Prediction of cycle life of expansion bellows for fixed tube sheet heat exchanger by A. Chouiter, D. Benzerga, A. Haddi, T. Tamine

“…In a second step, a postprocessor based on the concept of Continuum Damage Mechanics and using Newton's iterative method will be applied to this critical area for the determination of the bellows critical lifetime. …”
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A Midcourse Guidance Method Combined with Trajectory Prediction for Antinear-Space-Gliding Vehicles by JiaQing Wan, Qian Zhang, Hao Zhang, JiaNing Liu

“…For the calculation of the starting time of the boost phase, the optimization solution satisfying the remaining flight time constraint is realized based on the Newton-Raphson iterative method. The analytical expression of a guidance command based on zero-error-miss/zero-error-velocity is established on the basis of the optimal control theory to provide an optimal flight path guiding an NSGV fly toward a point of interception. …”
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Ground GNSS Station Selection to Generate the Global Ionosphere Maps Using the Information Content by Sicheng Wang, Sixun Huang, Hanxian Fang

“…To study the problems of how many stations and which stations should be optimally chosen to generate the GIMs, a step‐by‐step iterative method based on the information content is proposed under the framework of 3DVAR data assimilation. …”
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A new -means singular value decomposition method based on self-adaptive matching pursuit and its application in fault diagnosis of rolling bearing weak fault by Hongchao Wang, Wenliao Du

“…To overcome the above-mentioned shortcomings of K -means singular value decomposition, a new K -means singular value decomposition sparse representation method based on traditional K -means singular value decomposition method was proposed in this article, which uses the sparse adaptive matching pursuit algorithm and an iterative method based on the minimum similarity of atomic structure. …”
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Study on torsional vibration characteristics of compressor flexible rotors considering contact clearance by HUANG Zhiqiang, WANG Jie, LI Tao, LI Gang, WANG Shuo, MU Dequan

“…The torsional vibration of reciprocating compressor crankshaft system can cause major problems such as burnt bearings and shaft fracture.In order to understand the torsional vibration response of the compressor rotor system, a torsional vibration mechanics solution method for the flexible rotor system of the compressor considering the bushing-pin collision clearance and the oil film clearance of the crankshaft-bearing was proposed, which provided a new idea and method to avoid the natural frequency of the crankshaft system.Based on the multi-body dynamics and Hertz contact theory，the torsional dynamic response of the crankshaft system with collision clearance was solved.The results show that the torsional vibration amplitude of the 4th column crank pin is the largest, the torsional angular displacement amplitude is 0.051°, and the dynamic angular velocity peak value is 156.026 rad/s.Based on this, the crankshaft-bearing oil film clearance was considered, the oil film pressure of sliding bearings was calculated by the finite difference method and the over-relaxation iterative method, and the dynamic characteristic coefficients of bearings were solved according to pressure perturbation method.The effects of the bushing-pin collision clearance and the crankshaft-bearing oil film clearance on the dynamic response of the crankshaft system were comprehensively considered in the modal analysis of the crankshaft system under preload.The resonance of the crankshaft with and without oil film clearances was compared. …”
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STABILITY ANALYSIS OF SPHERICAL HYBRID SLIDING BEARINGS CONSIDERING BOUNDARY SLIP STATE by CHENG Pan, SHEN JingFeng, QIN Wei, XUE Hao, ZHU Rui

“…For the transient Reynolds equation in the boundary slipstate, the equation uses the small perturbation method to derive the partial differential equation of the perturbation pressure, and combines the finite difference method and the relaxation iterative method to solve the equation to obtain the stiffness and damping coefficient of the ball bearing under the state of boundary slip, and then establish the shafting trajectory equation to solve the instability speed. …”
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The Effect of Shear Sliding of Vertical Contraction Joints on Seismic Response of High Arch Dams with Fine Finite Element Model by Shengshan Guo, Jianxin Liao, Hailong Huang, Hui Liang, Deyu Li, Houqun Chen, Aijing Zhang, Yifu Tian

“…Different from the conventional Gauss iterative method, the strategy of the alternating iterative solution of normal force and tangential force is employed. …”
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Adaptive Spatial Regularization Target Tracking Algorithm Based on Multifeature Fusion by Turdi Tohti, Xifeng Guo, Askar Hamdulla

“…In addition, the benchmark algorithm SRDCF uses Gaussian–Seidel iterative method to solve the filter, which makes the tracking speed very slow and cannot be tracked in real time. …”
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Donor Impurity Related Linear and Nonlinear Optical Properties of Symmetric and Asymmetric Double Triangular Quantum Dots by Emre Bahadir Al, Norshamsuri Ali, Syed Alwee Aljunid Syed Junid, Rosdisham Bin Endut, Nor Roshidah Yusof

“…After the computation of energies and wave functions in the framework of the effective mass and parabolic band approaches, analytical formulas for linear and nonlinear optical properties are obtained using the compact density matrix technique and the iterative method. Numerical computations for a typical GaAs/AlGaAs material are presented. …”
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A Comparative Study and Numerical Solutions for the Fractional Modified Lorenz–Stenflo System Using Two Methods by Mohamed Elbadri, Mohamed A. Abdoon, Abdulrahman B. M. Alzahrani, Rania Saadeh, Mohammed Berir

“…This paper provides a solution to the new fractional-order Lorenz–Stenflo model using the adaptive predictor–corrector approach and the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ρ</mi></semantics></math></inline-formula>-Laplace New Iterative Method (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>L</mi><mi>ρ</mi></msub><mi>N</mi><mi>I</mi><mi>M</mi></mrow></semantics></math></inline-formula>), representing an extensive comparison between both techniques with RK4 related to accuracy and error analysis. …”
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A Novel Dynamic Splitting Method for Production Based on Material Balance Theory and Catastrophe Theory in Tight Gas Reservoirs by Shengye Hao, Xinyu Qiu, Pengcheng Liu, Xiaoxia Chen

“…This method is based on two primary methods, which are the multifactor static method for production splitting of gas (GPSM) and water (WPSM) and use the catastrophe theory and material balance equation (MBE) and obtain the final results by iterative method. The advantage of this method is that more accurate results in the production process are obtained by selecting eight factors, which contain 6 static factors and 2 dynamic factors, for research. …”
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ARES: A Parallel Discrete Ordinates Transport Code for Radiation Shielding Applications and Reactor Physics Analysis by Yixue Chen, Bin Zhang, Liang Zhang, Junxiao Zheng, Ying Zheng, Cong Liu

“…Traditional source iteration and Krylov iterative method preconditioned with diffusion synthetic acceleration are applied to solve the linear system of equations. …”
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Study on the Dynamic Problems of Double-Disk Rotor System Supported by Deep Groove Ball Bearing by Yang Liu, Jiyuan Han, Siyao Zhao, Qingyu Meng, Tuo Shi, Hui Ma

“…The excitation response results of the rotor system nodes are solved by using the Newmark-β numerical solution method combined with the Newton–Raphson iterative method. The vibration characteristics of the rotor system supported by deep groove ball bearings are studied deeply. …”
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Numerical and Experimental Investigation of the Effect of Cavitation on Dual Clearance Squeeze Film Damper by Zhaojun Feng, Guihuo Luo, Hai Yang, Wangqun Deng, Wei Chen, Cheng Shen

“…Under the assumption of compressible fluid, the pressure distribution of DCSFD is finally obtained by the numerically iterative method. The film pressure distribution in the outer layer (including the positive and negative pressure zones) obtained from the experimental test agrees well with the numerical prediction, which verifies the validity of the proposed numerical model. …”
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An Effective Iterative Process Utilizing Transcendental Sine Functions for the Generation of Julia and Mandelbrot Sets by Khairul Habib Alam, Yumnam Rohen, Anita Tomar, Naeem Saleem, Maggie Aphane, Asima Razzaque

“…This study presents an innovative iterative method designed to approximate common fixed points of generalized contractive mappings. …”
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Exploring the Effect of Asperity Order on Mechanical Character of Joint Specimen from the Perspective of Damage by Zhouhao Yuan, Yicheng Ye, Binyu Luo

“…Based on the 3D scanning technology and ICP iterative method, the damaged area and the damage volume were calculated. …”
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Assessment of changes in soil contact stress depending on tractor tire parameters by Savelii Kukharets, Andrii Zabrodskyi, Bohdan Sheludchenko, Algirdas Jasinskas, Rolandas Domeika, Egidijus Šarauskis

“…To determine the stress propagation a developed simulation model was adapted to the parameters of the tractor in use. The iterative method was used for the numerical determination of the soil stress state. …”
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Enhanced Performance of New Scaling-Free CORDIC for Memory-Based Fast Fourier Transform Architecture by C. Paramasivam, Sandeep Singh Chauhan, Veerpratap Meena, A. Sreejagathi, B. A. V. N. Hasini, K. L. K. Kishore, T. V. N. G. Vamsikrishna, M. Durga Ananta Sai, Abdessamad Didi

“…Coordinate rotation digital computer (CORDIC) algorithm is an iterative method and it performs the vector rotation operation by micro-rotation with scaling operation in each iteration. …”
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Human motion capture data recovery based on non-convex low-rank priors of temporal difference(非凸时序差分低秩约束的人体运动捕获数据恢复算法) by 胡文玉(HU Wenyu), 彭绍婷(PENG Shaoting), 郭震宇(GUO Zhenyu), 黄慧英(HUANG Huiying)

“…The alternating direction method of multipliers (ADMM) is used to solve the problem, and the Newton-Raphson iterative method is used to solve the sub-problems. Comparison is made between the proposed algorithm NTDLR and three classical algorithms, i.e., TrNN, CaNN and IRNNL Lp, on CMU dataset and HDM05 dataset. …”
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Milestones in the Development of Iterative Solution Methods by Owe Axelsson

“…Iterative solution methods to solve linear systems of equations were originally formulated as basic iteration methods of defect-correction type, commonly referred to as Richardson's iteration method. …”
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