Analysis and Parameter Optimum of a New 4-DOF 4PPaRR Parallel Mechanism by Huiping Li, Feng Ou

“…The inverse kinematics of the mechanism is analyzed, and the workspace of the 4PPaRR parallel mechanism is solved by numerical method. Then a performance index is defined in order to analyze the rotational capacity of 4PPaRR parallel mechanism, The scale optimization of parallel mechanism size is carried out based on Grasshopper Optimization Algorithm（GOA）in the end. …”
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Convergence Analysis Hilbert Space Approach for Fuzzy Integro-Differential Models by Jingwen Zhang

“…In this paper, we present and demonstrate an innovative numerical method, which makes use of fuzzy numbers and fuzzy parameters that is effective in the solution of fuzzy type Volterra integro-differential equations, which was previously thought to be impossible using conventional methods. …”
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Influence of Segmented Linings on the Micro-Pressure Wave of Tunnels by Tao Li, Mingyu Shao, Weibin Ma, Yanbin Liang, Yufei Fang

“…In this study, a three-dimensional numerical method is performed to study the aerodynamic effects caused by the train passing through a tunnel with segmented linings at 350 km/h. …”
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Fixation Probabilities on Complete Star and Bipartite Digraphs by Chunming Zhang, Yingjiang Wu, Wanping Liu, Xiaofan Yang

“…By applying these probability formulae, some asymptotic properties on CBDs are analyzed, and certain CSDs are determined to be amplifiers of selection for arbitrary relative fitness larger than 1, while all the CSDs are proved to be amplifiers of selection for fixed relative fitness slightly larger than 1. A numerical method for fixed population structure (by solving a linear system) is developed to calculate the fixation probabilities on complete bipartite digraphs (CBDs), and some conjectures are finally given through simulations.…”
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Bow Flare Water Entry Impact Prediction and Simulation Based on Moving Particle Semi-Implicit Turbulence Method by Fenglei Han, Jingzheng Yao, Chunhui Wang, Haitao Zhu

“…Prandtl’s mixing length method and the k-epsilon method are introduced into the Moving Particle Semi-Implicit (MPS) method for the purpose of modeling turbulence effects associated with water entries of two-dimensional (2D) bow flare section. The presented numerical method is validated by comparing its numerical prediction with experimental data and other numerical results obtained from the Boundary Element Method (BEM). …”
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Analysis of Nonlinear Dynamic Characteristic of Elliptic Gear with Friction by Fang Wen, Haizhao Dang, Ganwei Cai, Xingbo Liang

“…Different parameters are selected and solved by 4~5-step Runge-Kutta numerical method to analyze the nonlinear dynamic characteristics of elliptic gear pair. …”
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Unsteady free convection of a stagnation point of attachment on an isothermal surface by D. B. Ingham, J. H. Merkin, I. Pop

“…A small time solution and an accurate numerical method is described for determining the solution of the time-dependent boundary-layer equations. …”
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Holographic Schwinger Effect in a Confining D3-Brane Background with Chemical Potential by Zi-qiang Zhang, De-fu Hou, Yan Wu, Gang Chen

“…The critical field Ec in this case is calculated. Also, we apply numerical method to evaluate the production rate for various cases. …”
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An extrapolation method for polarisability assessments of ion-based optical clocks by M D Barrett, K J Arnold

“…We present a numerical method for extrapolating polarisability measurements to dc as sometimes done in the assessment of blackbody radiation shifts for ion-based optical clocks. …”
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Solving Hyperchaotic Systems Using the Spectral Relaxation Method by S. S. Motsa, P. G. Dlamini, M. Khumalo

“…A new multistage numerical method based on blending a Gauss-Siedel relaxation method and Chebyshev pseudospectral method, for solving complex dynamical systems exhibiting hyperchaotic behavior, is presented. …”
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CONTACT STRESS ANALYSIS AND OPTIMIZATION OF DOUBLE SHOCK SLEEVE MOVABLE TOOTH by SHEN HaiTao, AN ZiJun

“…The contact surface pressure and subsurface stress field distribution of movable teeth are solved by numerical method. The results show that the contact stress will appear singularity and stress concentration,which seriously affect the transmission performance of the transmission mechanism. …”
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SIMULATION AND ANALYSIS OF TIPOVER STABILITY OF WHEELED MOBILE MULTI-ROBOT COORDINATED TOWING SYSTEM by ZHANG ShaoHui, ZHAO ZhiGang, DING WangCai, SU Cheng

“…The Lagrangian method and the NewtonEuler method are used to establish the two parts of the dynamic model. The numerical method is used to solve the inverse kinematics of the system,and then to analyze the stability of the system based on the force-angle stability measure. …”
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Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets by Mingxu Yi, Kangwen Sun, Jun Huang, Lifeng Wang

“…A numerical method based on the CAS wavelets is presented for the fractional integrodifferential equations of Bratu type. …”
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Numerical Built-In Method for the Nonlinear JRC/JCS Model in Rock Joint by Qunyi Liu, Wanli Xing, Ying Li

“…Thereafter, the numerical implement method and implementation process of the JRC/JCS model were discussed and the reliability of the numerical method was verified by the shear tests of jointed rock mass. …”
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Iterative algorithm for locating nodes in WSN based on modifying average hopping distances by LIN Jin-zhao1, CHEN Xiao-bing1, LIU Hai-bo1

“…Finally, the iterative numerical method with the initial values of estimated node locations was presented by setting proper threshold. …”
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Free Transverse Vibration of Orthotropic Thin Trapezoidal Plate of Parabolically Varying Thickness Subjected to Linear Temperature Distribution by Arun Kumar Gupta, Shanu Sharma

“…The present paper deals with the free transverse vibration of orthotropic thin trapezoidal plate of parabolically varying thickness in x-direction subjected to linear temperature distribution in x-direction through a numerical method. The deflection function is defined by the product of the equations of the prescribed continuous piecewise boundary shape. …”
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Pathfinding for Mobile Robot Navigation by Exerting the Quarter-Sweep Modified Accelerated Overrelaxation (QSMAOR) Iterative Approach via the Laplacian Operator by A’qilah A. Dahalan, Azali Saudi, Jumat Sulaiman

“…Within this study, improving the navigation problem of a mobile robot iteratively by using a numerical method based on the potential field method is one of the main aims. …”
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A Novel Differential Evolution Invasive Weed Optimization Algorithm for Solving Nonlinear Equations Systems by Yongquan Zhou, Qifang Luo, Huan Chen

“…In view of the traditional numerical method to solve the nonlinear equations exist is sensitive to initial value and the higher accuracy of defects. …”
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Optimal trajectories in $L^1$ and under $L^1$ penalizations by Dumas, Annette, Santambrogio, Filippo

“…We then use modern algorithms in non-smooth convex optimization in order to obtain a numerical method to simulate such solutions.…”
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A new error estimate of a finite difference scheme for a fractional transport-advection equation with zero order term by Allaoua Mehri, Hakima Bouhadjera, Mohammed S. Abdo, Najla Alghamdi, Sahar Ahmed Idris

“…Results of conditional stability and convergence of the numerical method are discussed. Finally a numerical implementation was presented to show the conformity between the theoretical and numerical approach of the finite difference scheme.…”
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