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SINGULARLY_PERTURBED: 作品数：204被引量：398H指数：11; 导出分析报告; 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>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划上海市自然科学基金福建省自然科学基金更多>>

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

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

ASYMPTOTIC SOLUTION OF SINGULARLY PERTURBED HYBRID DYNAMICAL SYSTEMS被引量：2: 《Acta Mathematica Scientia》2016年第5期1457-1466,共10页武利猛张娟倪明康陆海波; supported by the National Natural Science Foundation of China(11471118,11401385 and 11371140);Natural Science Foundation of Hebei Province(A2015407063);Doctoral Foundation of Hebei Normal University of Science and Technology(2013YB008); In this paper, we consider a class of optimal control problem for the singularly perturbed hybrid dynamical systems. By means of variational method, we obtain the necessary conditions of the hybrid dynamical systems. ...; 关键词：optimal control hybrid dynamical system singular perturbation

THE INTERIOR LAYER PHENOMENA FOR A CLASS OF SINGULARLY PERTURBED DELAY-DIFFERENTIAL EQUATIONS: 《Acta Mathematica Scientia》2013年第2期532-542,共11页汪娜倪明康; supported by the National Science Foundation of China(11071075);Introducing Talents Program of SIT (YJ2013-33); In this article, we study a kind of vector singularly perturbed delay-amerenum equation. Using boundary layer function method and geometric analysis skill, the asymptotic expression of the system is constructed and th...; 关键词：VECTOR singular perturbation DELAY interior layer

SINGULARLY PERTURBED SEMI-LINEAR BOUNDARY VALUE PROBLEM WITH DISCONTINUOUS FUNCTION被引量：2: 《Acta Mathematica Scientia》2012年第2期793-799,共7页丁海云倪明康林武忠曹扬; Supported by National Natural Science Foundation of China(11071075, 11171113);National Natural Science Foundation of China-subsidized by CAS Knowledge Innovation Project (30921064,90820307);Shang Natural Science Foundation(10ZR1409200);Division of Computational Science,E-institute of Shanghai Jiaotong University(E03004); A class of singularly perturbed semi-linear boundary value problems with discontinuous functions is examined in this article. Using the boundary layer function method, the asymptotic solution of such a problem is give...; 关键词：Singular perturbation asymptotic expansion boundary layer function in-variant manifold

THE INTERIOR LAYER FOR A NONLINEAR SINGULARLY PERTURBED DIFFERENTIAL-DIFFERENCE EQUATION被引量：2: 《Acta Mathematica Scientia》2012年第2期695-709,共15页王爱峰倪明康; Supported by the National Natural Science Funds (11071075);the Natural Science Foundation of Shanghai(10ZR1409200);the National Laboratory of Biomacromolecules,Institute of Biophysics,Chinese Academy of Sciences;the E-Institutes of Shanghai Municipal Education Commissions(E03004); In this article, the interior layer for a second order nonlinear singularly perturbed differential-difference equation is considered. Using the methods of boundary function and fractional steps, we construct the formu...; 关键词：Differential-difference equation interior layer asymptotic expansion bound-ary function

THE SOLVABILITY FOR A CLASS OF SINGULARLY PERTURBED QUASI-LINEAR DIFFERENTIAL SYSTEM被引量：7: 《Acta Mathematica Scientia》2008年第3期495-500,共6页莫嘉琪王辉林万涛; the NNSF of China(40676016 and 10471039);the National Key Project for Basic Research(2003CB415101-03 and 2004CB418304);the Key Project of the Chinese Academy of Sciences(KZCX3-SW-221);part by E-Institutes of Shanghai Municipal Education Commission(E03004); The solvability for a class of singularly perturbed Robin problem of quasilinear differential system is considered. Using the boundary layer corrective method the formal asymptotic solution is constructed. And using t...; 关键词：SOLVABILITY singular perturbation differential system boundary layer

THE SINGULARLY PERTURBED NONLOCAL REACTION DIFFUSION SYSTEM被引量：11: 《Acta Mathematica Scientia》2002年第4期549-556,共8页莫嘉琪韩祥临陈松林; The project is supported by The National Natural Science Foundation of China(10071048);"Hundred People Project" of Chinese Academy of Sciences; In this paper the singularly perturbed initial boundary value problems for the nonlocal reaction diffusion system are considered. Unsing the iteration method and the comparison theorem, the existence, uniqueness and i...; 关键词：reaction diffusion system singular perturbation initial boundary value problem

A KIND OF NONLOCAL PROBLEMS FOR SINGULARLY PERTURBED REACTION DIFFUSION SYSTEMS被引量：1: 《Acta Mathematica Scientia》1999年第3期337-342,共6页陈育森莫嘉琪; The problems of the nonlocal boundary conditions for the singularly perturbed reaction diffusion systems are considered. Under suitable conditions, using the comparison theorem the asymptotic behavior of solution for ...; 关键词：reaction diffusion singular perturbations comparison theorem nonlocal problems

BOUNDARY AND INTERIOR LAYER PHENOMENA OF SINGULARLY PERTURBED NONLINEAR ELLIPTIC PROBLEMS: 《Acta Mathematica Scientia》1999年第S1期589-597,共9页张祥; This paper investigates the boundary value problems for a class of singularly perturbed nonlinear elliptic equations. By means of the theory of partial differential in- equalities the author obtains the existence and ...; 关键词：Elliptic equation boundary value problem differential inequality singular perturbation

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