期刊文献+
共找到779,078篇文章
< 1 2 250 >
每页显示 20 50 100
Bootstrap抽样下基于贝叶斯估计的地震人员死亡评估研究
1
作者 赵煜 魏毛毛 +2 位作者 孙艳萍 史一彤 陈文凯 《地震研究》 北大核心 2025年第1期132-140,共9页
选取1950-2022年中国内地地区历史震例数据信息,以极震区烈度、发震时间及人口密度为主要影响因素,建立三级场景,运用Bootstrap抽样方法对各场景下的历史震例进行扩充,进而采用贝叶斯估计给出不同场景下地震人员死亡变化分布函数,再根... 选取1950-2022年中国内地地区历史震例数据信息,以极震区烈度、发震时间及人口密度为主要影响因素,建立三级场景,运用Bootstrap抽样方法对各场景下的历史震例进行扩充,进而采用贝叶斯估计给出不同场景下地震人员死亡变化分布函数,再根据实际情况对此分布函数进行截断分析,以明确地震人员死亡的不确定性变化范围及死亡率区间概率值,最后随机选取历史地震灾害事件验证模型精度。结果表明:①各场景的死亡率均值及95%死亡率区间基本符合在极震区烈度相等并且人口密度条件下夜间死亡率大于白天死亡率的规律;②模型估计死亡人数区间能够较好覆盖实际上报的死亡人数。 展开更多
关键词 地震 人员死亡 bootstrap抽样 贝叶斯估计 死亡率
在线阅读 下载PDF
基于加权bootstrap方法的交通流多变点实证分析
2
作者 李扬 吴密霞 《数理统计与管理》 北大核心 2025年第3期427-435,共9页
本文研究了具有多个均值变点的噪声序列的变点估计及序列各点均值的置信区间问题。考虑到动态规划(Dynamic Programming,DP)算法可实现最优样本分割的优点,本文结合加权bootstrap和DP算法,提出了一种新的变点估计方法以及序列中各点均... 本文研究了具有多个均值变点的噪声序列的变点估计及序列各点均值的置信区间问题。考虑到动态规划(Dynamic Programming,DP)算法可实现最优样本分割的优点,本文结合加权bootstrap和DP算法,提出了一种新的变点估计方法以及序列中各点均值的置信区间方法。并将该方法应用于深圳的实际交通流数据,探索工作日和休息日南北不同方向交通流数据的特点。 展开更多
关键词 多均值变点 动态规划算法 bootstrap 置信区间 交通流变点
原文传递
基于Bootstrap改进的机床主轴可靠性建模
3
作者 张孟 李传军 +3 位作者 苗百然 董颖怀 杨保鹏 李演刚 《计算机集成制造系统》 北大核心 2025年第9期3401-3410,共10页
随着数控机床主轴故障率的下降,针对正常工况的机床来说,想要获得大量的样本故障数据愈加困难,因此针对小样本数据的主轴平均故障间隔时间(MTBF)估计尤为关键。目前已有很多Bootstrap(自助法)的改进方法研究,但是多数抽样方式集中于数... 随着数控机床主轴故障率的下降,针对正常工况的机床来说,想要获得大量的样本故障数据愈加困难,因此针对小样本数据的主轴平均故障间隔时间(MTBF)估计尤为关键。目前已有很多Bootstrap(自助法)的改进方法研究,但是多数抽样方式集中于数据区间内,没有考虑向分组区间外扩充。文中采用改进Bootstrap法在三个方向上扩充原始样本,利用扩充后的样本来估计威布尔分布的尺度参数和形状参数,进而计算机床主轴的MTBF,将其值与改进前的自助法进行比较,改进后的方法既能提升数据扩容效率,又能提高MTBF估计精度,结合相关系数法不仅拓展了初值范围,而且简化了位移参数估计过程,因此建立三参数威布尔分布模型,得到更加精确的数控机床主轴可靠性参考指标,对工程实践有较高的参考价值。 展开更多
关键词 平均故障间隔时间 数控机床主轴 小样本 bootstrap 三参数威布尔
在线阅读 下载PDF
带趋势项序列的持久性变点的Sieve Bootstrap检验
4
作者 樊璐 赵文芝 王慧敏 《高师理科学刊》 2025年第3期18-23,共6页
用Sieve Bootstrap方法检验带趋势项序列的持久性变点从短记忆到长记忆的持久性变化.对序列进行去趋势变换,基于去趋势后的序列构造Ratio型检验统计量,通过重新采样残差构建SieveBootstrap统计量,证明Mallow测度下的一致性.通过模拟研... 用Sieve Bootstrap方法检验带趋势项序列的持久性变点从短记忆到长记忆的持久性变化.对序列进行去趋势变换,基于去趋势后的序列构造Ratio型检验统计量,通过重新采样残差构建SieveBootstrap统计量,证明Mallow测度下的一致性.通过模拟研究和实例分析验证了方法的有效性. 展开更多
关键词 序列 短记忆 长记忆 持久性变点 比率 Sieve bootstrap检验
在线阅读 下载PDF
基于bootstrap方法的实验误差分析 被引量:2
5
作者 张潮 张雁华 《质量与认证》 2025年第2期110-112,共3页
在实验测量中,通过统计学bootstrap方法对直接观察量样本重复抽样,可估计间接观察量分布并计算其误差。随着样本数量的增加,bootstrap方法和误差传递理论分析结果均会出现随机误差显著减小的特征,当样本数量固定时,改变bootstrap重复抽... 在实验测量中,通过统计学bootstrap方法对直接观察量样本重复抽样,可估计间接观察量分布并计算其误差。随着样本数量的增加,bootstrap方法和误差传递理论分析结果均会出现随机误差显著减小的特征,当样本数量固定时,改变bootstrap重复抽样次数,间接观察量误差变化并不明显,即抽样次数存在饱和值。因此,适当选取样本数量和重复抽样次数,通过bootstrap方法可有效减小实验测量次数,达到节省实验时间、空间以及计算资源等目的。 展开更多
关键词 bootstrap方法 误差传递公式 随机误差
在线阅读 下载PDF
病例队列设计下可加可乘风险模型的Bootstrap估计
6
作者 陈佳琪 《数理统计与管理》 北大核心 2025年第1期106-118,共13页
本文聚焦于病例队列设计的研究,旨在解决协变量测量成本高昂和疾病发病率较低等现实问题。该方法可以显著降低大规模预测性研究的成本。针对病例队列数据下的可加可乘风险模型,本文提出了三种估计方法,并采用了一种单阶段重抽样的非参数... 本文聚焦于病例队列设计的研究,旨在解决协变量测量成本高昂和疾病发病率较低等现实问题。该方法可以显著降低大规模预测性研究的成本。针对病例队列数据下的可加可乘风险模型,本文提出了三种估计方法,并采用了一种单阶段重抽样的非参数bootstrap方法进行协方差估计。通过数值模拟研究,我们将bootstrap方法获得的协方差估计与基于渐近理论的协方差估计进行了比较。结果显示,bootstrap方法表现出色。此外,我们将所提方法应用到一个实际案例中,取得了良好的分析效果。 展开更多
关键词 可加可乘风险模型 bootstrap方法 病例队列设计 简单随机抽样 单阶段重抽样 加权估计函数
原文传递
基于Bootstrap框架的高校图书馆座位预约网页设计
7
作者 杨明 《信息记录材料》 2025年第6期95-97,共3页
高校图书馆座位资源紧张,传统选座方式效率低。本文设计了基于Bootstrap框架的高校图书馆座位预约网页,以解决传统选座方式效率低、资源分配不均的问题。本文采用Bootstrap框架构建前端界面,实现响应式导航栏、用户表单验证、座位状态... 高校图书馆座位资源紧张,传统选座方式效率低。本文设计了基于Bootstrap框架的高校图书馆座位预约网页,以解决传统选座方式效率低、资源分配不均的问题。本文采用Bootstrap框架构建前端界面,实现响应式导航栏、用户表单验证、座位状态可视化展示、预约操作即时反馈和提醒设置弹窗设计。后端采用Django框架,实现数据交互与业务逻辑处理,并采用MySQL数据库存储信息。实验结果表明:该系统能够有效提高座位预约的效率,优化资源分配,提升用户体验。基于Bootstrap框架的高校图书馆座位预约网页设计是可行的,具有良好的应用前景。 展开更多
关键词 高校图书馆 座位预约 bootstrap框架 技术实现 安全设计
在线阅读 下载PDF
Insight Into the Separation-of-Variable Methods for the Closed-Form Solutions of Free Vibration of Rectangular Thin Plates
8
作者 Yufeng Xing Ye Yuan Gen Li 《Computer Modeling in Engineering & Sciences》 SCIE EI 2025年第1期329-355,共27页
The separation-of-variable(SOV)methods,such as the improved SOV method,the variational SOV method,and the extended SOV method,have been proposed by the present authors and coworkers to obtain the closed-form analytica... The separation-of-variable(SOV)methods,such as the improved SOV method,the variational SOV method,and the extended SOV method,have been proposed by the present authors and coworkers to obtain the closed-form analytical solutions for free vibration and eigenbuckling of rectangular plates and circular cylindrical shells.By taking the free vibration of rectangular thin plates as an example,this work presents the theoretical framework of the SOV methods in an instructive way,and the bisection–based solution procedures for a group of nonlinear eigenvalue equations.Besides,the explicit equations of nodal lines of the SOV methods are presented,and the relations of nodal line patterns and frequency orders are investigated.It is concluded that the highly accurate SOV methods have the same accuracy for all frequencies,the mode shapes about repeated frequencies can also be precisely captured,and the SOV methods do not have the problem of missing roots as well. 展开更多
关键词 Separation-of-variable method Rayleigh quotient nodal line eigenvalue equation bisection method
在线阅读 下载PDF
Improved methods,properties,applications and prospects of microbial induced carbonate precipitation(MICP)treated soil:A review 被引量:2
9
作者 Xuanshuo Zhang Hongyu Wang +3 位作者 Ya Wang Jinghui Wang Jing Cao Gang Zhang 《Biogeotechnics》 2025年第1期34-54,共21页
Soil improvement is one of the most important issues in geotechnical engineering practice.The wide application of traditional improvement techniques(cement/chemical materials)are limited due to damage ecological en-vi... Soil improvement is one of the most important issues in geotechnical engineering practice.The wide application of traditional improvement techniques(cement/chemical materials)are limited due to damage ecological en-vironment and intensify carbon emissions.However,the use of microbially induced calcium carbonate pre-cipitation(MICP)to obtain bio-cement is a novel technique with the potential to induce soil stability,providing a low-carbon,environment-friendly,and sustainable integrated solution for some geotechnical engineering pro-blems in the environment.This paper presents a comprehensive review of the latest progress in soil improvement based on the MICP strategy.It systematically summarizes and overviews the mineralization mechanism,influ-encing factors,improved methods,engineering characteristics,and current field application status of the MICP.Additionally,it also explores the limitations and correspondingly proposes prospective applications via the MICP approach for soil improvement.This review indicates that the utilization of different environmental calcium-based wastes in MICP and combination of materials and MICP are conducive to meeting engineering and market demand.Furthermore,we recommend and encourage global collaborative study and practice with a view to commercializing MICP technique in the future.The current review purports to provide insights for engineers and interdisciplinary researchers,and guidance for future engineering applications. 展开更多
关键词 Soil improvement Bio-cement MICP Improved methods Field application cases
在线阅读 下载PDF
基于Bootstrap方法对测风数据插补不确定性的分析研究
10
作者 刘松 李伟岩 《太阳能》 2025年第7期62-70,共9页
为了准确评估风电场场区的风能资源,必须对测风塔的测风数据进行缺测与不合理数据的插补延长。测量-关联-预测(MCP)插补方法是利用测风塔短期测风数据和长期参证数据对测风塔缺测与不合理数据进行插补延长,但由此会产生数据处理不确定性... 为了准确评估风电场场区的风能资源,必须对测风塔的测风数据进行缺测与不合理数据的插补延长。测量-关联-预测(MCP)插补方法是利用测风塔短期测风数据和长期参证数据对测风塔缺测与不合理数据进行插补延长,但由此会产生数据处理不确定性,会对后续风电场发电量计算的准确性产生影响,因此需对插补不确定性进行分析。收集了位于中国不同地区、不同地形的2座测风塔的原始测风数据,采用MCP插补方法中常用的线性最小二乘(LLS)法对测风数据进行了插补,基于Bootstrap方法对LLS法带来的测风数据插补不确定性进行了定量分析,并对不同测风时长给测风数据插补不确定性带来的影响进行了分析。研究结果表明:1)残差自助法可以有效估计LLS法插补参数的不确定性,且插补参数的不确定性随着测风时长的增加而不断降低。2)LLS法插补结果受测风时长的影响较大。随着测风时长增加,LLS法带来的测风数据插补不确定性逐渐降低。测风塔测风数据与参考数据之间的相关系数越高,LLS法带来的测风数据插补不确定性越低。3)LLS法插补参数的不确定性对总预测不确定性的贡献较小,导致大量风速实测值基本落在95%置信区间之外。因此,后续需要进一步分析风速测量不确定性及不同MCP插补方法对测风数据插补不确定性的影响。 展开更多
关键词 测风数据 风电场 测量-关联-预测插补方法 bootstrap方法 线性最小二乘法 不确定性
在线阅读 下载PDF
非谐振子与双势阱中的混合非谐项的bootstrap分析
11
作者 段星星 张会鹏 樊炜 《江苏科技大学学报(自然科学版)》 2025年第4期86-89,共4页
非谐振子和双势阱中来自于非简谐项的非谐效应一直是重要的数学物理问题,在弱非谐效应时可以用微扰来求解,在强非谐效应时只能用数值方法.最近在纯非谐项的研究中发现,其基态能隙中源于纯非谐项的部分由同一个公式来描述,且覆盖整个耦... 非谐振子和双势阱中来自于非简谐项的非谐效应一直是重要的数学物理问题,在弱非谐效应时可以用微扰来求解,在强非谐效应时只能用数值方法.最近在纯非谐项的研究中发现,其基态能隙中源于纯非谐项的部分由同一个公式来描述,且覆盖整个耦合参数区间,这暗示了两个模型中的非谐效应存在统一的描述,尽管基本物理过程完全不同.上述发现是针对的纯非谐项的情况,文中继续研究混合非谐项的情况,结果显示由混合非谐项产生的基态能隙仍然由相同的公式来描述,进一步确认了这种未知联系的存在性.文中使用了数值bootstrap方法来求解相应的模型,这是一种最近获得重大进展的非微扰方法,特别是在伊辛模型以及矩阵量子力学领域. 展开更多
关键词 瞬子 非谐振子 numerical bootstrap 半正定优化
在线阅读 下载PDF
A Review of the Hydrodynamic Damping Characteristics of Blade-like Structures:Focus on the Quantitative Identification Methods and Key Influencing Parameters 被引量:1
12
作者 Yongshun Zeng Zhaohui Qian +1 位作者 Jiayun Zhang Zhifeng Yao 《哈尔滨工程大学学报(英文版)》 2025年第1期21-34,共14页
Ocean energy has progressively gained considerable interest due to its sufficient potential to meet the world’s energy demand,and the blade is the core component in electricity generation from the ocean current.Howev... Ocean energy has progressively gained considerable interest due to its sufficient potential to meet the world’s energy demand,and the blade is the core component in electricity generation from the ocean current.However,the widened hydraulic excitation frequency may satisfy the blade resonance due to the time variation in the velocity and angle of attack of the ocean current,even resulting in blade fatigue and destructively interfering with grid stability.A key parameter that determines the resonance amplitude of the blade is the hydrodynamic damping ratio(HDR).However,HDR is difficult to obtain due to the complex fluid-structure interaction(FSI).Therefore,a literature review was conducted on the hydrodynamic damping characteristics of blade-like structures.The experimental and simulation methods used to identify and obtain the HDR quantitatively were described,placing emphasis on the experimental processes and simulation setups.Moreover,the accuracy and efficiency of different simulation methods were compared,and the modal work approach was recommended.The effects of key typical parameters,including flow velocity,angle of attack,gap,rotational speed,and cavitation,on the HDR were then summarized,and the suggestions on operating conditions were presented from the perspective of increasing the HDR.Subsequently,considering multiple flow parameters,several theoretical derivations and semi-empirical prediction formulas for HDR were introduced,and the accuracy and application were discussed.Based on the shortcomings of the existing research,the direction of future research was finally determined.The current work offers a clear understanding of the HDR of blade-like structures,which could improve the evaluation accuracy of flow-induced vibration in the design stage. 展开更多
关键词 Blade fatigue Hydrodynamic damping ratio Identification method Affecting factors Prediction formula
在线阅读 下载PDF
Interaction of dynamic magnetic island with bootstrap current in toroidal plasma
13
作者 Wenjin CHEN Min ZHANG Zhiwei MA 《Plasma Science and Technology》 2025年第5期103-114,共12页
Interaction of dynamic magnetic island with bootstrap current in toroidal plasmas is investigated based on the first principles of kinetic simulation.The perturbed magnetic and electric fields associated with the dyna... Interaction of dynamic magnetic island with bootstrap current in toroidal plasmas is investigated based on the first principles of kinetic simulation.The perturbed magnetic and electric fields associated with the dynamic magnetic island are calculated from a three-dimensional toroidal MHD code(CLT),instead of artificial imposed magnetic island perturbation.Inside the static magnetic island,the bootstrap current decreases as expected with the effective collision frequency.The radial electric field Erassociated with dynamic island could cause the E×B drift,which can noticeably modify the bootstrap current distribution.If the bootstrap current turns on when the tearing mode saturates,the widths of magnetic islands ascend rapidly and saturate again for both static and dynamic cases.But the saturated island width of the dynamic case is smaller than that of the static case because the magnetic islands in the dynamic case rotate due to strong asymmetric distribution of the bootstrap current in the vicinity of the X-points. 展开更多
关键词 bootstrap current kinetic simulation magnetic island TOKAMAK
在线阅读 下载PDF
A comprehensive evaluation of RNA secondary structures prediction methods
14
作者 Xinlong Chen En Lou +2 位作者 Zouchenyu Zhou Ya-Lan Tan Zhi-Jie Tan 《Chinese Physics B》 2025年第8期115-127,共13页
RNAs have important biological functions and the functions of RNAs are generally coupled to their structures, especiallytheir secondary structures. In this work, we have made a comprehensive evaluation of the performa... RNAs have important biological functions and the functions of RNAs are generally coupled to their structures, especiallytheir secondary structures. In this work, we have made a comprehensive evaluation of the performances of existingtop RNA secondary structure prediction methods, including five deep-learning (DL) based methods and five minimum freeenergy (MFE) based methods. First, we made a brief overview of these RNA secondary structure prediction methods.Afterwards, we built two rigorous test datasets consisting of RNAs with non-redundant sequences and comprehensivelyexamined the performances of the RNA secondary structure prediction methods through classifying the RNAs into differentlength ranges and different types. Our examination shows that the DL-based methods generally perform better thanthe MFE-based methods for RNAs with long lengths and complex structures, while the MFE-based methods can achievegood performance for small RNAs and some specialized MFE-based methods can achieve good prediction accuracy forpseudoknots. Finally, we provided some insights and perspectives in modeling RNA secondary structures. 展开更多
关键词 RNA secondary structure prediction computational methods comprehensive evaluation traditional methods deep-learning-based methods
原文传递
Prediction of Wind Potential by Mathematical Methods: Application to the City of Mongo in CHAD
15
作者 Ali Ramadan Ali Moussa Ali Abdoulaye +1 位作者 Ahmat Idriss Hassan Gogo Abakar Mahamat Tahir 《Open Journal of Applied Sciences》 2025年第2期389-399,共11页
Understanding the wind power potential of a site is essential for designing an optimal wind power conditioning system. The Weibull distribution and wind speed extrapolation methods are powerful mathematical tools for ... Understanding the wind power potential of a site is essential for designing an optimal wind power conditioning system. The Weibull distribution and wind speed extrapolation methods are powerful mathematical tools for efficiently predicting the frequency distribution of wind speeds at a site. Hourly wind speed and direction data were collected from the National Aeronautics and Space Administration (NASA) website for the period 2013 to 2023. MATLAB software was used to calculate the distribution parameters using the graphical method and to plot the corresponding curves, while WRPLOTView software was used to construct the wind rose. The average wind speed obtained is 3.33 m/s and can reach up to 5.71 m/s at a height of 100 meters. The wind energy is estimated to be 1315.30 kWh/m2 at a height of 100 meters. The wind rose indicates the prevailing winds (ranging from 3.60 m/s to 5.70 m/s) in the northeast-east direction. 展开更多
关键词 Wind Potential Weibull Distribution Extrapolation Method Power Conditioning
在线阅读 下载PDF
Research on the strength detection methods of railway tunnel linings
16
作者 Weiyi Yang 《Railway Sciences》 2025年第5期638-646,共9页
Purpose–For the commonly used concrete mix for railway tunnel linings,concrete model specimens were made,and springback and core drilling tests were conducted at different ages.The springback strength was measured to... Purpose–For the commonly used concrete mix for railway tunnel linings,concrete model specimens were made,and springback and core drilling tests were conducted at different ages.The springback strength was measured to the compressive strength of the core sample with a diameter of 100mm and a height-to-diameter ratio of 1:1.By comparing the measured strength values,the relationship between the measured values under different strength measurement methods was analyzed.Design/methodology/approach–A comparative test of the core drilling method and the rebound method was conducted on the side walls of tunnel linings in some under-construction railways to study the feasibility of the rebound method in engineering quality supervision and inspection.Findings–Tests showed that the rebound strength was positively correlated with the core drill strength.The core drill test strength was significantly higher than the rebound test strength,and the strength still increased after 56 days of age.The rebound method is suitable for the general survey of concrete strength during the construction process and is not suitable for direct supervision and inspection.Originality/value–By studying the correlation of test strength of tunnel lining concrete using two methods,the differences in test results of different methods are proposed to provide a reference for the test and evaluation of tunnel lining strength in railway engineering. 展开更多
关键词 Tunnel lining CONCRETE STRENGTH Rebound method Core drilling method
在线阅读 下载PDF
Novel adaptive IMEX two-step Runge-Kutta temporal discretization methods for unsteady flows
17
作者 Xueyu QIN Jian YU +2 位作者 Xin ZHANG Zhenhua JIANG Chao YAN 《Chinese Journal of Aeronautics》 2025年第8期142-153,共12页
Efficient and accurate simulation of unsteady flow presents a significant challenge that needs to be overcome in computational fluid dynamics.Temporal discretization method plays a crucial role in the simulation of un... Efficient and accurate simulation of unsteady flow presents a significant challenge that needs to be overcome in computational fluid dynamics.Temporal discretization method plays a crucial role in the simulation of unsteady flows.To enhance computational efficiency,we propose the Implicit-Explicit Two-Step Runge-Kutta(IMEX-TSRK)time-stepping discretization methods for unsteady flows,and develop a novel adaptive algorithm that correctly partitions spatial regions to apply implicit or explicit methods.The novel adaptive IMEX-TSRK schemes effectively handle the numerical stiffness of the small grid size and improve computational efficiency.Compared to implicit and explicit Runge-Kutta(RK)schemes,the IMEX-TSRK methods achieve the same order of accuracy with fewer first derivative calculations.Numerical case tests demonstrate that the IMEX-TSRK methods maintain numerical stability while enhancing computational efficiency.Specifically,in high Reynolds number flows,the computational efficiency of the IMEX-TSRK methods surpasses that of explicit RK schemes by more than one order of magnitude,and that of implicit RK schemes several times over. 展开更多
关键词 Implicit-explicit temporal methods Two-step Runge-Kutta methods Adaptive algorithm Unsteady flows Navier-Stokes equations
原文传递
A New Technique for Constructing Higher-order Iterative Methods to Solve Nonlinear Systems
18
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
在线阅读 下载PDF
An eigen-based theory for developing numerical methods for structural dynamics
19
作者 Huang Chiu-Li Chang Shuenn-Yih Chang Karen 《Earthquake Engineering and Engineering Vibration》 2025年第2期333-356,共24页
The feasibility of using a problem-dependent method to solve systems of second order ODEs is corroborated by an eigen-based theory and a methodology to develop such a numerical method is constructed.The key steps of t... The feasibility of using a problem-dependent method to solve systems of second order ODEs is corroborated by an eigen-based theory and a methodology to develop such a numerical method is constructed.The key steps of this methodology are to decouple a system of ODEs of second order into a set of uncoupled ODEs of second order;next,an eigen-dependent method is proposed to approximate the solution of each uncoupled ODE of second order.It is vital to transform all eigen-dependent methods to a problem-dependent method to bypass an Eigen analysis.The development of an eigen-dependent method plays a key role in this methodology so that slow eigenmodes can be accurately integrated while there is no instability or excessive amplitude growth in fast eigenmodes.This can explain why a problem-dependent method can simultaneously combine the explicitness of each step and A-stability.Consequently,huge computational efforts can be saved for solving nonlinear stiff problems.A new family of problem-dependent methods is developed in this work so that the feasibility of the proposed methodology can be affirmed.It has almost the same performance as that of the HHT-αmethod.However,it can save more than 99.5%of CPU demand in approximating a solution for a system of 1000 nonlinear second order ODEs. 展开更多
关键词 an eigen-based theory unconditional stability accuracy eigen-dependent method structure-dependent method nonlinear dynamics
在线阅读 下载PDF
A Comprehensive Study on Application and Prospect of Hydrogel Detection Methods
20
作者 Caixia Chen Pengyu Liu +3 位作者 Changhua Wang Yanyan Xie Wei Wang Xiaomin Kang 《Journal of Polymer Materials》 2025年第3期621-660,共40页
Due to their high water content,stimulus responsiveness,and biocompatibility,hydrogels,which are functional materials with a three-dimensional network structure,are widely applied in fields such as biomedicine,environ... Due to their high water content,stimulus responsiveness,and biocompatibility,hydrogels,which are functional materials with a three-dimensional network structure,are widely applied in fields such as biomedicine,environmental monitoring,and flexible electronics.This paper provides a systematic review of hydrogel charac-terization methods and their applications,focusing on primary evaluation techniques for physical properties(e.g.,mechanical strength,swelling behavior,and pore structure),chemical properties(e.g.,composition,crosslink density,and degradation behavior),biocompatibility,and functional properties(e.g.,drug release,environmental stimulus response,and conductivity).It analyzes the challenges currently faced by characterization methods,such as a lack of standardization,difficulties in dynamic monitoring,an insufficient micro-macro correlation,and poor adaptability to complex environments.It proposes solutions,such as a hierarchical standardization system,in situ imaging technology,cross-scale characterization,and biomimetic testing platforms.Looking ahead,hydrogel characterization techniques will evolve toward intelligent,real-time,multimodal coupling and standardized approaches.These techniques will provide superior technical support for precision medicine,environmental restoration,and flexible electronics.They will also offer systematic methodological guidance for the performance optimization and practical application of hydrogel materials. 展开更多
关键词 HYDROGEL characterization methods PROPERTIES STANDARDIZATION APPLICATION
在线阅读 下载PDF
上一页 1 2 250 下一页 到第
使用帮助 返回顶部