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MHD flow of upper-convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method 认领 引用 被引量：4
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作者 S.S.MOTSA T.HAYAT O.M.ALDOSSARY 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2012年第8期975-990,共16页
This paper investigates the magnetohydrodynamic （MHD） boundary layer flow of an incompressible upper-convected Maxwell （UCM） fluid over a porous stretching surface. Similarity transformations are used to reduce th... This paper investigates the magnetohydrodynamic （MHD） boundary layer flow of an incompressible upper-convected Maxwell （UCM） fluid over a porous stretching surface. Similarity transformations are used to reduce the governing partial differential equations into a kind of nonlinear ordinary differential equations. The nonlinear prob- lem is solved by using the successive Taylor series linearization method （STSLM）. The computations for velocity components are carried out for the emerging parameters. The numerical values of the skin friction coefficient are presented and analyzed for various parameters of interest in the problem. 展开更多
关键词 upper-convected Maxwell （UCM） fluid boundary layer flow successivelinearization method successive Taylor series linearization method （STSLM）
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On filter-successive linearization methods for nonlinear semidefinite programming 认领 引用 被引量：17
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作者 LI ChengJin SUN WenYu 《Science China Mathematics》 2009年第11期2341-2361,共21页
In this paper we present a filter-successive linearization method with trust region for solutions of nonlinear semidefinite programming. Such a method is based on the concept of filter for nonlinear programming introd... In this paper we present a filter-successive linearization method with trust region for solutions of nonlinear semidefinite programming. Such a method is based on the concept of filter for nonlinear programming introduced by Fletcher and Leyffer in 2002. We describe the new algorithm and prove its global convergence under weaker assumptions. Some numerical results are reported and show that the new method is potentially efficient. 展开更多
关键词 semidefinite programming nonlinear optimization successive linearization method filter method global convergence 65K05 90C30
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On linearization method to MHD boundary layer convective heat transfer with low pressure gradient 认领 引用 被引量：4
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作者 Mohammed A.Mohammed Ahmed Mohammed E.Mohammed Ahmed A.Khidir 《Propulsion and Power Research》 2015年第2期105-113,共9页
The paper highlights the application of a recent semi-numerical successive linearization method(SLM)in solving highly coupled,nonlinear boundary value problem.The method is presented in detail by solving the problem o... The paper highlights the application of a recent semi-numerical successive linearization method(SLM)in solving highly coupled,nonlinear boundary value problem.The method is presented in detail by solving the problem of boundary layer convective heat transfer with low pressure gradient in the presence of viscous dissipation and radiation effects.The effects of the parameters on the flow are investigated.The velocity,temperature,skinfriction,and heat transfer coefficients have been obtained and discussed for various physical parametric values. 展开更多
关键词 Successive linearization method Magnetohydrodynamics(MHD) Boundary layer convective heat transfer Pressure gradient Viscous dissipation
A proximal alternating linearization method for minimizing the sum of two convex functions 认领 引用
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作者 ZHANG WenXing CAI XingJu JIA ZeHui 《Science China Mathematics》 SCIE CSCD 2015年第10期2225-2244,共20页
In this paper, we develop a novel alternating linearization method for solving convex minimization whose objective function is the sum of two separable functions. The motivation of the paper is to extend the recent wo... In this paper, we develop a novel alternating linearization method for solving convex minimization whose objective function is the sum of two separable functions. The motivation of the paper is to extend the recent work Goldfarb et al.(2013) to cope with more generic convex minimization. For the proposed method,both the separable objective functions and the auxiliary penalty terms are linearized. Provided that the separable objective functions belong to C1,1(Rn), we prove the O(1/?) arithmetical complexity of the new method. Some preliminary numerical simulations involving image processing and compressive sensing are conducted. 展开更多
关键词 alternating linearization method arithmetical complexity proximal separable image processing
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A novel asymptotic linear method for micro-pressure wave mitigation at high-speed maglev tunnel exit:A case study with various open ratios on tunnel hoods 认领 引用 被引量：10
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作者 ZHANG Jie ZHANG Mo-lin +2 位作者 HAN Shuai LIU Tang-hong GAO Guang-jun 《Journal of Central South University》 SCIE EI CAS CSCD 2025年第5期1955-1972,共18页
A high-speed train travelling from the open air into a narrow tunnel will cause the“sonic boom”at tunnel exit.When the maglev train’s speed reaches 600 km/h,the train-tunnel aerodynamic effect is intensified,so a n... A high-speed train travelling from the open air into a narrow tunnel will cause the“sonic boom”at tunnel exit.When the maglev train’s speed reaches 600 km/h,the train-tunnel aerodynamic effect is intensified,so a new mitigation method is urgently expected to be explored.This study proposed a novel asymptotic linear method(ALM)for micro pressure wave(MPW)mitigation to achieve a constant gradient of initial c ompression waves(ICWs),via a study with various open ratios on hoods.The properties of ICWs and MPWs under various open ratios of hoods were analyzed.The results show that as the open ratio increases,the MPW amplitude at the tunnel exit initially decreases before rising.At the open ratio of 2.28%,the slope of the ICW curve is linearly coincident with a supposed straight line in the ALM,which further reduces the MPW amplitude by 26.9%at 20 m and 20.0%at 50 m from the exit,as compared to the unvented hood.Therefore,the proposed method effectively mitigates MPW and quickly determines the upper limit of alleviation for the MPW amplitude at a fixed train-tunnel operation condition.All achievements provide a ne w potential measure for the adaptive design of tunnel hoods. 展开更多
关键词 novel asymptotic linear method high-speed maglev train micro-pressure wave tunnel hood with various open ratios
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Linearization Learning Method of BP Neural Networks 认领 引用 被引量：4
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作者 Zhou Shaoqian Ding Lixin +1 位作者 Zhang Jian Tang Xinhua 《Wuhan University Journal of Natural Sciences》 CAS 1997年第1期37-41,共5页
Feedforward multi layer neural networks have very strong mapping capability that is based on the non linearity of the activation function, however, the non linearity of the activation function can cause the multiple l... Feedforward multi layer neural networks have very strong mapping capability that is based on the non linearity of the activation function, however, the non linearity of the activation function can cause the multiple local minima on the learning error surfaces, which affect the learning rate and solving optimal weights. This paper proposes a learning method linearizing non linearity of the activation function and discusses its merits and demerits theoretically. 展开更多
关键词 BP neural networks activation function linearization method
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A high output power 340 GHz balanced frequency doubler designed based on linear optimization method 认领 引用
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作者 LIU Zhi-Cheng ZHOU Jing-Tao +5 位作者 MENG Jin WEI Hao-Miao YANG Cheng-Yue SU Yong-Bo JIN Zhi JIA Rui 《红外与毫米波学报》 SCIE EI CAS CSCD 北大核心 2025年第2期184-191,共8页
In this paper,a linear optimization method(LOM)for the design of terahertz circuits is presented,aimed at enhancing the simulation efficacy and reducing the time of the circuit design workflow.This method enables the ... In this paper,a linear optimization method(LOM)for the design of terahertz circuits is presented,aimed at enhancing the simulation efficacy and reducing the time of the circuit design workflow.This method enables the rapid determination of optimal embedding impedance for diodes across a specific bandwidth to achieve maximum efficiency through harmonic balance simulations.By optimizing the linear matching circuit with the optimal embedding impedance,the method effectively segregates the simulation of the linear segments from the nonlinear segments in the frequency multiplier circuit,substantially improving the speed of simulations.The design of on-chip linear matching circuits adopts a modular circuit design strategy,incorporating fixed load resistors to simplify the matching challenge.Utilizing this approach,a 340 GHz frequency doubler was developed and measured.The results demonstrate that,across a bandwidth of 330 GHz to 342 GHz,the efficiency of the doubler remains above 10%,with an input power ranging from 98 mW to 141mW and an output power exceeding 13 mW.Notably,at an input power of 141 mW,a peak output power of 21.8 mW was achieved at 334 GHz,corresponding to an efficiency of 15.8%. 展开更多
关键词 linear optimization method(LOM) three-dimensional electromagnetic model(3D-EM) Harmonic impedance optimization Schottky planar diode Terahertz frequency doubler
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In situ stress inversion using nonlinear stress boundaries achieved by the bubbling method 认领 引用 被引量：2
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作者 Xige Liu Chenchun Huang +3 位作者 Wancheng Zhu Joung Oh Chengguo Zhang Guangyao Si 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2025年第3期1510-1527,共18页
Due to the heterogeneity of rock masses and the variability of in situ stress,the traditional linear inversion method is insufficiently accurate to achieve high accuracy of the in situ stress field.To address this cha... Due to the heterogeneity of rock masses and the variability of in situ stress,the traditional linear inversion method is insufficiently accurate to achieve high accuracy of the in situ stress field.To address this challenge,nonlinear stress boundaries for a numerical model are determined through regression analysis of a series of nonlinear coefficient matrices,which are derived from the bubbling method.Considering the randomness and flexibility of the bubbling method,a parametric study is conducted to determine recommended ranges for these parameters,including the standard deviation(σb)of bubble radii,the non-uniform coefficient matrix number(λ)for nonlinear stress boundaries,and the number(m)and positions of in situ stress measurement points.A model case study provides a reference for the selection of these parameters.Additionally,when the nonlinear in situ stress inversion method is employed,stress distortion inevitably occurs near model boundaries,aligning with the Saint Venant's principle.Two strategies are proposed accordingly:employing a systematic reduction of nonlinear coefficients to achieve high inversion accuracy while minimizing significant stress distortion,and excluding regions with severe stress distortion near the model edges while utilizing the central part of the model for subsequent simulations.These two strategies have been successfully implemented in the nonlinear in situ stress inversion of the Xincheng Gold Mine and have achieved higher inversion accuracy than the linear method.Specifically,the linear and nonlinear inversion methods yield root mean square errors(RMSE)of 4.15 and 3.2,and inversion relative errors(δAve)of 22.08%and 17.55%,respectively.Therefore,the nonlinear inversion method outperforms the traditional multiple linear regression method,even in the presence of a systematic reduction in the nonlinear stress boundaries. 展开更多
关键词 In situ stress field Inversion method The bubbling method Nonlinear stress boundary Multiple linear regression method
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Sensitivity analysis of vibration characteristics and dynamic responses of a tracked vehicle 认领 引用 被引量：1
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作者 Xun Wang Xue Rui +3 位作者 Jinghong Wang Xiaoting Rui Guoping Wang Pingxin Wang 《Defence Technology（防务技术）》 SCIE EI CAS CSCD 2026年第3期323-348,共26页
This study aims to establish an integrated sensitivity analysis framework for optimization and design of the dynamic performance of mechanical systems such as tracked vehicles,by combining the direct differentiation m... This study aims to establish an integrated sensitivity analysis framework for optimization and design of the dynamic performance of mechanical systems such as tracked vehicles,by combining the direct differentiation method(DDM)with the linear multibody system transfer matrix method(linear MSTMM).The rigid-flexible coupled multibody system dynamics model of a tracked vehicle is established using the linear MSTMM and validated through the modal test.Building upon the existing DDM-based eigenvalue sensitivity analysis method within the linear MSTMM,the DDM is embedded into it to enable programmable and efficient computation of dynamic response sensitivities for mechanical systems.The proposed approach is used to quantitatively evaluate the sensitivities of both natural vibration characteristics(e.g.,natural frequencies and mode shapes)and transient dynamic responses of the tracked vehicle with respect to system parameters,successfully identifying critical structural parameters.Compared to conventional finite difference methods,the developed methodology eliminates sensitivity to perturbation step sizes.The contributions of this work lie in establishing a unified theoretical foundation and analysis framework for guiding dynamics optimization and design of mechanical systems,and extending the applicability of the linear MSTMM to sensitivity analysis of transient dynamic responses. 展开更多
关键词 Tracked vehicle Sensitivity analysis Vibration characteristics Dynamic responses Direct differentiation method Linear multibody system transfer matrix method
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An efficient approach for the equivalent linearization of frame structures with plastic hinges under nonstationary seismic excitations 认领 引用
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作者 Huang Huan Li Yingxiong Li Yuyu 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2024年第3期677-690,共14页
An efficient approach is proposed for the equivalent linearization of frame structures with plastic hinges under nonstationary seismic excitations.The concentrated plastic hinges,described by the Bouc-Wen model,are as... An efficient approach is proposed for the equivalent linearization of frame structures with plastic hinges under nonstationary seismic excitations.The concentrated plastic hinges,described by the Bouc-Wen model,are assumed to occur at the two ends of a linear-elastic beam element.The auxiliary differential equations governing the plastic rotational displacements and their corresponding hysteretic displacements are replaced with linearized differential equations.Then,the two sets of equations of motion for the original nonlinear system can be reduced to an expanded-order equivalent linearized equation of motion for equivalent linear systems.To solve the equation of motion for equivalent linear systems,the nonstationary random vibration analysis is carried out based on the explicit time-domain method with high efficiency.Finally,the proposed treatment method for initial values of equivalent parameters is investigated in conjunction with parallel computing technology,which provides a new way of obtaining the equivalent linear systems at different time instants.Based on the explicit time-domain method,the key responses of interest of the converged equivalent linear system can be calculated through dimension reduction analysis with high efficiency.Numerical examples indicate that the proposed approach has high computational efficiency,and shows good applicability to weak nonlinear and medium-intensity nonlinear systems. 展开更多
关键词 nonstationary random vibration plastic hinge equivalent linearization method explicit time-domain method parallel computation
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Transfer matrix method for determination of the natural vibration characteristics of elastically coupled launch vehicle boosters 认领 引用 被引量：7
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作者 Laith K.Abbas Qinbo Zhou +1 位作者 Hossam Hendy Xiaoting Rui 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2015年第4期570-580,共11页
The analysis of natural vibration characteristics has become one of important steps of the manufacture and dynamic design in the aerospace industry. This paper presents a new scenario called virtual cutting in the con... The analysis of natural vibration characteristics has become one of important steps of the manufacture and dynamic design in the aerospace industry. This paper presents a new scenario called virtual cutting in the context of the transfer matrix method of linear multibody systems closed- loop topology for computing the free vibration characteristics of elastically coupled flexible launch vehicle boosters. In this approach, the coupled system is idealized as a triple-beam system-like structure coupled by linear translational springs, where a non-uniform free-free Euler-Bemoulli beam is used. A large thrust-to-weight ratio leads to large axial accelera- tions that result in an axial inertia load distribution from nose to tail. Consequently, it causes the development of significant compressive forces along the length of the launch vehicle. Therefore, it is important to take into account this effect in the transverse vibration model. This scenario does not need the global dynamics equations of a system, and it has high computational efficiency and low memory requirements. The validity of the presented scenario is achieved through com- parison to other approaches published in the literature. 展开更多
关键词 Transfer matrix method of linear multibodysystems Free vibration characteristics Coupled launchvehicle boosters
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Preconditioned iterative methods for solving weighted linear least squares problems 认领 引用 被引量：4
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作者 沈海龙 邵新慧 张铁 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2012年第3期375-384,共10页
A class of preconditioned iterative methods, i.e., preconditioned generalized accelerated overrelaxation （GAOR） methods, is proposed to solve linear systems based on a class of weighted linear least squares problems... A class of preconditioned iterative methods, i.e., preconditioned generalized accelerated overrelaxation （GAOR） methods, is proposed to solve linear systems based on a class of weighted linear least squares problems. The convergence and comparison results are obtained. The comparison results show that the convergence rate of the preconditioned iterative methods is better than that of the original methods. Furthermore, the effectiveness of the proposed methods is shown in the numerical experiment. 展开更多
关键词 preconditioner generalized accelerated overrelaxation （GAOR） method weighted linear least squares problem convergence
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Calculation of Significant Wave Height Using the Linear Mean Square Estimation Method 认领 引用 被引量：2
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作者 GAO Yangyang YU Dingyong +1 位作者 LI Cuilin XU Delun 《Journal of Ocean University of China》 CAS 2010年第4期327-332,共6页
Significant wave height is an important criterion in designing coastal and offshore structures.Based on the orthogonality principle, the linear mean square estimation method is applied to calculate significant wave he... Significant wave height is an important criterion in designing coastal and offshore structures.Based on the orthogonality principle, the linear mean square estimation method is applied to calculate significant wave height in this paper.Twenty-eight-year time series of wave data collected from three ocean buoys near San Francisco along the California coast are analyzed.It is proved theoretically that the computation error will be reduced by using as many measured data as possible for the calculation of significant wave height.Measured significant wave height at one buoy location is compared with the calculated value based on the data from two other adjacent buoys.The results indicate that the linear mean square estimation method can be well applied to the calculation and prediction of significant wave height in coastal regions. 展开更多
关键词 significant wave height linear mean square estimation method orthogonality principle
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Structure of Graphene, and Mechanical and Bonding Characteristics of Single Wall Carbon Nanotube by Linear Scaling Quantum Mechanical Method 认领 引用 被引量：1
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作者 Jun Cai Guiqin Li +1 位作者 Chongyu Wang Zhiyong Xie 《Journal of Materials Science & Technology》 SCIE EI CAS 2010年第7期614-618,共5页
Using a linear scaling self-consistent-charge density functional tight binding （SCC-DFTB） and an ab initio Omol method, the bonding characteristics and Young＇s modulus of （10, 0） and （10,10） single-walled carbo... Using a linear scaling self-consistent-charge density functional tight binding （SCC-DFTB） and an ab initio Omol method, the bonding characteristics and Young＇s modulus of （10, 0） and （10,10） single-walled carbon nanotubes are calculated. The structure of a graphene is also calculated. It is found that the C-C and C-H bond length, their distribution characteristics on the tube, and Young^s modulus of the tube by linear scaling SCC-DFTB are identical to those by ab initio, while the computing cost by the linear scaling SCC-DFTB is reduced by more than 30 times as compared with that by the Dmol for the （10,0） and （10,10） tubes. By computing the structure of a graphene it is also found that the linear scaling SCCDFTB is reliable and time-saving. 展开更多
关键词 Single walled nanotube tube Young＇s modulus Linear scaling method Density functional tight-binding
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THE LINEAR SAMPLING METHOD FOR RECONSTRUCTING A PENETRABLE CAVITY WITH UNKNOWN EXTERNAL OBSTACLES 认领 引用 被引量：1
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作者 叶建国 严国政 《Acta Mathematica Scientia》 SCIE CSCD 2023年第2期751-776,共26页
We consider the interior inverse scattering problem for recovering the shape of a penetrable partially coated cavity with external obstacles from the knowledge of measured scattered waves due to point sources.In the f... We consider the interior inverse scattering problem for recovering the shape of a penetrable partially coated cavity with external obstacles from the knowledge of measured scattered waves due to point sources.In the first part,we obtain the well-posedness of the direct scattering problem by the variational method.In the second part,we establish the mathematical basis of the linear sampling method to recover both the shape of the cavity,and the shape of the external obstacle,however the exterior transmission eigenvalue problem also plays a key role in the discussion of this paper. 展开更多
关键词 inverse scattering mixed boundary value problem exterior transmission eigen-value interior measurements linear sampling method
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Analysis of the Linear Sampling Method for Boundary Reconstruction of Chiral Obstacle in Electromagnetic Scattering Problems 认领 引用 被引量：2
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作者 高天玲 马富明 张德悦 《Northeastern Mathematical Journal》 2006年第4期491-502,共12页
In this paper, we consider the inverse scattering by chiral obstacle in electromagnetic fields, and prove that the linear sampling method is also effective to determine the support of a chiral obstacle from the noisy ... In this paper, we consider the inverse scattering by chiral obstacle in electromagnetic fields, and prove that the linear sampling method is also effective to determine the support of a chiral obstacle from the noisy far field data. 展开更多
关键词 chiral obstacle Maxwell＇s equation electromagnetic scattering linear sampling method
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C^1 natural element method for strain gradient linear elasticity and its application to microstructures 认领 引用 被引量：2
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作者 Zhi-Feng Nie Shen-Jie Zhou +2 位作者 Ru-Jun Han Lin-Jing Xiao Kai Wang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2012年第1期91-103,共13页
C^1 natural element method （C^1 NEM） is applied to strain gradient linear elasticity, and size effects on mi crostructures are analyzed. The shape functions in C^1 NEM are built upon the natural neighbor interpolati... C^1 natural element method （C^1 NEM） is applied to strain gradient linear elasticity, and size effects on mi crostructures are analyzed. The shape functions in C^1 NEM are built upon the natural neighbor interpolation （NNI）, with interpolation realized to nodal function and nodal gradient values, so that the essential boundary conditions （EBCs） can be imposed directly in a Galerkin scheme for partial differential equations （PDEs）. In the present paper, C^1 NEM for strain gradient linear elasticity is constructed, and sev- eral typical examples which have analytical solutions are presented to illustrate the effectiveness of the constructed method. In its application to microstructures, the size effects of bending stiffness and stress concentration factor （SCF） are studied for microspeciem and microgripper, respectively. It is observed that the size effects become rather strong when the width of spring for microgripper, the radius of circular perforation and the long axis of elliptical perforation for microspeciem come close to the material characteristic length scales. For the U-shaped notch, the size effects decline obviously with increasing notch radius, and decline mildly with increasing length of notch. 展开更多
关键词 Strain gradient linear elasticity C^1 natural element method Sibson interpolation Microstructures Size effects
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NGP_G-STABILITY OF LINEAR MULTISTEP METHODS FOR SYSTEMS OF GENERALIZED NEUTRAL DELAY DIFFERENTIAL EQUATIONS 认领 引用 被引量：1
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作者 CONG Yu-hao 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第7期827-835,共9页
The stability analysis of linear multistep methods for the numerical solutions of the systems of generalized neutral delay differential equations is discussed. The stability behaviour of linear multistep methods was a... The stability analysis of linear multistep methods for the numerical solutions of the systems of generalized neutral delay differential equations is discussed. The stability behaviour of linear multistep methods was analysed for the solution of the generalized system of linear neutral test equations, After the establishment of a sufficient condition for asymptotic stability of the solutions of the generalized system, it is shown that a linear multistep method is NGP(G)-stable if and only if it is A-stable. 展开更多
关键词 generalized neutral delay differential system asymptotic stability linear multistep methods NGP(G)-stability
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A review of software-based detection and mitigation techniques for radio frequency interference in radio astronomy 认领 引用
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作者 Jie He Minghui Li Mingjie Chen 《Astronomical Techniques and Instruments》 CSCD 2026年第4期312-336,共25页
Radio astronomy is crucial for understanding the origin,structure,and evolution of the universe,and for exploring extreme matter states in astrophysical environments.However,radio signals are often disrupted by noise ... Radio astronomy is crucial for understanding the origin,structure,and evolution of the universe,and for exploring extreme matter states in astrophysical environments.However,radio signals are often disrupted by noise and interference.Detecting and reducing radio frequency interference is vital for maximizing the scientific output of radio telescopes.Traditional methods like Singular Value Decomposition,Principal Component Analysis,Cumsum,and SumThreshold have limitations in handling complex interference.Recently,researchers have combined traditional machine learning with deep learning.Neural networks offer new ideas and tools for future detection of radio frequency interference.This paper discusses the principles,advantages,challenges,and effectiveness of these techniques applied to real astronomical data. 展开更多
关键词 Radio frequency interference Threshold detection Linear method Machine learning Deep learning
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Determination of Composition and Stability Constant of Praseodymium(Pr3+)Complex with Tribromoarsenazo(TBA)by Dual-Series Linear Regression Method 认领 引用
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作者 魏永巨 李克安 +1 位作者 张占辉 童沈阳 《Journal of Rare Earths》 SCIE EI CAS 1993年第4期283-287,共5页
A new method,dual-series linear regression method,has been used to study the complexation equilibrium of praseodymium(Pr3+)with tribromoarsenazo(TBA)without knowing the accurate concentra- tion of the complexing ag... A new method,dual-series linear regression method,has been used to study the complexation equilibrium of praseodymium(Pr3+)with tribromoarsenazo(TBA)without knowing the accurate concentra- tion of the complexing agent TBA.In 1.2 mol/L HCl solution, Pr3+reacts with TBA and forms 1:3 com- plex,the conditional stability constant(lgβ_3)of the complex determined is 15.47,and its molar absorptivity(ε_3630)is 1.48×10~5 L·mol-1·cm-1. 展开更多
关键词 Dual-series linear regression method Praseodymium Tribromoarsenazo Stability constant Spectrophotometry
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