ITERATION_METHOD

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The Generalized Fixed Point Iteration Method for AVE
《Journal of Mathematical Research with Applications》2024年第6期837-849,共13页Changfeng MA Jing KANG 
Supported by the National Natural Science Foundation of China(Grant No.12371378);the Natural Science Foundation of Fujian Province(Grant No.2024J01980)。
In this paper,based on the previous published work by Ke et al.(2019)and Li et al.(2022),by using the matrix splitting technique,generalized fixed point iteration method(GFPI)is established to solve the absolute value...
关键词：absolute value equations fixed point iteration CONVERGENCE 
A Two-Step Modulus-Based Matrix Splitting Iteration Method Without Auxiliary Variables for Solving Vertical Linear Complementarity Problems
《Communications on Applied Mathematics and Computation》2024年第4期2475-2492,共18页Hua Zheng Xiaoping Lu Seakweng Vong 
supported by the Scientific Computing Research Innovation Team of Guangdong Province(no.2021KCXTD052);the Science and Technology Development Fund,Macao SAR(no.0096/2022/A,0151/2022/A);University of Macao(no.MYRG2020-00035-FST,MYRG2022-00076-FST);the Guangdong Key Construction Discipline Research Capacity Enhancement Project(no.2022ZDJS049);Technology Planning Project of Shaoguan(no.210716094530390);the ScienceFoundation of Shaoguan University(no.SZ2020KJ01).
In this paper,a two-step iteration method is established which can be viewed as a generalization of the existing modulus-based methods for vertical linear complementarity problems given by He and Vong(Appl.Math.Lett.1...
关键词：Vertical linear complementarity problem Modulus-based matrix splitting Two-step method 
Stochastic Chebyshev-Picard Iteration Method for Nonlinear Differential Equations with Random Inputs
《Communications in Mathematical Research》2024年第3期275-312,共38页Lingling Ma Yicheng Liu 
supported by the National Natural Science Foundation of China (Grant No.12101217);by the China Postdoctoral Science Foundation (Grant No.2022M713875);by the Natural Science Foundation of Hunan Province (Grant No.2022J40113).
This work presents a stochastic Chebyshev-Picard iteration method to efficiently solve nonlinear differential equations with random inputs.If the nonlinear problem involves uncertainty,we need to characterize the unce...
关键词：Nonlinear ordinary differential equation Chebyshev-Picard iteration me-thod variable-separation method random inputs 
Existence and numerical approximation of a solution to frictional contact problem for electro-elastic materials
《Applied Mathematics(A Journal of Chinese Universities)》2024年第2期201-219,共19页Othman Baiz EL-Hassan Benkhira Rachid Fakhar 
In this paper,a frictional contact problem between an electro-elastic body and an electrically conductive foundation is studied.The contact is modeled by normal compliance with finite penetration and a version of Coul...
关键词：piezoelectric material frictional contact variational Inequality fixed point process finite element method error estimation iteration method 
Another SSOR Iteration Method
《American Journal of Computational Mathematics》2024年第2期248-256,共9页Thomas Smotzer John Buoni 
Kellogg gave a version of the Peaceman-Radford method. In this paper, we introduce a SSOR iteration method which uses Kellogg’s method. The new algorithm has some advantages over the traditional SSOR algorithm. A Cyc...
关键词：Matrix Splitting SSOR Iteration KSSOR Iteration Method Kellogg-Type SSOR Iteration Cyclic Reduction 
Fast and accurate adaptive collocation iteration method for orbit dynamic problems被引量：2
《Chinese Journal of Aeronautics》2023年第9期231-242,共12页Honghua DAI Zhe ZHANG Xuechuan WANG Haoyang FENG Changtao WANG Xiaokui YUE 
This study was co-supported by the National Key Research and Development Program of China(No.2021YFA0717100);the National Natural Science Foundation of China(Nos.12072270,U2013206).
For over half a century,numerical integration methods based on finite difference,such as the Runge-Kutta method and the Euler method,have been popular and widely used for solving orbit dynamic problems.In general,a sm...
关键词：Collocation iteration method Numerical integration method Orbit dynamics Parameter adjustment method Polishing method 
Life-Span of Classical Solutions to a Semilinear Wave Equation with Time-Deppendent Damping
《Journal of Partial Differential Equations》2023年第3期235-261,共27页GUO Fei LIANG Jinling XIAO Changwang 
supported by the NSF of China(11731007);the Priority Academic Program Development of Jiangsu Higher Education Institutions,and the NSF of Jiangsu Province(BK20181381,BK20221320).
This paper is concerned with the Cauchy problem for a semilinear wave equation with a time-dependent damping.In case that the space dimension n=1 and the nonlinear power is bigger than 2,the life-span T(ε)and global ...
关键词：Semilinear wave equation time-dependent damping life-span global iteration method. 
A policy iteration method for improving robot assembly trajectory efficiency被引量：1
《Chinese Journal of Aeronautics》2023年第3期436-448,共13页Qi ZHANG Zongwu XIE Baoshi CAO Yang LIU 
supported by the National Natural Science Foundation of China(No.91848202);the Special Foundation(Pre-Station)of China Postdoctoral Science(No.2021TQ0089)。
Bolt assembly by robots is a vital and difficult task for replacing astronauts in extravehicular activities(EVA),but the trajectory efficiency still needs to be improved during the wrench insertion into hex hole of bo...
关键词：Bolt assembly Policy initialization Policy iteration Reinforcement learning(RL) Robotic assembly Trajectory efficiency 
Accelerating the HS-type Richardson Iteration Method with Anderson Mixing
《Acta Mathematica Sinica,English Series》2022年第11期2069-2089,共21页Zhi Zhi LI Huai ZHANG Le OU-YANG 
Supported by National Science Foundation of China(Grant Nos.41725017 and 42004085);Guangdong Basic and Applied Basic Research Foundation(Grant No.2019A1515110184);the National Key R&D Program of the Ministry of Science and Technology of China(Grant Nos.2020YFA0713400 and 2020YFA0713401)。
The Accelerated Hermitian/skew-Hermitian type Richardson(AHSR)iteration methods are presented for solving non-Hermitian positive definite linear systems with three schemes,by using Anderson mixing.The upper bounds of ...
关键词：Anderson mixing Hermitian/skew-Hermitian splitting the Richardson iteration convergence analyses optimal parameters the model convection-diffusion equation 
Modified integral equation combined with the decomposition method for time fractional differential equations with variable coefficients
《Applied Mathematics(A Journal of Chinese Universities)》2022年第3期404-414,共11页Muhammad Amin Sadiq Murad 
In this paper,the modified integral equation,namely,Elzaki transformation coupled with the Adomian decomposition method called Elzaki Adomian decomposition method(EADM)is used to investigate the solution of time-fract...
关键词：Elzaki transformation Adomian decomposition method time-fractional fourth-order parabolic Variation iteration method Laplace homotopy perturbation 
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