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A New Technique for Constructing Higher-order Iterative Methods to Solve Nonlinear Systems
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作者 XIAO Xiaoyong 《应用数学》 北大核心 2025年第3期762-774,共13页
In this paper,a new technique is introduced to construct higher-order iterative methods for solving nonlinear systems.The order of convergence of some iterative methods can be improved by three at the cost of introduc... In this paper,a new technique is introduced to construct higher-order iterative methods for solving nonlinear systems.The order of convergence of some iterative methods can be improved by three at the cost of introducing only one additional evaluation of the function in each step.Furthermore,some new efficient methods with a higher-order of convergence are obtained by using only a single matrix inversion in each iteration.Analyses of convergence properties and computational efficiency of these new methods are made and testified by several numerical problems.By comparison,the new schemes are more efficient than the corresponding existing ones,particularly for large problem sizes. 展开更多
关键词 Systems of nonlinear equation Order of convergence Higher-order method Extended Newton iteration Computational efficiency
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A review of current studies on the unmanned aerial vehicle-based moving target tracking methods
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作者 Binbin Yan Yuxin Wei +3 位作者 Shuangxi Liu Wei Huang Ruizhe Feng Xiaoqian Chen 《Defence Technology(防务技术)》 2025年第9期201-219,共19页
Unmanned aerial vehicles(UAVs)have become crucial tools in moving target tracking due to their agility and ability to operate in complex,dynamic environments.UAVs must meet several requirements to achieve stable track... Unmanned aerial vehicles(UAVs)have become crucial tools in moving target tracking due to their agility and ability to operate in complex,dynamic environments.UAVs must meet several requirements to achieve stable tracking,including maintaining continuous target visibility amidst occlusions,ensuring flight safety,and achieving smooth trajectory planning.This paper reviews the latest advancements in UAV-based target tracking,highlighting information prediction,tracking strategies,and swarm cooperation.To address challenges including target visibility and occlusion,real-time prediction and tracking in dynamic environments,flight safety and coordination,resource management and energy efficiency,the paper identifies future research directions aimed at improving the performance,reliability,and scalability of UAV tracking system. 展开更多
关键词 Unmanned aerial vehicle(UAV) Tracking methods Moving targets Information prediction Tracking strategies Swarm cooperation
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Developments of numerical methods for linear and nonlinear fluid-solid interaction dynamics with applications 被引量:9
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作者 Jing Tang XING 《力学进展》 EI CSCD 北大核心 2016年第1期95-139,共45页
关键词 linear and nonlinear fluid-solid interactions MIXED FE-substructuremethod MIXED FE-BE METHOD MIXED FE-FD METHOD MIXED FE-SP METHOD fluidsloshing acoustic volume—structure coupling breaking WAVE simulations pressurewaves in fluids LNG ship VLFS-water interaction WAVE energy harvesting
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基于循环迭代法的近断层地震动速度脉冲参数提取
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作者 宋松科 闫桢绪 +3 位作者 李聪 权新蕊 常志旺 杨兵 《地震研究》 北大核心 2026年第1期132-138,共7页
为了自动化识别多脉冲记录,提出了一种基于循环迭代法的近断层脉冲型地震动参数化方法,对脉冲数、相位角、脉冲周期、脉冲能量等脉冲特性进行了参数化分析,并根据脉冲相关能量(PI_(v))定义3类脉冲属性:明显脉冲、中等脉冲和非脉冲;对64... 为了自动化识别多脉冲记录,提出了一种基于循环迭代法的近断层脉冲型地震动参数化方法,对脉冲数、相位角、脉冲周期、脉冲能量等脉冲特性进行了参数化分析,并根据脉冲相关能量(PI_(v))定义3类脉冲属性:明显脉冲、中等脉冲和非脉冲;对640条记录经过最大PGV法旋转后进行参数提取,得到了130组明显脉冲以及86组中等脉冲数据,给出了脉冲能量的分布规律。结果表明:循环迭代法可以有效提取近断层脉冲分量。大部分非脉冲记录的PI_(v)基本小于0.3,中等脉冲记录的PI_(v)为0.3~0.5,明显脉冲的PI_(v)大于0.5,PI_(v)与定义的3类脉冲属性具有明显相关性。 展开更多
关键词 近断层 速度脉冲 最大PGV方向 循环迭代法
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Fast-moving target tracking based on mean shift and frame-difference methods 被引量:32
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作者 Hongpeng Yin Yi Chai +1 位作者 Simon X. Yang Xiaoyan Yang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第4期587-592,共6页
The mean shift tracker has difficulty in tracking fast moving targets and suffers from tracking error accumulation problem. To overcome the limitations of the mean shift method, a new approach is proposed by integrati... The mean shift tracker has difficulty in tracking fast moving targets and suffers from tracking error accumulation problem. To overcome the limitations of the mean shift method, a new approach is proposed by integrating the mean shift algorithm and frame-difference methods. The rough position of the moving tar- get is first located by the direct frame-difference algorithm and three-frame-difference algorithm for the immobile camera scenes and mobile camera scenes, respectively. Then, the mean shift algorithm is used to achieve precise tracking of the target. Several tracking experiments show that the proposed method can effectively track first moving targets and overcome the tracking error accumulation problem. 展开更多
关键词 mean shift frame-difference method target tracking computer vision.
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EFFECT OF DIFFERENT OPERATION METHODS ON METHANE HYDRATE FORMATION 被引量:3
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作者 HAO Wenfeng~(1,2), FAN Shuanshi~2 and WANG Jinqu~1 (~1 Institute of Adsorption and Inorganic Membrane, Dalian University of Technology, Dalian 116012, Liaoning, China ~2 Guangzhou Institute of Energy Canversion, The Chinese Academy of Sciences, Guangzhou 510070, Guangdong, China) 《化工学报》 EI CAS CSCD 北大核心 2003年第z1期33-36,共4页
Three experiments of static state storage method, low-temperature and constant-pressure storage method and low-temperature and constant-pressure storage method were carried out to investigate which method was best in ... Three experiments of static state storage method, low-temperature and constant-pressure storage method and low-temperature and constant-pressure storage method were carried out to investigate which method was best in gas hydrate. The relationships of hydrate rate, capacity and liquid temperature versus time were derived and three results were contrasted. The experimental results show lowtemperature and constant-pressure method is better than the other two methods because it's operation period is shorter and storage capacity is larger than the other two. Low-temperature and constant-pressure method is the best method. So new method will be new research objective. 展开更多
关键词 effect operation method methane hydrate FORMATION
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Studyon Evaluation Methods for Lateral Stability of High-Speed Trains 被引量:5
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作者 YAO Jianwei SUN Lixia HOU Fuguo 《中国铁道科学》 EI CAS CSCD 北大核心 2012年第6期132-139,共8页
Taking a high-speed train in China as an example,using computer simulation technology and comparing with the test data,the three current methods including linear stability analysis method,nonlinear stability analysis ... Taking a high-speed train in China as an example,using computer simulation technology and comparing with the test data,the three current methods including linear stability analysis method,nonlinear stability analysis method and the field testing criterion are studied to evaluate stability of high-speed trains.A new stability evaluation method is proposed which can be used to evaluate lateral stability of high-speed vehicle based on the codes of UIC 515and UIC 518.From the viewpoint of taking the most unfavorable track conditions into account and improving the safety margin,the new method uses the root mean square of bogie lateral acceleration as a criterion to evaluate the lateral stability of high-speed trains.Numerical example shows that the proposed method not only considers the forced vibration caused by track irregularities in the actual practice,but also takes the instability self-excited vibration into account,so it can realize early warning of bogie slight unstable oscillation,meanwhile the method itself does not involve complex algorithms which has the possibility of engineering applications. 展开更多
关键词 High-speed train Lateral stability Critical speed Evaluation method
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Determination of initial cable force of cantilever casting concrete arch bridge using stress balance and influence matrix methods 被引量:12
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作者 TIAN Zhong-chu PENG Wen-ping +2 位作者 ZHANG Jian-ren JIANG Tian-yong DENG Yang 《Journal of Central South University》 SCIE EI CAS CSCD 2019年第11期3140-3155,共16页
Cantilever casting concrete arch bridge using form traveller has a broad application prospect.However,it is difficult to obtain reasonable initial cable force in construction stage.In this study,stress balance and inf... Cantilever casting concrete arch bridge using form traveller has a broad application prospect.However,it is difficult to obtain reasonable initial cable force in construction stage.In this study,stress balance and influence matrix methods were developed to determine the initial cable force of cantilever casting concrete arch bridge.The stress balance equation and influence matrix of arch rib critical section were established,and the buckle cable force range was determined by the allowable stress of arch rib critical section.Then a group of buckle cable forces were selected and substituted into the stress balance equation,and the reasonable initial buckle cable force was determined through iteration.Based on the principle of force balance,the initial anchor cable force was determined.In an engineering application example,it is shown that the stress balance and influence matrix methods for the determination of initial cable force are feasible and reliable.The initial cable forces of arch rib segments only need to be adjusted once in the corresponding construction process,which improves the working efficiency and reduces the construction risk.It is found that the methods have great advantages for determining initial cable force in cantilever casting construction process of concrete arch bridge. 展开更多
关键词 concrete arch bridge cantilever casting initial cable force stress balance method influence matrix method
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机器学习在地下水科学中的前沿进展与挑战
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作者 康金正 莫绍星 +4 位作者 康学远 党婧萱 程迟吉太 徐培杰 施小清 《地学前缘》 北大核心 2026年第1期483-499,共17页
地下水是全球淡水资源的重要组成部分,是保障可用水资源安全、生态系统稳定与人类社会可持续发展的关键支撑。作为一个深埋地下、动态变化且高度非均质的自然系统,地下水系统的观测、建模与管理长期面临诸多挑战,例如监测点位分布稀疏... 地下水是全球淡水资源的重要组成部分,是保障可用水资源安全、生态系统稳定与人类社会可持续发展的关键支撑。作为一个深埋地下、动态变化且高度非均质的自然系统,地下水系统的观测、建模与管理长期面临诸多挑战,例如监测点位分布稀疏和分布不均、物理过程高度非线性等。近年来,随着以机器学习方法为主的人工智能技术在特征提取、高维非线性建模和优化求解等多方面展现出的巨大潜力,推动地下水科学正逐步迈向数据驱动与智能建模相融合的新阶段。本文围绕地下水科学中的三类核心科学问题——要素刻画、过程建模与管理优化,系统性综述了机器学习在地下水研究中的典型应用场景与前沿进展,涵盖含水层结构刻画、水位水量与水质分析、正演预测、反向模拟、机制融合与地下水水资源管理等,并在此基础上归纳了以“科学问题数据驱动模型选取结果分析”为核心的机器学习方法在地下水科学中的研究框架。针对当前研究仍面临的若干关键挑战,如物理约束融合不足、模型泛化能力弱、结果可解释性差等问题,本文进一步探讨了未来的发展方向,包括多源异构数据融合、物理先验嵌入与因果推理方法等。本文旨在为地下水科学中机器学习方法的应用提供研究框架,并为融合机器学习的地下水智能化发展进行展望。 展开更多
关键词 地下水科学 机器学习方法 研究框架 前沿进展
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Stress initialization methods for dynamic numerical simulation of rock mass with high in-situ stress 被引量:31
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作者 YANG Jia-cai LIU Ke-wei +1 位作者 LI Xu-dong LIU Zhi-xiang 《Journal of Central South University》 SCIE EI CAS CSCD 2020年第10期3149-3162,共14页
In the context of deep rock engineering,the in-situ stress state is of major importance as it plays an important role in rock dynamic response behavior.Thus,stress initialization becomes crucial and is the first step ... In the context of deep rock engineering,the in-situ stress state is of major importance as it plays an important role in rock dynamic response behavior.Thus,stress initialization becomes crucial and is the first step for the dynamic response simulation of rock mass in a high in-situ stress field.In this paper,stress initialization methods,including their principles and operating procedures for reproducing steady in-situ stress state in LS-DYNA,are first introduced.Then the most popular four methods,i.e.,explicit dynamic relaxation(DR)method,implicit-explicit sequence method,Dynain file method and quasi-static method,are exemplified through a case analysis by using the RHT and plastic hardening rock material models to simulate rock blasting under in-situ stress condition.Based on the simulations,it is concluded that the stress initialization results obtained by implicit-explicit sequence method and dynain file method are closely related to the rock material model,and the explicit DR method has an obvious advantage in solution time when compared to other methods.Besides that,it is recommended to adopt two separate analyses for the whole numerical simulation of rock mass under the combined action of in-situ stress and dynamic disturbance. 展开更多
关键词 in-situ stress stress initialization method dynamic disturbance numerical simulation rock mass
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Fully implicational methods for approximate reasoning based on interval-valued fuzzy sets 被引量:4
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作者 Huawen Liu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第2期224-232,共9页
The aim of this paper is to discuss the approximate rea- soning problems with interval-valued fuzzy environments based on the fully implicational idea. First, this paper constructs a class of interval-valued fuzzy imp... The aim of this paper is to discuss the approximate rea- soning problems with interval-valued fuzzy environments based on the fully implicational idea. First, this paper constructs a class of interval-valued fuzzy implications by means of a type of impli- cations and a parameter on the unit interval, then uses them to establish fully implicational reasoning methods for interval-valued fuzzy modus ponens (IFMP) and interval-valued fuzzy modus tel- lens (IFMT) problems. At the same time the reversibility properties of these methods are analyzed and the reversible conditions are given. It is shown that the existing unified forms of α-triple I (the abbreviation of triple implications) methods for FMP and FMT can be seen as the particular cases of our methods for IFMP and IFMT. 展开更多
关键词 approximate reasoning interval-valued fuzzy set interval-valued fuzzy implication fully implicational method re- versibility.
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Study of nonlinear filter methods: particle filter 被引量:2
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作者 Zhang Weiming Du Gang +1 位作者 Zhong Shan Zhang Yanhua 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第1期1-5,共5页
Extended Kalman filter (EKF) is one of the most widely used methods for nonlinear system estimation. A new filtering algorithm, called particle filtering (PF) is introduced. PF can yield better performance than th... Extended Kalman filter (EKF) is one of the most widely used methods for nonlinear system estimation. A new filtering algorithm, called particle filtering (PF) is introduced. PF can yield better performance than that of EKF, because PF does not involve the linearization approximating to nonlinear systems, that is required by the EKF. PF has been shown to be a superior alternative to the EKF in a variety of applications. The base idea of PF is the approximation of relevant probabifity distributions using the concepts of sequential importance sampling and approximation of probability distributions using a set of discrete random samples with associated weights. PF methods still need to be improved in the aspects of accuracy and calculating speed. 展开更多
关键词 NONLINEAR extended Kalman filter particle filter Monte Carlo methods.
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College English Teaching Methods In Practice
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作者 张云风 《陕西师范大学学报(哲学社会科学版)》 CSSCI 北大核心 2002年第S1期303-304,共2页
This paper briefly presents some typical problems in EFL teaching in China at first. Then, some practical methods in EFL teaching are suggested. It indicates that an English teacher should not only teach the students ... This paper briefly presents some typical problems in EFL teaching in China at first. Then, some practical methods in EFL teaching are suggested. It indicates that an English teacher should not only teach the students linguistic knowledge but also cultivate their competence to use the language. 展开更多
关键词 College English TEACHING methods
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不同培育方式朝鲜淫羊藿品质及土壤特性
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作者 侯会玲 李涵冰 +3 位作者 李艳霞 向光亿 张永刚 李晓宇 《东北林业大学学报》 北大核心 2026年第1期110-117,共8页
探究不同培育方式对朝鲜淫羊藿(Epimedium koreanum Nakai)品质的影响,并分析其与根际土壤特性之间的相关性,以丰富其生态种植理论,为高品质栽培技术提供科学依据。以野生抚育(WT)、林下仿生栽培(FP)和拟境栽培(SC)3种培育方式的朝鲜淫... 探究不同培育方式对朝鲜淫羊藿(Epimedium koreanum Nakai)品质的影响,并分析其与根际土壤特性之间的相关性,以丰富其生态种植理论,为高品质栽培技术提供科学依据。以野生抚育(WT)、林下仿生栽培(FP)和拟境栽培(SC)3种培育方式的朝鲜淫羊藿为对象,比较分析朝鲜淫羊藿品质、根际土壤理化性质及酶活性的动态变化和相互关系。结果表明:黄酮醇苷类及总黄酮等活性成分的质量分数由大到小总体表现为SC、FP、WT,且在7月下旬至8月下旬期间积累趋于稳定。相关性分析显示,土壤全钾与活性成分质量分数呈极显著正相关(P<0.01),速效磷与朝藿定B、总黄酮醇苷呈正相关(P<0.05);而有机质、全氮及土壤酶活性则与活性成分呈显著负相关(P<0.05)。综合实际生产效益,建议推广林下仿生栽培模式,并在土壤管理过程中采取“控氮、增磷钾”的施肥策略。 展开更多
关键词 朝鲜淫羊藿 培育方式 药材质量 土壤因子
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Introduction of firefighting methods in U.S. underground mines 被引量:1
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作者 ZHANG Xi-chen ZHANG Yu-tao Jerry C. Tien 《西安科技大学学报》 CAS 北大核心 2011年第6期672-678,697,共8页
Underground mine fire always exists since the mining activity was practiced.It poses a severe safety hazard to the mine workers and may also cause a tremendous economic loss to the mines.Methods for controlling and ex... Underground mine fire always exists since the mining activity was practiced.It poses a severe safety hazard to the mine workers and may also cause a tremendous economic loss to the mines.Methods for controlling and extinguishing fires in underground mine have long been studied and there have been significant improvements.In order to know clearly about the firefighting technology used,this paper summarizes most of the underground mine firefighting methods used in the United States the past 150 years.This paper describes not only the accepted firefighting theories,but also the technologies,both direct and indirect attacking,in accordance to regulations or codes,with special attention is given to the indirect attack method and its related technologies.Further research needed is also briefly discussed at the end of this paper. 展开更多
关键词 FIREFIGHTING extinguishing agent attack method remote sealing
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Multi-attributed decision making for mining methods based on grey system and interval numbers 被引量:8
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作者 刘浪 陈建宏 +1 位作者 王革民 劳德正 《Journal of Central South University》 SCIE EI CAS 2013年第4期1029-1033,共5页
In the case of unknown weights, theories of multi-attributed decision making based on interval numbers and grey related analysis were used to optimize mining methods. As the representative of independence for the indi... In the case of unknown weights, theories of multi-attributed decision making based on interval numbers and grey related analysis were used to optimize mining methods. As the representative of independence for the indicator, the smaller the correlation of indicators is, the greater the weight is. Hence, the weights of interval numbers of indicators were determined by using correlation coefficient. Relative closeness based on positive and negative ideal methods was calculated by introducing distance between interval numbers, which made decision making more rational and comprehensive. A new method of ranking interval numbers based on normal distribution was proposed for the optimization of mining methods, whose basic properties were discussed. Finally, the feasibility and effectiveness of this method were verified by theories and practice. 展开更多
关键词 mining method interval number multi-attributed decision making grey related analysis correlation coefficient normaldistribution RANKING
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3-D numerical modelling of Domino failure of hard rock pillars in Fetr6 Chromite Mine, Iran, and comparison with empirical methods 被引量:12
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作者 S.Dehghan K.Shahriar +1 位作者 P.Maarefvand K.Goshtasbi 《Journal of Central South University》 SCIE EI CAS 2013年第2期541-549,共9页
Fetr6 is an underground mine using the stope-and-pillar mining method. As there was some evidence regarding pillar failure in this mine, improving works such as roof support and replacing existing pillars with concret... Fetr6 is an underground mine using the stope-and-pillar mining method. As there was some evidence regarding pillar failure in this mine, improving works such as roof support and replacing existing pillars with concrete pillars (CP) were carried out. During the construction of the second CP, in the space between the remaining pillars, one of the pillars failed leading to the progressive failure of other pillars until 4 000 m 2 of mine had collapsed within a few minutes. In this work, this phenomenon is described by applying both numerical and empirical methods and the respective results are compared. The results of numerical modelling are found to be closer to the actual condition than those of the empirical method. Also, a width-to-height (W/H) ratio less than 1, an inadequate support system and the absence of a detailed program for pillar recovery are shown to be the most important causes of the Domino failure in this mine. 展开更多
关键词 hard rock Domino failure numerical modelling empirical method STOPE PILLAR extraction ratio W/H ratio
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A class of twostep continuity Runge-Kutta methods for solving singular delay differential equations and its convergence 被引量:1
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作者 Leng Xin Liu Degui +1 位作者 Song Xiaoqiu Chen Lirong 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第4期908-916,共9页
An idea of relaxing the effect of delay when computing the Runge-Kutta stages in the current step and a class of two-step continuity Runge-Kutta methods (TSCRK) is presented. Their construction, their order conditio... An idea of relaxing the effect of delay when computing the Runge-Kutta stages in the current step and a class of two-step continuity Runge-Kutta methods (TSCRK) is presented. Their construction, their order conditions and their convergence are studied. The two-step continuity Runge-Kutta methods possess good numerical stability properties and higher stage-order, and keep the explicit process of computing the Runge-Kutta stages. The numerical experiments show that the TSCRK methods are efficient. 展开更多
关键词 CONVERGENCE singular delay differential equations two-step continuity Runge-Kutta methods.
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Solving single-frequency phase ambiguity using parameter weights fitting and constrained equation ambiguity resolution methods 被引量:6
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作者 阳仁贵 欧吉坤 +3 位作者 袁运斌 张克非 闻德保 Ron Grenfell 《Journal of Central South University of Technology》 EI 2006年第1期93-98,共6页
Based on the structural characteristics of the double-differenced normal equation, a new method was proposed to resolve the ambiguity float solution through a selection of parameter weights to construct an appropriate... Based on the structural characteristics of the double-differenced normal equation, a new method was proposed to resolve the ambiguity float solution through a selection of parameter weights to construct an appropriate regularized matrix, and a singular decomposition method was used to generate regularization parameters. Numerical test results suggest that the regularized ambiguity float solution is more stable and reliable than the least-squares float solution. The mean square error matrix of the new method possesses a lower correlation than the variancecovariance matrix of the least-squares estimation. The size of the ambiguity search space is reduced and the search efficiency is improved. The success rate of the integer ambiguity searching process is improved significantly when the ambiguity resolution by using constraint equation method is used to determine the correct ambiguity integervector. The ambiguity resolution by using constraint equation method requires an initial input of the ambiguity float solution candidates which are obtained from the LAMBDA method in the new method. In addition, the observation time required to fix reliable integer ambiguities can he significantly reduced. 展开更多
关键词 global position system ill-conditioned state parameter weight fitting method constraint equation integer ambiguity
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Numerical and experimental evaluation on methods for parameter identification of thermal response tests 被引量:3
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作者 王沣浩 冯琛琛 +1 位作者 颜亮 王新轲 《Journal of Central South University》 SCIE EI CAS 2012年第3期816-823,共8页
Several parameter identification methods of thermal response test were evaluated through numerical and experimental study.A three-dimensional finite-volume numerical model was established under the assumption that the... Several parameter identification methods of thermal response test were evaluated through numerical and experimental study.A three-dimensional finite-volume numerical model was established under the assumption that the soil thermal conductivity had been known in the simulation of thermal response test.The thermal response curve was firstly obtained through numerical calculation.Then,the accuracy of the numerical model was verified with measured data obtained through a thermal response test.Based on the numerical and experimental thermal response curves,the thermal conductivity of the soil was calculated by different parameter identification methods.The calculated results were compared with the assumed value and then the accuracy of these methods was evaluated.Furthermore,the effects of test time,variable data quality,borehole radius,initial ground temperature,and heat injection rate were analyzed.The results show that the method based on cylinder-source model has a low precision and the identified thermal conductivity decreases with an increase in borehole radius.For parameter estimation,the measuring accuracy of the initial temperature of the deep ground soil has greater effect on identified thermal conductivity. 展开更多
关键词 ground source heat pump thermal response parameter identification method numerical simulation
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