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NADARAYA-WATSON ESTIMATORS FOR REFLECTED STOCHASTIC PROCESSES
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作者 韩月才 张丁文 《Acta Mathematica Scientia》 SCIE CSCD 2024年第1期143-160,共18页
We study the Nadaraya-Watson estimators for the drift function of two-sided reflected stochastic differential equations.The estimates,based on either the continuously observed process or the discretely observed proces... We study the Nadaraya-Watson estimators for the drift function of two-sided reflected stochastic differential equations.The estimates,based on either the continuously observed process or the discretely observed process,are considered.Under certain conditions,we prove the strong consistency and the asymptotic normality of the two estimators.Our method is also suitable for one-sided reflected stochastic differential equations.Simulation results demonstrate that the performance of our estimator is superior to that of the estimator proposed by Cholaquidis et al.(Stat Sin,2021,31:29-51).Several real data sets of the currency exchange rate are used to illustrate our proposed methodology. 展开更多
关键词 reflected stochastic differential equation discretely observed process continuously observed process Nadaraya-Watson estimator asymptotic behavior
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REFLECTED BACKWARD STOCHASTIC DIFFERENTIAL EQUATION WITH JUMPS AND VISCOSITY SOLUTION OF SECOND ORDER INTEGRO-DIFFERENTIAL EQUATION WITHOUT MONOTONICITY CONDITION: CASE WITH THE MEASURE OF LéVY INFINITE
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作者 Lamine SYLLA 《Acta Mathematica Scientia》 SCIE CSCD 2019年第3期819-844,共26页
We consider the problem of viscosity solution of integro-partial differential equation( IPDE in short) with one obstacle via the solution of reflected backward stochastic dif ferential equations(RBSDE in short) with j... We consider the problem of viscosity solution of integro-partial differential equation( IPDE in short) with one obstacle via the solution of reflected backward stochastic dif ferential equations(RBSDE in short) with jumps. We show the existence and uniqueness of a continuous viscosity solution of equation with non local terms, if the generator is not monotonous and Levy's measure is infinite. 展开更多
关键词 Integro-partial differential equation reflected stochastic differential equations with JUMPS viscosity solution NON-LOCAL operator
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A practical and effective method for reducing differential reflectance spectroscopy noise
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作者 Hui Qi Xing Fu 《Nanotechnology and Precision Engineering》 CAS CSCD 2022年第1期49-53,共5页
Differential reflectance spectroscopy(DRS)is a powerful tool to study processes during thin-film growth,especially that of transition metal dichalcogenides and organic thin films.To satisfy the requirements for in sit... Differential reflectance spectroscopy(DRS)is a powerful tool to study processes during thin-film growth,especially that of transition metal dichalcogenides and organic thin films.To satisfy the requirements for in situ and real-time monitoring of film growth,including spectral resolution and sensitivity at the level of monolayers and even sub-monolayers,the most challenging technical task in DRS is to reduce noise to an extremely low level so that the best possible signal-to-noise ratio can be achieved.In this paper,we present a simplified and cost-effective DRS apparatus,with which we show that the measurement noise is mainly composed of thermal drift noise and explore the temperature-dependence of the DRS signal.Based on the results obtained,we propose an easily realized and effective scheme aiming to reduce the noise.Experimental results demonstrate that this scheme is effective in stabilizing reliable signals for a long period of several hours.Significant noise reduction is achieved,with the typical average noise of the DRS system being decreased to 0.05%over several hours.The improved DRS system is applied to study the growth of an organic semiconductor layer for an organic field-effect transistor device.The results indicate that the apparatus proposed in this paper has potential applications in fabrication of devices on the nanoscale and even the sub-nanoscale. 展开更多
关键词 differential reflectance spectroscopy Thin-film measurement technique In situ spectroscopy High vacuum Noise reduction OFET
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STABILITY OF DIFFERENTIAL SYSTEMS 被引量:2
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作者 Zhou Zhengxin 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2006年第3期327-334,共8页
This article deals with the reflecting function of the differential systems. The results are applied to discuss the stability of these differential systems.
关键词 reflective function STABILITY differential system.
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Reflections on Tools and Methods for Differentiated Assessments of Individual Scientists, Groups of Scientists and Scientific Journals 被引量:1
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作者 Ronald Rousseau Xiaolin Zhang 《Journal of Data and Information Science》 CSCD 2019年第3期1-5,共5页
Requirements for research assessments There are huge differences in mission, emphasis, inherent capability, and targeted utilization of research among scientific institutions. Hence, when it comes to assessments, a on... Requirements for research assessments There are huge differences in mission, emphasis, inherent capability, and targeted utilization of research among scientific institutions. Hence, when it comes to assessments, a one-size-fits-all approach cannot meet the goal(s) of these assessments. Probably even larger differences exist between individuals, research teams and departments. 展开更多
关键词 reflectIONS TOOLS and METHODS differentiATED Assessments of INDIVIDUAL Scientists
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Organic matter pores in the chang 7 lacustrine shales from the Ordos Basin and its effect on reflectance measurement
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作者 Peng Pang Hui Han +7 位作者 Xiu-Cheng Tan Shi-Meng Ren Chen Guo Lin Xie Ling-Li Zheng Hai-Hua Zhu Yuan Gao Yun-Hui Xie 《Petroleum Science》 SCIE EI CAS CSCD 2023年第1期60-86,共27页
To quantify the pore characteristics of various macerals in Chang 7 lacustrine shales,macerals were effectively identified according to their optical and morphological characteristics,and the nanoscale pore structure ... To quantify the pore characteristics of various macerals in Chang 7 lacustrine shales,macerals were effectively identified according to their optical and morphological characteristics,and the nanoscale pore structure of macerals was observed by scanning electron microscope.Meanwhile,the reflectances of different positions in the same pieces of vitrinite or solid bitumen with heterogeneous pores development were measured.The results showed that the average contents of sapropelinite,liptinite,vitrinite,inertinite and solid bitumen are 42.7%,8.7%,13.6%,13.8% and 21.2%,respectively,which suggests that the source of the organic matter of the Chang 7 shales is a mixed source input.The organic pores of Chang 7 shales are enriched,and the pore shapes are mostly round or elliptical.The pore size of organic pores has a wide distribution,mainly concentrate in the range of 100-400 nm,and the average plane porosity of organic pores is 10.13%.The size order of the organic pores in various macerals is:solid bitumen<bituminite<alginite<vitrinite<fusinite<liptinite.The abundance order of organic matter pores of each maceral is as follows:alginite>fusinite>bituminite>solid bitumen>vitrinite>liptinite.OM pores are mainly contributed by bituminite,solid bitumen and fusinite.The plane porosity of bituminite increases with maturity.In the process of thermal evolution,the plane porosity of fusinite is distributed in the two ranges of 20%-28% and 1%-7%.The former is mainly the primary pores of the fusinite itself,and the latter is the secondary pores formed in the thermal evolution.As for the organic pores of other macerals,no obvious thermal evolution law was found.Meanwhile,the surface imperfections of vitrinite or solid bitumen is enhanced by the enrichment of organic pores(an increase in pore size or pore number),which may result in the underestimation of their reflectances. 展开更多
关键词 Ordos Basin Chang 7 member OM pore MACERALS differential developmental characteristics reflectance
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Spatial differentiation and dynamic mechanism of micro-geomorphology based on acoustic spectrum data of the Huanghe(Yellow)River Delta
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作者 Ping LI Yongde JIN +1 位作者 Wei GAO Xiaolong ZHAO 《Journal of Oceanology and Limnology》 SCIE CAS CSCD 2023年第6期2077-2089,共13页
Submarine micro-geomorphology is a geo-morphological type occurring in shallow and surface areas of seabed.The combined relationships and distribution of the micro-geomorphology indirectly reflect coupling relationshi... Submarine micro-geomorphology is a geo-morphological type occurring in shallow and surface areas of seabed.The combined relationships and distribution of the micro-geomorphology indirectly reflect coupling relationships among the sediment deposition,dynamic environment,and geomorphologic evolution.Spatial differentiation and dynamic changes in micro-geomorphology were studied based on acoustic data interpretation from a wide range(3200 km^(2))of the Huanghe(Yellow)River delta(HRD).The combination of the sub-bottom profiler and the side-scan sonar methods allowed for the identification of submarine shallow micro-geomorphologic types,as well as their scale and spatial distributions.There were seven typical micro-geomorphologic features in the shallow and surface areas of the HRD,including buried ancient channels,stratigraphic disturbances,scour troughs,sand waves,pits,erosional remnants,and sand spots.The coupling and superposition of the sediment,sediment characteristics,seabed scouring and silting,and hydrodynamic conditions of the Huanghe River had combined effects on the patterns of micro-geomorphologic types,characteristics,and ranges.From the perspective of acoustic profile interpretations,the scale,range,and spatial locations of the microgeomorphology in the HRD revealed seasonal variation characteristics,and the spatial distributions displayed significant regional differentiation characteristics.In addition,strong stratigraphic disturbances and areas with densely distributed buried ancient channels reflected the activity and instability of the submarine shallow strata.Through the interpretation of the sub-bottom profile detection data,the diversion processes of the flow paths in the lower reaches of the Huanghe River were obtained for a certain historical period in the coastal waters of the HRD.This study further clarified the relationships between the micro-geomorphologic features and spatial combinations,which is important for research on micro-geomorphologic features and their dynamic mechanisms. 展开更多
关键词 Huanghe(Yellow)River delta(HRD) micro-geomorphology acoustic reflection characteristics spatial differentiation dynamic mechanisms
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两次森林火灾的双偏振雷达探测特征分析
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作者 朱君鉴 苏添记 +2 位作者 龚佃利 张持岸 孙剑 《海洋气象学报》 2024年第3期14-22,共9页
通过对2020年3月17日山东烟台、4月23日山东青岛发生的两次森林火灾的双偏振雷达探测资料进行分析,结果表明:(1)森林火灾燃烧产生的灰烬上升到空中,随环境风向下风方飘散,形成烟羽,烟羽的雷达反射率因子在20 dBZ左右,火灾点上空很小范... 通过对2020年3月17日山东烟台、4月23日山东青岛发生的两次森林火灾的双偏振雷达探测资料进行分析,结果表明:(1)森林火灾燃烧产生的灰烬上升到空中,随环境风向下风方飘散,形成烟羽,烟羽的雷达反射率因子在20 dBZ左右,火灾点上空很小范围最大值达36 dBZ。(2)两次山火的灰烬飘浮物随环境风向下游扩散的最远距离分别是65 km和94 km,最高上升高度分别达3.7 km和4.8 km。(3)追踪烟羽的前沿可以估算相应高度上环境风的速度;两次火灾都发生在晴天,环境风速不大,除了烟羽边缘位置速度谱宽值较大外,其余部分速度谱宽都很小,大部分为1~2 m·s^(-1)。(4)相关系数(C_(c))、差分反射率(Z_(DR))和差分相移(ΦDP)探测到的范围与雷达反射率因子的演变形态和面积接近,同样随烟羽的扩散而逐渐增大;C_(c)值非常小,大多数区域小于0.9,少数距离库库元的C_(c)值低于0.5;火灾点上空的Z_(DR)值有相对较小的区域,为2~3 dB,而火灾点下风方,大部分Z_(DR)值都很大,大多超过5 dB。(5)两次森林火灾的双偏振探测特征表明,产生回波的反射物主要是干草、松针等燃烧后的灰烬形成的水平尺度较大的非球形粒子反射物。 展开更多
关键词 山火烟羽 双偏振雷达 相关系数(C_(c)) 差分反射率(z_(DR)) 探测特征
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STUDY ON RAINFALL MEASUREMENT AND RAINDROP SPECTRA WITH THE DIFFERENTIAL REFLECTIVITY Z_(DR)TECHNIQUE OF A DUAL LINEAR POLARIZATION RADAR
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作者 张鸿发 张义军 +1 位作者 郄秀书 徐宝祥 《Acta meteorologica Sinica》 SCIE 1999年第1期115-128,共14页
In this paper,it is shown that the differential reflectivity Z_(DR) is related to drop size distribution(DSD)and the spectral shape variation of different truncated diameters.Z_(DR) is a sensitive function to variatio... In this paper,it is shown that the differential reflectivity Z_(DR) is related to drop size distribution(DSD)and the spectral shape variation of different truncated diameters.Z_(DR) is a sensitive function to variation of DSD of the spectra.The effects of shape variation of DSD on rainfall can be deduced with a(Z_H,Z_(DR))dual-parameter technique,which is effective to improve the accuracy of rainfall measurement and is of the priority of identifying large particles of hydrometeors(especially hailstone)from the rain region. 展开更多
关键词 differential reflectivity z_(DR) drop size distribution(DSD) dual-parameter measurement technique accuracy of rain measurement polarization radar
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差分反射率Z_(DR)和反射率Ze测雨精度的对比分析 被引量:5
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作者 张鸿发 王致君 +3 位作者 徐宝祥 刘黎平 楚荣忠 蔡启铭 《大气科学》 CSCD 北大核心 1995年第1期31-39,共9页
本文根据大量不同类型降雨的雨滴谱资料,分析了两种雷达测雨与滴尺度分布的关系,模拟计算了双线偏振雷达可测到的(R/ZH)-ZDR和常规天气雷达可测到的Z—R经验关系和它们在测量降雨率精度的对比分析。表明差分反射率ZDR... 本文根据大量不同类型降雨的雨滴谱资料,分析了两种雷达测雨与滴尺度分布的关系,模拟计算了双线偏振雷达可测到的(R/ZH)-ZDR和常规天气雷达可测到的Z—R经验关系和它们在测量降雨率精度的对比分析。表明差分反射率ZDR对改进雷达测雨的精度有着明显的优势。 展开更多
关键词 双线偏振雷达 差分反射率 降水 测量精度
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天津区域鸟类活动的双偏振天气雷达回波分析
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作者 赵子杭 庄庭 +4 位作者 李建勇 李春 李宗飞 许崇海 史静 《气象》 CSCD 北大核心 2024年第9期1142-1152,共11页
利用2022年6月至2023年3月的宝坻S波段双偏振天气雷达资料,对探测到的天津区域空中生物活动进行分析,结果表明:天津区域空中生物活动存在明显的季节变化和日变化。雷达能够探测到的候鸟迁徙回波集中在2月下旬到11月下旬,其中湿地鸟类活... 利用2022年6月至2023年3月的宝坻S波段双偏振天气雷达资料,对探测到的天津区域空中生物活动进行分析,结果表明:天津区域空中生物活动存在明显的季节变化和日变化。雷达能够探测到的候鸟迁徙回波集中在2月下旬到11月下旬,其中湿地鸟类活动在夏季比较明显,候鸟迁徙活动在2月、11月特别频繁,鸟类回波出现的时刻与日出日落有明显的关联。其中,秋季鸟类活动特征较为明显,回波在反射率产品上呈现明显的类圆形特征,回波强度能达到35 dBz以上;从径向速度产品上可以看出,鸟类飞行时径向速度约在10~27 m·s^(-1);从相关系数(CC)产品上看,鸟类回波的CC整体数值较低,主要分布在0.1~0.8;从差分反射率(ZDR)产品上看,ZDR分布不均匀,最大可达3~5 dB。相比于单偏振天气雷达,S波段双偏振天气雷达对空中生物回波的识别有显著优势。 展开更多
关键词 S波段双偏振天气雷达 鸟类回波 回波强度 相关系数 差分反射率
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雨滴谱数据在S波段双偏振天气雷达数据质量评估中的应用
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作者 李力 徐芬 +1 位作者 刘希 陈刚 《气象》 CSCD 北大核心 2024年第2期210-220,共11页
结合T-Matrix方法和雨滴谱仪数据反演双偏振参量,设计了一种雨滴谱反演评估方法(雨滴谱法),利用其反演结果可对双偏振天气雷达数据进行评估。将此方法应用于不同类型降水过程的雷达偏振参量数据质量评估,结果表明:满足微雨条件时,雨滴... 结合T-Matrix方法和雨滴谱仪数据反演双偏振参量,设计了一种雨滴谱反演评估方法(雨滴谱法),利用其反演结果可对双偏振天气雷达数据进行评估。将此方法应用于不同类型降水过程的雷达偏振参量数据质量评估,结果表明:满足微雨条件时,雨滴谱法与传统的微雨滴法均能有效监测由雷达系统误差导致的观测偏差,且评估结果十分接近;不满足微雨条件时,雨滴谱法评估的不同类型降水过程的雷达数据质量与满足微雨条件下的评估结果十分接近,客观证明了系统调整后雷达运行良好、数据质量稳定;不同雨强(R)情况下,雨滴谱法的评估结果具有一致性。10 mm·h^(-1)≤R<20 mm·h^(-1)时,雷达观测的数据质量最为稳定。该雨滴谱法适用范围广,可动态评估双偏振雷达偏振参量质量,有助于雷达调整和数据校正。 展开更多
关键词 雨滴谱 双偏振天气雷达 质量评估 差分反射率因子
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含椭圆算子的反射随机偏微分方程
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作者 钱鸿超 李睿智 +1 位作者 桂业伟 彭君 《数学理论与应用》 2024年第1期16-30,共15页
本文考虑一类含椭圆算子的多维反射随机偏微分方程,其解被限制在一个有界凸区域内.本文将利用惩罚法建立其解的存在唯一性定理.
关键词 随机偏微分方程 反射 惩罚法 凸区域 椭圆算子
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天线仰角对双线偏振雷达探测Z_(DR)值的影响 被引量:2
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作者 胡方超 张培昌 王振会 《高原气象》 CSCD 北大核心 2013年第6期1658-1664,共7页
双线偏振雷达通过探测ZDR值可以识别降水中的粒子形状,但需要考虑抬高天线仰角时对ZDR的影响。根据双线偏振雷达探测小椭球粒子群的雷达气象方程,对Gamma雨滴谱采用数值模拟的方法研究了雷达天线仰角和粒子谱参数改变时和对粒子群旋转... 双线偏振雷达通过探测ZDR值可以识别降水中的粒子形状,但需要考虑抬高天线仰角时对ZDR的影响。根据双线偏振雷达探测小椭球粒子群的雷达气象方程,对Gamma雨滴谱采用数值模拟的方法研究了雷达天线仰角和粒子谱参数改变时和对粒子群旋转轴在空间作垂直一致取向时给ZDR值带来的影响,并确定使ZDR值变化不超过10%的最高仰角应<16.7°。这对提高ZDR的测量精度和偏振雷达估测降水的精度有一定意义。 展开更多
关键词 双线偏振雷达 差分反射率因子 旋转椭球粒子群 雷达气象方程
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基于群体划分的冠状病毒群体免疫优化算法
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作者 李博群 孙志锋 《上海交通大学学报》 EI CAS CSCD 北大核心 2024年第4期555-564,共10页
针对冠状病毒群体免疫优化(CHIO)算法收敛速度慢、求解精度低的问题,提出一种基于群体划分的冠状病毒群体免疫优化(SD-CHIO)算法.基于适应度均匀原则将初始群体划分为两部分,即全局寻优个体与局部寻优个体.对于全局寻优个体,在其位置更... 针对冠状病毒群体免疫优化(CHIO)算法收敛速度慢、求解精度低的问题,提出一种基于群体划分的冠状病毒群体免疫优化(SD-CHIO)算法.基于适应度均匀原则将初始群体划分为两部分,即全局寻优个体与局部寻优个体.对于全局寻优个体,在其位置更新中加入差分变异与漫反射变异策略,分别用来增强全局寻优个体之间的交流与群体多样性,从而提高算法的全局搜索能力.对于局部寻优个体,在其位置更新中引入一种自适应快速收敛策略:基于增量法进行精英预测,并加入一种自适应收敛系数使局部寻优个体能快速收敛至精英解,以提升算法的局部搜索能力.数值实验表明:SD-CHIO能够有效提高原算法的收敛速度与精度,并表现出明显优于其他元启发式算法的全局与局部搜索能力以及一定的工程价值. 展开更多
关键词 冠状病毒群体免疫优化算法 群体划分 自适应快速收敛 差分变异 漫反射变异
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Distribution dependent reflecting stochastic differential equations
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作者 Feng-Yu Wang 《Science China Mathematics》 SCIE CSCD 2023年第11期2411-2456,共46页
To characterize the Neumann problem for nonlinear Fokker-Planck equations,we investigate distribution dependent reflecting stochastic differential equations(DDRSDEs)in a domain.We first prove the well-posedness and es... To characterize the Neumann problem for nonlinear Fokker-Planck equations,we investigate distribution dependent reflecting stochastic differential equations(DDRSDEs)in a domain.We first prove the well-posedness and establish functional inequalities for reflecting stochastic differential equations with singular drifts,and then extend these results to DDRSDEs with singular or monotone coefficients,for which a general criterion deducing the well-posedness of DDRSDEs from that of reflecting stochastic differential equations is established. 展开更多
关键词 distribution dependent reflecting stochastic differential equations WELL-POSEDNESS log-Harnack inequality
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Backward doubly-stochastic differential equations with mean reflection
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作者 Hongchao Qian Jun Peng 《Probability, Uncertainty and Quantitative Risk》 2023年第4期417-444,共28页
In this paper,we study a class of mean-reflected backward doubly stochastic differential equations(MR-BDSDEs),where the constraint depends on the law of the solution and not on its paths.The existence and uniqueness o... In this paper,we study a class of mean-reflected backward doubly stochastic differential equations(MR-BDSDEs),where the constraint depends on the law of the solution and not on its paths.The existence and uniqueness of these solutions were established.The penalization method plays an important role.We also provided a probabilistic interpretation of the classical solutions of the mean-reflected stochastic partial differential equations(MR-SPDEs)in terms of MR-BDSDEs. 展开更多
关键词 Mean reflection Backward doubly-stochastic differential equation PENALIzATION Stochastic partial differential equations
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用双线偏振雷达的差分反射率Z_(DR)技术测量降雨和雨滴谱的研究 被引量:14
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作者 张鸿发 徐宝祥 +1 位作者 王致君 蔡启铭 《气象学报》 CSCD 北大核心 1996年第2期154-165,共12页
通过计算分析用双线偏振雷达可测到的差分反射率ZDR(dB)和反射率ZH(dBz)与降雨率R(mm·h-1)的关系,得知ZDR与滴谱尺度分布和不同截断直径谱的谱型变化有关。用(ZDR,ZH)双参数技术可以推测雨滴尺... 通过计算分析用双线偏振雷达可测到的差分反射率ZDR(dB)和反射率ZH(dBz)与降雨率R(mm·h-1)的关系,得知ZDR与滴谱尺度分布和不同截断直径谱的谱型变化有关。用(ZDR,ZH)双参数技术可以推测雨滴尺度分布的形状变化在测量降雨上的影响,能有效提高测而精度,并可提供相态雨区水成物粒子信息。 展开更多
关键词 差分反射率 降水 雨滴谱 双线偏振雷达
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用T-矩阵法分析降水粒子在微波段下的Z_(DR)特性 被引量:2
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作者 陈康 王庆安 《气象科学》 CSCD 北大核心 2000年第4期469-477,共9页
本文采用T-矩阵方法从理论计算的角度分析了在X、C和S波段下不同轴比、大小和相态的扁椭球降水粒子的差反射率因子ZDR,对为三种波长的双线偏振雷达实际运用提出了更合理的解释,得到若干有用的结论。文中还对T-矩阵方法的准... 本文采用T-矩阵方法从理论计算的角度分析了在X、C和S波段下不同轴比、大小和相态的扁椭球降水粒子的差反射率因子ZDR,对为三种波长的双线偏振雷达实际运用提出了更合理的解释,得到若干有用的结论。文中还对T-矩阵方法的准确性进行地评价。 展开更多
关键词 T-矩阵法 差反射率因子 降水粒子 气象雷达 散射
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一类Z_(2)等变Hamilton向量场在分段低次多项式扰动下极限环个数的估计
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作者 曾慧 李宝毅 张永康 《天津师范大学学报(自然科学版)》 CAS 北大核心 2022年第3期11-16,共6页
考虑一类Z_(2)等变Hamilton向量场,当平面分为左右2个区域时,基于二阶微分算子法和广义Rolle定理讨论该系统的周期闭轨族在分段非连续(连续)n次多项式扰动下(n=1、2、3)极限环的个数,当一阶Melnikov函数不恒为0时,得到了该系统分支出极... 考虑一类Z_(2)等变Hamilton向量场,当平面分为左右2个区域时,基于二阶微分算子法和广义Rolle定理讨论该系统的周期闭轨族在分段非连续(连续)n次多项式扰动下(n=1、2、3)极限环的个数,当一阶Melnikov函数不恒为0时,得到了该系统分支出极限环个数的上确界B(n)(B_(c)(n))(计重数). 展开更多
关键词 z_(2)等变向量场 HAMILTON系统 极限环 二阶微分算子 广义Rolle定理
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