SINGULARLY_PERTURBED

作品数：205被引量：398H指数：11
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相关作者：莫嘉琪陈松林王庚鲁世平袁永军更多>>
相关机构：安徽师范大学华东冶金学院安徽机电职业技术学院华东师范大学更多>>
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Observer-based stabilization for discrete nonlinear semi-Markov jump singularly perturbed models with mode-switching delay
《Science China(Information Sciences)》2025年第4期385-386,共2页Wenhai QI Runkun LI Ju H.PARK Zheng-Guang WU Huaicheng YAN 
supported by National Natural Science Foundation of China(Grant No.62473226)Young Taishan Scholar Project of Shandong Province of China(Grant No.tsqn202408169);supported by National Research Foundation of Korea(NRF)Grant funded by the Korean Government(MSIT)(Grant No.2019R1A5A8080290)。
Semi-Markov jump systems(S-MJMs)not only characterize hybrid systems but also address the limitations of Markov jump systems(MJMs)[1–3].Due to their ability to exhibit multi-time-scale features,singularly perturbed m...
关键词：nonlinear plant discrete nonlinear systems hybrid systems model practical systems observer based stabilization perturbed models spms effectively markov jump systems mjms due singularly perturbed para 
Chien-physics-informed neural networks for solving singularly perturbed boundary-layer problems
《Applied Mathematics and Mechanics(English Edition)》2024年第9期1467-1480,共14页Long WANG Lei ZHANG Guowei HE 
Project supported by the National Natural Science Foundation of China Basic Science Center Program for“Multiscale Problems in Nonlinear Mechanics”(No.11988102);the National Natural Science Foundation of China(No.12202451)。
A physics-informed neural network(PINN)is a powerful tool for solving differential equations in solid and fluid mechanics.However,it suffers from singularly perturbed boundary-layer problems in which there exist sharp...
关键词：physics-informed neural network(PINN) singular perturbation boundarylayer problem composite asymptotic expansion 
THE SUPERCLOSENESS OF THE FINITE ELEMENT METHOD FOR A SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEM ON A BAKHVALOV-TYPE MESH IN 2D
《Acta Mathematica Scientia》2024年第4期1572-1593,共22页Chunxiao ZHANG Jin ZHANG 
supported by National Natural Science Foundation of China(11771257);the Shandong Provincial Natural Science Foundation of China(ZR2023YQ002,ZR2023MA007,ZR2021MA004)。
For singularly perturbed convection-diffusion problems,supercloseness analysis of the finite element method is still open on Bakhvalov-type meshes,especially in the case of 2D.The difficulties arise from the width of ...
关键词：singularly perturbed CONVECTION-DIFFUSION finite element method SUPERCLOSENESS Bakhvalov-type mesh 
Analytic Regularity for a Singularly Perturbed Reaction-Convection-Diffusion Boundary Value Problem with Two Small Parameters
《Communications in Mathematical Research》2024年第2期125-153,共29页Irene Sykopetritou Christos Xenophontos 
We consider a second order,two-point,singularly perturbed boundary value problem,of reaction-convection-diffusion type with two small parameters,and we obtain analytic regularity results for its solution,under the ass...
关键词：Singularly perturbed problem reaction-convection-diffusion boundary layers analytic regularity. 
Wavelet Multi-Resolution Interpolation Galerkin Method for Linear Singularly Perturbed Boundary Value Problems
《Computer Modeling in Engineering & Sciences》2024年第4期297-318,共22页Jiaqun Wang Guanxu Pan Youhe Zhou Xiaojing Liu 
supported by the National Natural Science Foundation of China (No.12172154);the 111 Project (No.B14044);the Natural Science Foundation of Gansu Province (No.23JRRA1035);the Natural Science Foundation of Anhui University of Finance and Economics (No.ACKYC20043).
In this study,a wavelet multi-resolution interpolation Galerkin method(WMIGM)is proposed to solve linear singularly perturbed boundary value problems.Unlike conventional wavelet schemes,the proposed algorithm can be r...
关键词：Wavelet multi-resolution interpolation Galerkin singularly perturbed boundary value problems mesh-free method Shishkin node boundary layer 
A MODIFIED WEAK GALERKIN FINITE ELEMENTMETHOD FOR SINGULARLY PERTURBED PARABOLIC CONVECTION-DIFFUSION-REACTION PROBLEMS
《Journal of Computational Mathematics》2023年第6期1246-1280,共35页Suayip Toprakseven Fuzheng Gao 
supported in part by National Natural Science Foundation of China (No.11871038).
In this work,a modified weak Galerkin finite element method is proposed for solving second order linear parabolic singularly perturbed convection-diffusion equations.The key feature of the proposed method is to replac...
关键词：The modified weak Galerkin finite element method Backward Euler method Parabolic convection-diffusion problems Error estimates 
THE UNIFORM CONVERGENCE OF A DG METHOD FOR A SINGULARLY PERTURBED VOLTERRA INTEGRO-DIFFERENTIAL EQUATION
《Acta Mathematica Scientia》2023年第5期2159-2178,共20页陶霞 谢资清 
supported by the National Natural Science Foundation of China(12001189);supported by the National Natural Science Foundation of China(11171104,12171148)。
The purpose of this work is to implement a discontinuous Galerkin(DG)method with a one-sided flux for a singularly perturbed Volterra integro-differential equation(VIDE)with a smooth kernel.First,the regularity proper...
关键词：singularly perturbed VIDE DG method Shishkin mesh uniform convergence 
A Dimension-Splitting Variational Multiscale Element-Free Galerkin Method for Three-Dimensional Singularly Perturbed Convection-Diffusion Problems被引量：1
《Computer Modeling in Engineering & Sciences》2023年第4期341-356,共16页Jufeng Wang Yong Wu Ying Xu Fengxin Sun 
supported by the Natural Science Foundation of Zhejiang Province,China(Grant Nos.LY20A010021,LY19A010002,LY20G030025);the Natural Science Founda-tion of Ningbo City,China(Grant Nos.2021J147,2021J235).
By introducing the dimensional splitting(DS)method into the multiscale interpolating element-free Galerkin(VMIEFG)method,a dimension-splitting multiscale interpolating element-free Galerkin(DS-VMIEFG)method is propose...
关键词：Dimension-splitting multiscale interpolating element-free Galerkin(DS-VMIEFG)method interpolating variational multiscale element-free Galerkin(VMIEFG)method dimension splitting method singularly perturbed convection-diffusion problems 
Observer-based l_(2)-l_(∞) control for singularly perturbed semi-Markov jump systems with an improved weighted TOD protocol被引量：3
《Science China(Information Sciences)》2022年第9期301-302,共2页Hao SHEN Mengping XING Huaicheng YAN Jinde CAO 
supported by National Natural Science Foundation of China(Grant Nos.61873002,62173001,61833005,61503002)。
Dear editor,In practical scenarios,many engineering systems possess switching features.When the factors incurring the switch phenomenon occur with a certain probability,semi-Markov chains can be adopted to describe th...
关键词：problems SEMI PERTURBED 
NUMERICAL ANALYSIS OF A NONLINEAR SINGULARLY PERTURBED DELAY VOLTERRA INTEGRO-DIFFERENTIAL EQUATION ON AN ADAPTIVE GRID被引量：1
《Journal of Computational Mathematics》2022年第2期258-274,共17页Libin Liu Yanping Chen Ying Liang 
This work is supported by the State Key Program of National Natural Science Foundation of China(11931003);National Science Foundation of China(41974133,11761015,11971410);the Natural Science Foundation of Guangxi(2020GXNSFAA159010).
In this paper,we study a nonlinear first-order singularly perturbed Volterra integro-differential equation with delay.This equation is discretized by the backward Euler for differential part and the composite numerica...
关键词：Delay Volterra integro-differential equation Singularly perturbed Error analysis Monitor function 
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