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基于R-L分数阶定义的CCM Flyback变换器建模与分析
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作者 王硕禾 符屹男 +2 位作者 常宇健 杨鹏 李倩 《太阳能学报》 EI CAS CSCD 北大核心 2024年第6期217-225,共9页
针对电容电感都为分数阶这一事实,利用分数阶微积分R-L定义和状态空间平均法,对工作在电感电流连续模式(CCM)下的分数阶Flyback变换器进行建模与分析。推导CCM分数阶Flyback变换器的静态工作点和小信号传递函数以及变换器工作在CCM模式... 针对电容电感都为分数阶这一事实,利用分数阶微积分R-L定义和状态空间平均法,对工作在电感电流连续模式(CCM)下的分数阶Flyback变换器进行建模与分析。推导CCM分数阶Flyback变换器的静态工作点和小信号传递函数以及变换器工作在CCM模式下的条件。其次,讨论Caputo模型与R-L导数模型的区别,得出在R-L分数阶定义下直流静态工作点不仅与占空比相关,而且还与电感和电容的阶数以及负载有关。最后,在PSIM中搭建R-L分数阶CCM Flyback变换器电路模型,得到不同分数阶电感电容阶数下分数阶Flyback变换器输出电压和电感电流的仿真波形,通过仿真结果与理论计算结果对比,验证所建模型的正确性,得出分数阶电感电容的阶数会影响闭环控制器的设计和分数阶模型能更加精确地描述Flyback变换器的工作特性。 展开更多
关键词 DC-DC变换器 电力电子 仿真平台 r-L定义 分数阶建模
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具有中间幂等元的r-宽大半群 被引量:3
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作者 白雪娜 宫春梅 《云南大学学报(自然科学版)》 CAS CSCD 北大核心 2024年第1期1-7,共7页
讨论了r-宽大半群上的中间幂等元及其相关幂等元的性质.借此,证明了具有弱型A可乘中间幂等元u的r-宽大半群是自然序r-宽大半群,其中u是最大幂等元.
关键词 r-宽大半群 中间幂等元 自然序 弱型A半群
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Target detection for low angle radar based on multi-frequency order-statistics 被引量:4
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作者 Yunhe Cao Shenghua Wang +1 位作者 Yu Wang Shenghua Zhou 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2015年第2期267-273,共7页
For radar targets flying at low altitude, multiple pathways produce fade or enhancement relative to the level that would be expected in a free-space environment. In this paper, a new detec- tion method based on a wide... For radar targets flying at low altitude, multiple pathways produce fade or enhancement relative to the level that would be expected in a free-space environment. In this paper, a new detec- tion method based on a wide-ranging multi-frequency radar for low angle targets is proposed. Sequential transmitting multiple pulses with different frequencies are first applied to decorrelate the cohe- rence of the direct and reflected echoes. After receiving all echoes, the multi-frequency samples are arranged in a sort descending ac- cording to the amplitude. Some high amplitude echoes in the same range cell are accumulated to improve the signal-to-noise ratio and the optimal number of high amplitude echoes is analyzed and given by experiments. Finally, simulation results are presented to verify the effectiveness of the method. 展开更多
关键词 MULTIPATH signal detection order statistic MULTI-FrEQUENCY low angle
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NEW METHOD FOR LOW ORDER SPECTRAL MODEL AND ITS APPLICATION 被引量:1
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作者 曹杰 尤亚磊 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第4期477-484,共8页
In order to overcome the deficiency in classical method of low order spectral model, a new method for low order spectral model was advanced. Through calculating the multiple correlation coefficients between combinatio... In order to overcome the deficiency in classical method of low order spectral model, a new method for low order spectral model was advanced. Through calculating the multiple correlation coefficients between combinations of different functions and the recorded data under the least square criterion, the truncated functions which can mostly reflect the studied physical phenomenon were objectively distilled from these data. The new method overcomes the deficiency of artificially selecting the truncated functions in the classical low order spectral model. The new method being applied to study the inter-annual variation of summer atmospheric circulation over Northern Hemisphere, the truncated functions were obtained with the atmospheric circulation data of June 1994 and June 1998. The mechanisms for the two-summer atmospheric circulation variations over Northern Hemisphere were obtained with two-layer quasi-geostrophic baroclinic equation. 展开更多
关键词 low order spectral model least square criterion truncated function atmospheric circulation in summer physical mechanism
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Low-order harmonic generation of hydrogen molecular ion in laser field studied by the two-state model 被引量:1
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作者 Ling-Ling Du Guo-Li Wang +1 位作者 Peng-Cheng Li Xiao-Xin Zhou 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第11期459-465,共7页
The low-order harmonic generation of hydrogen molecular ion interacting with a linearly polarized laser field has been investigated theoretically by using a simple two-state model. The validity of the two-state model ... The low-order harmonic generation of hydrogen molecular ion interacting with a linearly polarized laser field has been investigated theoretically by using a simple two-state model. The validity of the two-state model is carefully examined by comparing the harmonic spectra of hydrogen molecular ion obtained from this model with those from the three-dimensional time-dependent Schr¨odinger equation. When combined with the Morlet transform of quantum time-frequency spectrum,the two-state model can be used to study the dynamical origin of the low-order harmonic generation of hydrogen molecular ion driven by low-frequency pulses. In addition, some interesting structures of the time profiles for low order harmonics are obtained. 展开更多
关键词 low order harmonic generation hydrogen molecule ion two state model
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永磁同步电机宽转速的高阶滑模MRAS控制
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作者 韩琨 张长征 +1 位作者 袁雷 朱雪松 《实验技术与管理》 CAS 北大核心 2024年第6期70-80,共11页
为抑制基于滑模控制的永磁同步电机系统的抖振现象,提出一种通过高阶滑模控制设计的MRAS无传感器控制策略。通过设置滑模积分环节达到了抑制抖振的目的,表明了高阶滑模控制过程中积分环节的重要性,阐述了非线性滑模控制参数设置思路,相... 为抑制基于滑模控制的永磁同步电机系统的抖振现象,提出一种通过高阶滑模控制设计的MRAS无传感器控制策略。通过设置滑模积分环节达到了抑制抖振的目的,表明了高阶滑模控制过程中积分环节的重要性,阐述了非线性滑模控制参数设置思路,相较于MRAS与SMCMRAS提高了SPMSM在中低速的表现性能。最后,基于MATLAB/Simulink代码自动生成的电机算法测试平台,验证了所设计观测器的有效性。实验结果表明,SPMSM在低速的表现效果良好,零速启动表现良好,高阶滑模控制策略较一阶SMC有效降低了抖振,提高了PI控制的鲁棒性,实现了PMSM的宽速域控制。 展开更多
关键词 MrAS 自动代码生成 抖振 高阶滑模控制 低速控制
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Unified analysis for stabilized methods of low-order mixed finite elements for stationary Navier-Stokes equations 被引量:2
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作者 陈刚 冯民富 何银年 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第8期953-970,共18页
A unified analysis is presented for the stabilized methods including the pres- sure projection method and the pressure gradient local projection method of conforming and nonconforming low-order mixed finite elements f... A unified analysis is presented for the stabilized methods including the pres- sure projection method and the pressure gradient local projection method of conforming and nonconforming low-order mixed finite elements for the stationary Navier-Stokes equa- tions. The existence and uniqueness of the solution and the optimal error estimates are proved. 展开更多
关键词 Navier-Stokes equation Ladyzhenskaya-Babu^ka-Brezzi (LBB) condition low-order finite element pressure projection method pressure gradient local projectionmethod
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Experimental researches for scaling laws of low-order structure function in boundary layer
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作者 张珂 李万平 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2010年第6期806-811,共6页
Scaling laws are addressed by analysing moments of velocity increments which obtained by Particle-image Velocimetry(PIV)system in the boundary layer of a flat plate.In the paper,we measure the moments of increments of... Scaling laws are addressed by analysing moments of velocity increments which obtained by Particle-image Velocimetry(PIV)system in the boundary layer of a flat plate.In the paper,we measure the moments of increments of upstream velocity(u'),longitudinal velocity(v')and ponderance of vorticity(dv'/dx)at Reθ=2167 in different wall distance and verify the anomaly of the scaling exponents of high-order structure functions with the increasing order of the moments,discuss the scaling of non-integer moments of order between+2 and-1.The difference of scaling exponents of low-order structure functions between the experimental data and Kolmogorov's,SL's(She & Leveque)prediction increases as the moment order decreases toward-1,which shows that the anomaly is manifested in low-oeder moments as well.However,for same order structure functions,the scaling exponents of v' and dv'/dx are not changeable in different wall distance. 展开更多
关键词 scaling law low-order structure function turbulent boundary layer scaling exponent
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基于Low rank近似的黏弹性介质衰减补偿微地震逆时定位与裂缝成像 被引量:5
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作者 唐杰 刘英昌 +1 位作者 李聪 孙成禹 《地球物理学报》 SCIE EI CAS CSCD 北大核心 2021年第8期2858-2876,共19页
真实地下介质具有黏弹性,地震波在传播过程中会发生耗散与频散.忽视黏弹性介质的吸收衰减效应,逆时延拓过程中地震波将会出现振幅减弱、相位失真等现象,无法准确定位震源真实位置,因此需要对黏弹性介质中传播的波场进行衰减补偿,并通过... 真实地下介质具有黏弹性,地震波在传播过程中会发生耗散与频散.忽视黏弹性介质的吸收衰减效应,逆时延拓过程中地震波将会出现振幅减弱、相位失真等现象,无法准确定位震源真实位置,因此需要对黏弹性介质中传播的波场进行衰减补偿,并通过采用合适的成像算子对微地震震源进行定位与裂缝成像.本文基于耗散与频散解耦的分数阶黏弹性波动方程模拟波场,采用low rank分解近似混合域算子,分离衰减相关项并反转耗散项符号,并在补偿的衰减项波场的波数域中进行低通滤波,压制噪声的影响;使用优化后的成像算子进行微地震震源定位,并通过分离散射波场,对散射波进行逆时反传寻找裂缝.数值实验证明,本文方法通过low rank近似有效提高了计算效率,衰减补偿算子在滤波器约束下能够稳定地补偿反向延拓的波场,优化后的成像算子能够在压制随机噪声的同时进一步提高计算效率和定位分辨率. 展开更多
关键词 黏弹性 分数阶 low rank 衰减补偿 微地震 逆时定位
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6LoWPAN中基于Mesh-under的备用缓存机制 被引量:1
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作者 刘乔寿 景晓丽 吉福生 《系统工程与电子技术》 EI CSCD 北大核心 2017年第7期1625-1632,共8页
在基于Mesh-under的IPv6低功耗无线个域网(IPv6over low-power wireless personal area networks,6LoWPAN)中,针对传输路径上中间节点重传缓存溢出导致重传数据分片丢失,造成网络性能下降等问题,提出一种基于Mesh-under的备用缓存机制... 在基于Mesh-under的IPv6低功耗无线个域网(IPv6over low-power wireless personal area networks,6LoWPAN)中,针对传输路径上中间节点重传缓存溢出导致重传数据分片丢失,造成网络性能下降等问题,提出一种基于Mesh-under的备用缓存机制。本文所提机制根据传输路径上各节点重传缓存使用情况及数据分片剩余跳数等信息,设置动态重传缓存门限,并为超过该门限的节点从其邻居节点中挑选合适的备用缓存节点,从而完成数据分片的缓存与重传过程,达到均衡使用各节点重传缓存的目的。结果表明,所提机制能够有效避免重传缓存溢出,减小网络能耗,同时进一步提高目的端重组成功率。 展开更多
关键词 IPv6低功耗无线个域网 Mesh-under 缓存门限 备用缓存
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ON THE GROWTH OF ZERO ORDER LAPLACE-STIELTJES TRANSFORM CONVERGENT IN THE RIGHT HALF-PLANE 被引量:15
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作者 孔荫莹 孙道椿 《Acta Mathematica Scientia》 SCIE CSCD 2008年第2期431-440,共10页
In this article, authors study the growth of Laplace-Stieltjes transform with zero order convergent in the right half-plane, define the exponential order and the exponential low order, and find the relations between t... In this article, authors study the growth of Laplace-Stieltjes transform with zero order convergent in the right half-plane, define the exponential order and the exponential low order, and find the relations between them. Some results similar to Dirichlet series are obtained. 展开更多
关键词 Laplace-Stieltjes transforms of zero order Newton polygon exponential order exponential low order
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基于通用可调(p,q)阶Rife-Vincent自乘-卷积窗的改进四谱线插值高精度谐波分析算法
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作者 雷可君 李明皓 +4 位作者 汪旭明 张银行 胡力 王向明 杨喜 《中南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2023年第10期3926-3936,共11页
加窗快速傅里叶变换(WIFFT)是一类重要的谐波参数估计方法。然而,快速傅里叶变换固有的栅栏效应以及非同步采样产生的频谱泄漏对谐波参数的估计精度有较大影响。为此,利用具有最大旁瓣衰减特性的I类Rife-Vincent窗作为父窗,提出一种新... 加窗快速傅里叶变换(WIFFT)是一类重要的谐波参数估计方法。然而,快速傅里叶变换固有的栅栏效应以及非同步采样产生的频谱泄漏对谐波参数的估计精度有较大影响。为此,利用具有最大旁瓣衰减特性的I类Rife-Vincent窗作为父窗,提出一种新型的通用可调(p,q)阶Rife-Vincent自乘-卷积窗(RVSMC p-q),其特点在于通过改变乘积阶数和卷积阶数可以灵活地改变窗函数的主瓣宽度、旁瓣峰值和衰减速度。在此基础上,提出一种基于RVSMC p-q窗的四谱线插值高精度谐波参数估计方法,利用最小二乘拟合原理给出谐波信号的幅值、频率及相位参数的低复杂度多项式估计公式。在复杂谐波、间谐波及基波频率波动的情况下对基于RVSMC p-q窗的四谱线插值谐波参数估计方法的效果进行仿真。研究结果表明:在较低的乘积和卷积阶数条件下,新算法可以获得比经典的基于自乘积窗或自卷积窗的WIFFT算法更为优越的参数估计精度,且算法复杂度较低。 展开更多
关键词 谐波分析 参数估计 (p q)阶rife-Vincent自乘-卷积窗(rVSMC p-q) 四谱线插值 低复杂度
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Eigenstructure Assignment in a Class of Second-order Descriptor Linear Systems: A Complete Parametric Approach 被引量:4
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作者 Guang-Ren Duan Center for Control Theory and Guidance Technology, Harbin Institute of Technology, P. O. Box 416, Harbin, 150001, PRC Guo-Sheng Wang Department of Control Engineering, Academy of Armored Force Engineering, Beijing, 100072, PRC 《International Journal of Automation and computing》 EI 2005年第1期1-5,共5页
In this paper eigenstructure assignment via proportional-plus-derivative feedback is investigated for a class of second-order descriptor linear systems. Under certain conditions, simple, general and complete parametri... In this paper eigenstructure assignment via proportional-plus-derivative feedback is investigated for a class of second-order descriptor linear systems. Under certain conditions, simple, general and complete parametric solutions of both finite closed-loop eigenvector matrices and feedback gain matrices are derived. The parametric approach utilizes directly original system data, involves manipulations only on n-dimensional matrices, and reveals all the design degrees of freedom which can be further utilized to achieve certain additional system specifications. A numerical example shows the effect of the proposed approach. 展开更多
关键词 SECOND order descriptor linear systems eigenstructure assignment proportional plus derivative feedback r CONTrOLLABLE
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Preparation and characteristics of indium tin oxide (ITO) thin films at low temperature by r.f. magnetron sputtering 被引量:4
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作者 REN Bingyan LIU Xiaoping WANG Minhua XU Ying 《Rare Metals》 SCIE EI CAS CSCD 2006年第z1期137-140,共4页
Low resistivity and highly transparent ITO conducting films for solar cell applications were fabricated at low temperature by r.f. magnetron sputtering. ITO films were deposited on glass and silicon substrate. Electri... Low resistivity and highly transparent ITO conducting films for solar cell applications were fabricated at low temperature by r.f. magnetron sputtering. ITO films were deposited on glass and silicon substrate. Electrical, optical, structural and morphological properties of the ITO films were investigated in terms of the preparation conditions. The annealing treatment has improved the properties of the ITO films at different degree. The maximum transmittance of the obtained ITO films in the visible range is over 92%, and the low resistivity for the ITO films are about 3.85×10-4 Ω·cm at 80 ℃, 80 W after annealing. 展开更多
关键词 ITO r.f. magnetron sputtering low temperature ANNEALING
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A Method for Calculation of Low-Frequency Slow Drift Motions Based on NURBS for Floating Bodies 被引量:2
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作者 刘文玺 任慧龙 《China Ocean Engineering》 SCIE EI 2009年第3期399-414,共16页
Through a higher-order boundary element method based on NURBS (Non-uniform Rational B-splines), the calculation of second-order low-frequency forces and slow drift motions is conducted for floating bodies. In the fl... Through a higher-order boundary element method based on NURBS (Non-uniform Rational B-splines), the calculation of second-order low-frequency forces and slow drift motions is conducted for floating bodies. In the floating body's inner domain, an auxiliary equation is obtained by applying a Green function which satisfies the solid surface condition. Then, the auxiliary equation and the velocity potential equation are combined in the fluid domain to remove the solid angle coefficient and the singularity of the double layer potentials in the integral equation. Thus, a new velocity potential integral equation is obtained. The new equation is extended to the inner domain to reheve the irregular frequency effects; on the basis of the order analysis, the comparison is made about the contribution of all integral terms with the result in the second-order tow-frequency problem; the higher-order boundary element method based on NURBS is apphed to calculate the geometric position and velocity potentials; the slow drift motions are calculated by the spectrum analysis method. Removing the solid angle coefficient can apply NURBS technology to the hydrodynamic calculation of floating bodies with complex surfaces, and the extended boundary integral method can reduce the irregular frequency effects. Order analysis shows that free surface integral can be neglected, and the numerical results can also prove the correctness of order analysis. The results of second-order low-frequency forces and slow drift motions and the comparison with the results from references show that the application of the NURBS technology to the second-order low-frequency problem is of high efficiency and credible results. 展开更多
关键词 splines higher-order boundary element method second-order low-frequency force slow drift motions irregular frequencies spectrum analysis order analysis
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The effects of drainage basin geomorphometry on minimum low flow discharge: the study of small watershed in Kelang River Valley in Peninsular Malaysia 被引量:2
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作者 Ahmad Jailani Muhamed Yunus Nobukazu Nakagoshi Khairulmaini Osman Salleh 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2003年第2期249-262,共14页
This study investigate the relationships between geomorphometric properties and the minimum low flow discharge of undisturbed drainage basins in the Taman Bukit Cahaya Seri Alam Forest Reserve, Peninsular Malaysia. Th... This study investigate the relationships between geomorphometric properties and the minimum low flow discharge of undisturbed drainage basins in the Taman Bukit Cahaya Seri Alam Forest Reserve, Peninsular Malaysia. The drainage basins selected were third-order basins so as to facilitate a common base for sampling and performing an unbiased statistical analyses. Three levels of relationships were observed in the study. Significant relationships existed between the geomorphometric properties as shown by the correlation network analysis; secondly, individual geomorphometric properties were observed to influence minimum flow discharge; and finally, the multiple regression model set up showed that minimum flow discharge(Q min) was dependent of basin area(AU), stream length(LS), maximum relief(Hmax), average relief(HAV) and stream frequency(SF). These findings further enforced other studies of this nature that drainage basins were dynamic and functional entities whose operations were governed by complex interrelationships occurring within the basins. Changes to any of the geomorphometric properties would influence their role as basin regulators thus influencing a change in basin response. In the case of the basin's minimum low flow, a change in any of the properties considered in the regression model influenced the “time to peak' of flow. A shorter time period would mean higher discharge, which is generally considered the prerequisite to flooding. This research also conclude that the role of geomorphometric properties to control the water supply within the stream through out the year even though during the drought and less precipitations months. Drainage basins are sensitive entities and any deteriorations involve will generate reciprocals and response to the water supply as well as the habitat within the areas. 展开更多
关键词 geomorphometric minimum low flow discharge regression model third-order drainage basins
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Effect of stabilizing elements Nb and Ti on the microstructure and properties of low carbon ferritic stainless steel 被引量:2
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作者 ZHANG Xin SUN Quanshe +1 位作者 ZHOU En DU Wei 《Baosteel Technical Research》 CAS 2010年第1期30-34,共5页
The effect of stabilizing elements, such as Nb and Ti, on the microstructure and properties of low carbon ferritic stainless steel (FSS) has been investigated. The results of the Thermo-calc simulation have shown th... The effect of stabilizing elements, such as Nb and Ti, on the microstructure and properties of low carbon ferritic stainless steel (FSS) has been investigated. The results of the Thermo-calc simulation have shown that the interstitial elements, such as C and N, may be completely stabilized by the addition of Nb and Ti. With the increase of Nb and Ti contents ,the α + γ two phases gradually transfer to a single α-phase under a high temperature condition ,and the content of the carbide M23 C6 gradually decreases. The microstructure has indicated that the combined addition of Nb and Ti can promote the recrystallization of the band structure and form more uniform equiaxed grains. Also, with the increase of Nb and Ti contents,the elongation, the r-value and the corrosion resistance of cold-rolled and annealed sheets are improved prominently. In comparison with the effect of Ti ,the addition of Nb is more beneficial to the increase of r-value and the corrosion resistance. 展开更多
关键词 low carbon ferritic stainless steel stabilizing element r-VALUE corrosion resistance
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A mixed finite element scheme for viscoelastic flows with XPP model 被引量:1
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作者 Xianhong Han Xikui Li 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2008年第6期671-680,共10页
A mixed finite element formulation for viscoelastic flows is derived in this paper, in which the FIC (finite incremental calculus) pressure stabilization process and the DEVSS (discrete elastic viscous stress split... A mixed finite element formulation for viscoelastic flows is derived in this paper, in which the FIC (finite incremental calculus) pressure stabilization process and the DEVSS (discrete elastic viscous stress splitting) method using the Crank-Nicolson-based split are introduced within a general framework of the iterative version of the fractional step algorithm. The SU (streamline-upwind) method is particularly chosen to tackle the convective terms in constitutive equations of viscoelastic flows. Thanks to the proposed scheme the finite elements with equal low-order interpolation approximations for stress-velocity-pressure variables can be successfully used even for viscoelastic flows with high Weissenberg numbers. The XPP (extended Pom-Pom) constitutive model for describing viscoelastic behaviors is particularly integrated into the proposed scheme. The numerical results for the 4:1 sudden contraction flow problem demonstrate prominent stability, accuracy and convergence rate of the proposed scheme in both pressure and stress distributions over the flow domain within a wide range of the Weissenberg number, particularly the capability in reproducing the results, which can be used to explain the "die swell" phenomenon observed in the polymer injection molding process. 展开更多
关键词 Viscoelastic flow XPP model low-order finite elements Iterative procedure Die swell
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Space-Fractional Diffusion with Variable Order and Diffusivity:Discretization and Direct Solution Strategies
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作者 Hasnaa Alzahrani George Turkiyyah +1 位作者 Omar Knio David Keyes 《Communications on Applied Mathematics and Computation》 2022年第4期1416-1440,共25页
We consider the multidimensional space-fractional diffusion equations with spatially varying diffusivity and fractional order.Significant computational challenges are encoun-tered when solving these equations due to t... We consider the multidimensional space-fractional diffusion equations with spatially varying diffusivity and fractional order.Significant computational challenges are encoun-tered when solving these equations due to the kernel singularity in the fractional integral operator and the resulting dense discretized operators,which quickly become prohibitively expensive to handle because of their memory and arithmetic complexities.In this work,we present a singularity-aware discretization scheme that regularizes the singular integrals through a singularity subtraction technique adapted to the spatial variability of diffusiv-ity and fractional order.This regularization strategy is conveniently formulated as a sparse matrix correction that is added to the dense operator,and is applicable to different formula-tions of fractional diffusion equations.We also present a block low rank representation to handle the dense matrix representations,by exploiting the ability to approximate blocks of the resulting formally dense matrix by low rank factorizations.A Cholesky factorization solver operates directly on this representation using the low rank blocks as its atomic com-putational tiles,and achieves high performance on multicore hardware.Numerical results show that the singularity treatment is robust,substantially reduces discretization errors,and attains the first-order convergence rate allowed by the regularity of the solutions.They also show that considerable savings are obtained in storage(O(N^(1.5)))and computational cost(O(N^(2)))compared to dense factorizations.This translates to orders-of-magnitude savings in memory and time on multidimensional problems,and shows that the proposed methods offer practical tools for tackling large nonlocal fractional diffusion simulations. 展开更多
关键词 Fractional diffusion Variable order Variable diffusivity Singularity subtraction Block low rank matrix Tile low rank(TLr)Cholesky
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PARTIAL ELIMINTATION ALGORITHM FOR A LINEAR RECURRENCE SYSTEM R(n, m) OF ORDER m
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作者 郑慧娆 黄传河 樊戊 《Acta Mathematica Scientia》 SCIE CSCD 1993年第3期241-250,共10页
This paper presents an algorithm for computing a linear recurrence system R(n, m) of order m for n equations on MIMD parallel system. This algorithm is not only easy to be programmed on a parallel computer system, but... This paper presents an algorithm for computing a linear recurrence system R(n, m) of order m for n equations on MIMD parallel system. This algorithm is not only easy to be programmed on a parallel computer system, but also reduces the data-waiting time due to compute-ahead strategy. The paper analyses how to achieve maximal load balancing when the algorithm is implemented on MIMD parallel system. By the end of the paper, an analysis on the speedup and parallel efficiency are given. The results indicate that the new parallel elimination algorithm has great improvement compared with the old ones. 展开更多
关键词 MIMD OF order m PArTIAL ELIMINTATION ALGOrITHM FOr A LINEAr rECUrrENCE SYSTEM r
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