knowledge mining collaborative DESVM correction method in short-term load forecasting 被引量:3
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作者 牛东晓 王建军 刘金朋 《Journal of Central South University》 SCIE EI CAS 2011年第4期1211-1216,共6页
Short-term forecasting is a difficult problem because of the influence of non-linear factors and irregular events.A novel short-term forecasting method named TIK was proposed,in which ARMA forecasting model was used t... Short-term forecasting is a difficult problem because of the influence of non-linear factors and irregular events.A novel short-term forecasting method named TIK was proposed,in which ARMA forecasting model was used to consider the load time series trend forecasting,intelligence forecasting DESVR model was applied to estimate the non-linear influence,and knowledge mining methods were applied to correct the errors caused by irregular events.In order to prove the effectiveness of the proposed model,an application of the daily maximum load forecasting was evaluated.The experimental results show that the DESVR model improves the mean absolute percentage error(MAPE) from 2.82% to 2.55%,and the knowledge rules can improve the MAPE from 2.55% to 2.30%.Compared with the single ARMA forecasting method and ARMA combined SVR forecasting method,it can be proved that TIK method gains the best performance in short-term load forecasting. 展开更多
关键词 load forecasting support vector regression knowledge mining ARMA differential evolution
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THE MODIFIED METHOD OF CHARACTERISTICS WITH FINITE ELEMENT OPERATOR-SPLITTING PROCEDURES FOR COMPRESSIBLE MULTICOMPONENT DISPLACEMENT PROBLEM 被引量:1
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作者 YUAN Yirang (Institute of Mathematics, Shandong University, Jinan 250100, China) 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2003年第1期30-45,共16页
For the three-dimensional compressible multicomponent displacement problem we put forward the modified method of characteristics with finite element operator-splitting procedures and make use of operator-splitting,cha... For the three-dimensional compressible multicomponent displacement problem we put forward the modified method of characteristics with finite element operator-splitting procedures and make use of operator-splitting,characteristic method,calculus of variations,energy method,negative norm estimate,two kinds of test functions and the theory of prior estimates and techniques.Optimal order estimates in L^2 norm are derived for the error in the approximate solution.These methods have been successfully used in oil-gas resources estimation,enhanced oil recovery simulation and seawater intrusion numerical simulation. 展开更多
关键词 Multicomponent displacement 3-dimensional compressibility OPERATOR-SPLITTING characteristics finite element optimal order L2 error estimates.
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