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| 1 | AN ANISOTROPIC NONCONFORMING FINITE ELEMENT WITH SOME SUPERCONVERGENCE RESULTS显示文摘The main aim of this paper is to study the error estimates of a nonconforming finite element with some superconvergence results under anisotropic meshes. The anisotropic interpolation error and consistency error estimates are obtained by using some novel approaches and techniques, respectively. Furthermore, the superclose and a superconvergence estimate on the central points of elements are also obtained without the regularity assumption and quasi-uniform assumption requirement on the meshes. Finally, a numerical test is carried out, which coincides with our theoretical analysis. | Dong-yangShi Shi-pengMao Shao-chunChen | 2005 | Journal of Computational Mathematics2005，23，3： | 184 |
| 2 | CONVERGENCE ANALYSIS FOR A NONCONFORMING MEMBRANE ELEMENT ON ANISOTROPIC MESHES显示文摘有限元素网孔的常规假设为常规一致元素 andnonconform-ing 元素两个都是有限元素近似的大多数分析的一个基本条件。这篇论文的目的是介绍处理一个四度的非一致的有限元素的近似的一条新奇途径因为第二在各向异性的网孔上订椭圆形的问题。没有在那里喉部的假设或伪制服假设的精力标准和 L2 标准的最佳的错误估计基于此处发现的这个元素的一些新特殊特征被获得。数字结果被给表明我们的理论分析的有效性。 | Dong-yang Shi Shao-chun Chen Ichiro Hagiwara | 2005 | Journal of Computational Mathematics2005，23，4： | 43 |
| 3 | AN ANISOTROPIC NONCONFORMING FINITE ELEMENT METHOD FOR APPROXIMATING A CLASS OF NONLINEAR SOBOLEV EQUATIONS显示文摘各向异性的 nonconforming 有限元素方法为非线性的 Sobolev 方程的一个班被介绍。最佳的错误估计和 supercloseness 为半分离、充分分离的近似计划被获得,它与传统的有限元素方法一样。另外,全球 superconvergence 通过 postprocessing 技术被导出。数字实验被包括说明建议方法的可行性。[从作者抽象] | Dongyang Shi Haihong Wang Yuepeng Du | 2009 | Journal of Computational Mathematics2009，27，2： | 49 |
| 4 | A Survey on Deep Learning-based Fine-grained Object Classification and Semantic Segmentation显示文摘The deep learning technology has shown impressive performance in various vision tasks such as image classification, object detection and semantic segmentation. In particular, recent advances of deep learning techniques bring encouraging performance to fine-grained image classification which aims to distinguish subordinate-level categories, such as bird species or dog breeds. This task is extremely challenging due to high intra-class and low inter-class variance. In this paper, we review four types of deep learning based fine-grained image classification approaches, including the general convolutional neural networks(CNNs), part detection based,ensemble of networks based and visual attention based fine-grained image classification approaches. Besides, the deep learning based semantic segmentation approaches are also covered in this paper. The region proposal based and fully convolutional networks based approaches for semantic segmentation are introduced respectively. | Bo Zhao Jiashi Feng Xiao Wu Shuicheng Yan | 2017 | International Journal of Automation and computing2017，14，2： | 36 |
| 5 | A NONCONFORMING ANISOTROPIC FINITE ELEMENT APPROXIMATION WITH MOVING GRIDS FOR STOKES PROBLEM显示文摘这篇论文被奉献给非与动人的格子遵守有限元素计划的五个参数因为速度压力在 2-D 混合了非静止的 Stokesproblem 的明确的表达。我们证明这个元素有各向异性的行为并且基于一些新奇技术在速度和压力的一些某些标准导出各向异性的错误评价。特别通过我们得到的小心的分析,一致性错误评价上的有趣的结果,它从来没被看见过为混合了有限元素方法在以前文学。 | Dong-yang Shi Yi-ran Zhang | 2006 | Journal of Computational Mathematics2006，24，5： | 33 |
| 6 | ON SPECTRAL METHODS FOR VOLTERRA INTEGRAL EQUATIONS AND THE CONVERGENCE ANALYSIS显示文摘这个工作的主要目的是为 Volterra 不可分的方程提供一条新奇数字途径基于一光谱途径。一个 Legendre 搭配方法被建议解决第二种类型的 Volterra 不可分的方程。如果内核函数和来源函数是足够地光滑的,我们为建议方法提供严密错误分析,它显示数字错误指数地腐烂。数字结果证实领带的理论预言集中的指数的率。在这个工作的结果似乎是第一成功光谱途径(与理论理由) 为 Volterra 类型方程。 | Tao Tang Xiang XU Jin Cheng | 2008 | Journal of Computational Mathematics2008，26，6： | 32 |
| 7 | Optimal Control of Nonlinear Inverted Pendulum System Using PID Controller and LQR: Performance Analysis Without and With Disturbance Input显示文摘Linear quadratic regulator(LQR) and proportional-integral-derivative(PID) control methods, which are generally used for control of linear dynamical systems, are used in this paper to control the nonlinear dynamical system. LQR is one of the optimal control techniques, which takes into account the states of the dynamical system and control input to make the optimal control decisions.The nonlinear system states are fed to LQR which is designed using a linear state-space model. This is simple as well as robust. The inverted pendulum, a highly nonlinear unstable system, is used as a benchmark for implementing the control methods. Here the control objective is to control the system such that the cart reaches a desired position and the inverted pendulum stabilizes in the upright position. In this paper, the modeling and simulation for optimal control design of nonlinear inverted pendulum-cart dynamic system using PID controller and LQR have been presented for both cases of without and with disturbance input. The Matlab-Simulink models have been developed for simulation and performance analysis of the control schemes. The simulation results justify the comparative advantage of LQR control method. | Lal Bahadur Prasad Barjeev Tyagi Hari Om Gupta | 2014 | International Journal of Automation and computing2014，11，6： | 32 |
| 8 | Minimal Gated Unit for Recurrent Neural Networks显示文摘Recurrent neural networks(RNN) have been very successful in handling sequence data.However,understanding RNN and finding the best practices for RNN learning is a difficult task,partly because there are many competing and complex hidden units,such as the long short-term memory(LSTM) and the gated recurrent unit(GRU).We propose a gated unit for RNN,named as minimal gated unit(MGU),since it only contains one gate,which is a minimal design among all gated hidden units.The design of MGU benefits from evaluation results on LSTM and GRU in the literature.Experiments on various sequence data show that MGU has comparable accuracy with GRU,but has a simpler structure,fewer parameters,and faster training.Hence,MGU is suitable in RNN s applications.Its simple architecture also means that it is easier to evaluate and tune,and in principle it is easier to study MGU s properties theoretically and empirically. | Guo-Bing Zhou Jianxin Wu Chen-Lin Zhang Zhi-Hua Zhou | 2016 | International Journal of Automation and computing2016，13，3： | 30 |
| 9 | Current Researches and Future Development Trend of Intelligent Robot: A Review显示文摘With the advancing of industrialization and the advent of the information age, intelligent robots play an increasingly important role in intelligent manufacturing, intelligent transportation system, the Internet of things, medical health and intelligent services. Based on working experiences in and reviews on intelligent robot studies both in China and abroad, the authors summarized researches on key and leading technologies related to human-robot collaboration, driverless technology, emotion recognition, brain-computer interface, bionic software robot and cloud platform, big data network, etc. The development trend of intelligent robot was discussed, and reflections on and suggestions to intelligent robot development in China were proposed. The review is not only meant to overview leading technologies of intelligent robot all over the world, but also provide related theories, methods and technical guidance to the technological and industrial development of intelligent robot in China. | Tian-Miao Wang Yong Tao Hui Liu | 2018 | International Journal of Automation and computing2018，15，5： | 29 |
| 10 | A SELF-ADAPTIVE TRUST REGION ALGORITHM显示文摘In this paper we propose a self-adaptive trust region algorithm.The trust region radius is updated at a varable rate according to the ratio between the actual reduction and the predicted reduction of the objective function,rather than by simply enlarging or reducing the original trust region radius at a constant rate.We show that this new algorithm preserves the strong convergence property of traditional trust region methods.Numerical results are also presented. | Long Hei (Institute of Computational Mathematics and Scientific/Engineering Computing, Academy ofMathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, China)(Department of Industrial Engineering and Management Sciences Northwestern University C2SO,2145 Sheridan Road Evanston, Illinois 60208, USA) | 2003 | Journal of Computational Mathematics2003，21，2： | 29 |
| 11 | ASYMPTOTIC ERROR EXPANSION AND DEFECT CORRECTION FOR SOBOLEV AND VISCOELASTICITY TYPE EQUATIONS显示文摘In this paper we study the higher accuracy methods-the extrapolation and defect correction for the semidiscrete Galerkin approximations to the solutions of Sobolev and viscoelasticity type equations. The global extrapolation and the correction approximations of third order, rather than the pointwise extrapolation results are presented. | Qun Lin Shu-hua Zhang Ning-ning Yan(Institute of Systems Science, Chinese Academy of Sciences, Beijing, China) | 1998 | Journal of Computational Mathematics1998，16，1： | 28 |
| 12 | Implementation of Envelope Analysis on a Wireless Condition Monitoring System for Bearing Fault Diagnosis显示文摘Envelope analysis is an effective method for characterizing impulsive vibrations in wired condition monitoring(CM)systems. This paper depicts the implementation of envelope analysis on a wireless sensor node for obtaining a more convenient and reliable CM system. To maintain CM performances under the constraints of resources available in the cost effective Zigbee based wireless sensor network(WSN), a low cost cortex-M4 F microcontroller is employed as the core processor to implement the envelope analysis algorithm on the sensor node. The on-chip 12 bit analog-to-digital converter(ADC) working at 10 k Hz sampling rate is adopted to acquire vibration signals measured by a wide frequency band piezoelectric accelerometer. The data processing flow inside the processor is optimized to satisfy the large memory usage in implementing fast Fourier transform(FFT) and Hilbert transform(HT). Thus, the envelope spectrum can be computed from a data frame of 2048 points to achieve a frequency resolution acceptable for identifying the characteristic frequencies of different bearing faults. Experimental evaluation results show that the embedded envelope analysis algorithm can successfully diagnose the simulated bearing faults and the data transmission throughput can be reduced by at least 95% per frame compared with that of the raw data, allowing a large number of sensor nodes to be deployed in the network for real time monitoring. | Guo-Jin Feng James Gu Dong Zhen Mustafa Aliwan Feng-Shou Gu Andrew D.Ball | 2015 | International Journal of Automation and computing2015，12，1： | 28 |
| 13 | A MODIFIED LEVENBERG-MARQUARDT ALGORITHM FOR SINGULAR SYSTEM OF NONLINEAR EQUATIONS显示文摘Based on the work of paper,we propose a modified Levenberg-Marquardt algoithm for solving singular system of nonlinear equations F(x)=0,where F(x):R^n→R^n is continuously differentiable and F'(x)is Lipschitz continuous.The algorithm is equivalent to a trust region algorithm in some sense,and the global convergence result is given.The sequence generated by the algorithm converges to the solution quadratically,if ||F(x)||2 provides a local error bound for the system of nonlinear equations.Numerical results show that the algorithm performs well. | Jin-yan Fan (Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China) | 2003 | Journal of Computational Mathematics2003，21，5： | 27 |
| 14 | Comparison of Energy Harvesting Systems for Wireless Sensor Networks显示文摘Wireless sensor networks (WSNs) offer an attractive solution to many environmental, security, and process monitoring problems. However, one barrier to their fuller adoption is the need to supply electrical power over extended periods of time without the need for dedicated wiring. Energy harvesting provides a potential solution to this problem in many applications. This paper reviews the characteristics and energy requirements of typical sensor network nodes, assesses a range of potential ambient energy sources, and outlines the characteristics of a wide range of energy conversion devices. It then proposes a method to compare these diverse sources and conversion mechanisms in terms of their normalised power density. | James M.Gilbert Farooq Balouchi | 2008 | International Journal of Automation and computing2008，5，4： | 25 |
| 15 | CURVILINEAR PATHS AND TRUST REGION METHODS WITH NONMONOTONIC BACK TRACKING TECHNIQUE FOR UNCONSTRAINED OPTIMIZATION显示文摘In this paper we modify type approximate trust region methods via two curvilinear paths for unconstrained optimization. A mired strategy using both trust region and line search techniques is adopted which switches to back tracking steps when a trial step produced by the trust region subproblem is unacceptable. We give a series of properties of both optimal path and modified gradient path. The global convergence and fast local convergence rate of the proposed algorithms are established under some reasonable conditions. A nonmonotonic criterion is used to speed up the convergence progress in some ill-conditioned cases. | De-tong Zhu (Department of Mathematics, Shanghai Normal University, Shanghai 200234, China) | 2001 | Journal of Computational Mathematics2001，19，3： | 26 |
| 16 | NON-QUASI-NEWTON UPDATES FOR UNCONSTRAINED OPTIMIZATION显示文摘In this report we present some new numerical methods for unconstrained op-timization. These methods apply update formulae that do not satisfy the quasi-Newton equation. We derive these new formulae by considering different techniques of approkimating the objective function. Theoretical analyses are given to show the advantages of using non-quasi-Newton updates. Under mild conditions we prove that our new update formulae preserve global convergence properties. Numerical results are also presented. | YUAN, YX BYRD, RH | 1995 | Journal of Computational Mathematics1995，13，2： | 25 |
| 17 | MULTIVARIATE FOURIER SERIES OVER A CLASS OF NON TENSOR-PRODUCT PARTITION DOMAINS显示文摘This paper finds a way to extend the well-known Fourier methods,to so-called n+1 directions partition domains in n-dimension.In particular,in 2-D and 3-D cases,we study Fourier methods over 3-direction parallel hexagon partitions and 4-direction parallel paralleogram dodecahedron partitions,respectively.It has pointed that,the most concepts and results of Fourier methods on tensor-product case,such as periodicity,orthogonality of Fourier basis system,Partial sum of Fourier series and its approximation behavior,can be moved on the new non tensor-product partiton case. | Jiachang Sun(Parallel Computing Division, Institute of Software, Chinese Academy of Sciences, Beijing 100080, China) | 2003 | Journal of Computational Mathematics2003，21，1： | 25 |
| 18 | CONSTRAINED QUADRILATERAL NONCONFORMING ROTATED Q1 ELEMENT显示文摘在这篇论文,我们基于非一致定义一个新非一致的四边的有限元素由在每个元素上强制限制的旋转 Q_1 元素,它有仅仅自由的三度。我们调查一致性,近似,超级靠近的性质,分离格林的功能和这个元素的超级集中。而且,我们建议一种 newpostprocessing 技术并且把它用于这个元素。帖子处理了分离答案,这被证明是超级的在网孔上的一个温和假设下面会聚。 | Jun Hu Zhong-ci Shi | 2005 | Journal of Computational Mathematics2005，23，6： | 24 |
| 19 | GENERALIZED DIFFERENCE METHODS ON ARBITRARYQUADRILATERAL NETWORKS显示文摘1.IntroductionConsidertheboundaryvalueproblemofthePoissonequationwherefiisaconvexpolygonregon;r^OfftheboundaryofOandf(x,y)aknownfunctiononfi.Thegeneralizeddifferencemethodsonquadrilateralnetworksforellipticequationsareproposedin[11],'wheretheconverge... | Yong-hai Li Rong-hua Li(Institute of Mathematics, Jinn University, Changchun 130023, China) | 1999 | Journal of Computational Mathematics1999，17，6： | 22 |
| 20 | ON HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION METHODS FOR CONTINUOUS SYLVESTER EQUATIONS显示文摘我们在场切开的 Hermitian 和 skew-Hermitian (HSS ) 为与 non-Hermitian 和积极 definite/semi-definite 矩阵解决大稀少的连续 Sylvester 方程的重复方法。HSS 重复方法的无条件的集中被证明,集中率上的上面的界限被导出。而且到计算花费了的还原剂,我们建立 HSS 重复方法的不精确的变体并且详细分析它的集中性质。数字结果证明 HSS 重复方法和它的不精确的变体是为连续 Sylvester 方程的这个类的有效、柔韧的解答者。[从作者抽象] | Zhong-Zhi Bai | 2011 | Journal of Computational Mathematics2011，29，2： | 22 |
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