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相对微分/差分法搜索非线性规划极值点的充分条件 被引量:2
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作者 孙焕纯 王跃方 柴山 《大连理工大学学报》 EI CAS CSCD 北大核心 2006年第4期478-483,共6页
求解非线性规划有两个问题:一是采用搜索算法时如何判断搜索的结束,二是如何确定所得到的解是局部最优解还是全局最优解.过去一般基于容许误差法解决第一个问题,而第二个问题迄今没有解决.为此给出了两个极值点的充分条件,这是解决第一... 求解非线性规划有两个问题:一是采用搜索算法时如何判断搜索的结束,二是如何确定所得到的解是局部最优解还是全局最优解.过去一般基于容许误差法解决第一个问题,而第二个问题迄今没有解决.为此给出了两个极值点的充分条件,这是解决第一个问题的一个新方法;给出了判断局部极值点和全局极值点的方法,解决了第二个问题.应用相对微分/差分法解连续和离散非线性规划,在搜索过程中一旦满足了两个充分条件之一,就达到了极值点.根据搜索方向很容易确定极值点是极大点还是极小点.算例表明这两个充分条件对结束搜索有着实用意义. 展开更多
关键词 极值点 充分条件 非线性规划 离散规划 相对微分/差分法
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不同下垫面的土壤水分时间稳定性分析 被引量:4
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作者 赵娜娜 李传哲 +3 位作者 刘佳 穆文彬 于福亮 邢九平 《南水北调与水利科技》 CAS CSCD 北大核心 2015年第4期765-770,共6页
时间稳定性是分析土壤水分时空变异性的重要因素,对土壤水分时间稳定性的分析可为区域土壤墒情的预测及水资源量的评估、以及水文模型的发展等提供依据。在2m2坡面尺度上,采用EC-5土壤水分传感器对四种土地利用类型(玉米、小麦、草地和... 时间稳定性是分析土壤水分时空变异性的重要因素,对土壤水分时间稳定性的分析可为区域土壤墒情的预测及水资源量的评估、以及水文模型的发展等提供依据。在2m2坡面尺度上,采用EC-5土壤水分传感器对四种土地利用类型(玉米、小麦、草地和裸地)在两种坡度(5°、15°)下浅层土壤水分的时间稳定性进行分析。基于相对差分法和Spearman秩相关系数分析法研究得出:不同植被类型、坡度下浅层土壤水分具有一定的时间稳定性,其不同深度的平均相对偏差(MRD)及其标准差均很小;不同坡度间的土壤水分时间稳定性差异不显著,而植被类型对土壤水分时间稳定性影响较大,相比而言,玉米和草地的土壤水分标准差相对较大,土壤水分时间稳定性明显低于小麦和裸地。 展开更多
关键词 土壤水分 时间稳定性 植被类型 坡度 spearman秩相关系数 相对差分法
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多变量、多约束连续或离散的非线性规划的一个通用算法 被引量:6
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作者 孙焕纯 王跃方 柴山 《应用数学和力学》 EI CSCD 北大核心 2005年第10期1168-1174,共7页
利用目标函数对约束函数关于设计变量的一阶微分或差分之比,给出了一个求解非线性规划的通用算法.不论变量和约束有多少,也不论变量是连续的还是离散的,这一算法都比较有效,尤其对离散非线性规划更有效.该方法是一种搜索法,勿需解任何... 利用目标函数对约束函数关于设计变量的一阶微分或差分之比,给出了一个求解非线性规划的通用算法.不论变量和约束有多少,也不论变量是连续的还是离散的,这一算法都比较有效,尤其对离散非线性规划更有效.该方法是一种搜索法,勿需解任何数学方程,只需要计算函数值以及函数对变量的偏微分或差分值.许多数值例题和运筹学中一些经典问题,如1)一、二维的背包问题;2)一、二维资源分配问题;3)复合系统工作可靠性问题;4)机器负荷问题等,经用此法求解验证均较传统方法更有效和可靠.该方法的主要优点是:1)不受问题的规模限制;2)只要在可行域(集)内存在目标函数和约束函数及其一阶导数或差分的值,肯定可以搜索到最优的解,没有不收敛和不稳定的问题. 展开更多
关键词 连续或离散非线性规划 搜索算法 相对微分/差分法
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Numerical Simulation of Nonlinear Wave Force on a Quasi-ellipse Caisson 被引量:4
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作者 YongxueWang Xiaozhong Ren GuoyuWang 《Journal of Marine Science and Application》 2011年第3期265-271,共7页
A three dimensional numerical model of nonlinear wave action on a quasi-ellipse caisson in a time domain was developed in this paper. Navier-Stokes equations were solved by the finite difference method, and the volume... A three dimensional numerical model of nonlinear wave action on a quasi-ellipse caisson in a time domain was developed in this paper. Navier-Stokes equations were solved by the finite difference method, and the volume of fluid (VOF) method was employed to trace the free surface. The partial cell method was used to deal with the irregular boundary typical of this type of problem during first-time wave interaction with the structure, and a satisfactory result was obtained. The numerical model was verified and used to investigate the effects of the relative wave height H/d, relative caisson width kD, and relative length-width ratio B/D on the wave forces of the quasi-ellipse caisson. It was shown that the relative wave height H/d has a significant effect on the wave forces of the caisson. Compared with the non-dimensional inline wave force, the relative length-width ratio BID was shown to have significant influence on the non-dimensional transverse wave force. 展开更多
关键词 quasi-ellipse caisson wave force VOF method partial cell method
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Membrane preconcentration of iron in seawater samples and on-site determination in spectrophotometry 被引量:9
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作者 彭园珍 袁东星 +2 位作者 黄勇明 姜涛 刘宝敏 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 2012年第2期315-320,共6页
A novel method for on-site determination of trace iron was developed using membrane preconcentration and spectrophotometric detection. Fe(II)-ferrozine complex was reacted with cetyltrimethylammonium bromide (CTAB... A novel method for on-site determination of trace iron was developed using membrane preconcentration and spectrophotometric detection. Fe(II)-ferrozine complex was reacted with cetyltrimethylammonium bromide (CTAB) to form a Fe(II)-ferrozine-CTAB paired compound, which was collected on a membrane by filtration under vacuum. The membrane was immersed in 2 mL of ethanol-nitric acid and the absorbance of the solution measured for quantitative analysis. Various factors affecting the iron collection and determination were investigated. With different sample preconcentration volumes, the range of determination was broadened to 0.5-120 ~tg/L. The detection limit of this method reached 0.19 ktg/L and the recoveries were between 97.2 and 109% when the concentration enrichment was about 45. The relative standard deviation (n = 7) was 1.9% for samples containing 10 ~g/L Fe. Twelve seawater samples were analyzed on-site using the proposed method, and two were also analyzed in inductively coupled plasma mass spectrometry. No significant difference was shown between the two methods by the Student's t-test. The method has also been used on-site for iron enrichment experiments with phytoplankton and concluded to be simple, accurate and inexpensive. 展开更多
关键词 IRON membrane filtration spectrophotometric detection
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Determation method for water content of diesel contaminated soil
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作者 HE Xiaohong CHEN Hui'e +1 位作者 FU Rui GAO Yue 《Global Geology》 2014年第1期44-47,共4页
With the increasing researches on geotechnical properties of the diesel contaminated soil( DCS),the water content measured is indispensable part during the early period. In this study,the relative error of water conte... With the increasing researches on geotechnical properties of the diesel contaminated soil( DCS),the water content measured is indispensable part during the early period. In this study,the relative error of water content measurement using the traditional method is as high as 20. 78%,which is no longer suitable for contaminated soil. Through a series of tests to measure the loss coefficient of diesel in the drying time,the authors finally proposed a modified calculation formula for test samples. The results show that the maximum relative error calculated by using the modified formula is 0. 96%,far lower than that of traditional formula,which can provide accurate data for further study of diesel contaminated soil. 展开更多
关键词 diesel contaminated soil water content diesel drying loss coefficient modified calculation formula
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