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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>>

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

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

AN hp-FEM FOR SINGULARLY PERTURBED TRANSMISSION PROBLEMS: 《Journal of Computational Mathematics》2017年第2期152-168,共17页Serge Nicaise Christos Xenophontos; We perform the analysis of the hp finite element approximation for the solution to singularly perturbed transmission problems, using Spectral Boundary Layer Meshes. In [12] it was shown that this method yields robust ...; 关键词：Singularly perturbed transmission problem Boundary layers Interface layers hp-FEM Balanced norm Exponential convergence.

UNIFORM QUADRATIC CONVERGENCE OF A MONOTONE WEIGHTED AVERAGE METHOD FOR SEMILINEAR SINGULARLY PERTURBED PARABOLIC PROBLEMS＊: 《Journal of Computational Mathematics》2013年第6期620-637,共18页Igor Bogluev; This paper deals with a monotone weighted average iterative method for solving semilinear singularly perturbed parabolic problems. Monotone sequences, based on the ac- celerated monotone iterative method, are construc...; 关键词：Semilinear parabolic problem Singular perturbation Weighted average scheme Monotone iterative method Uniform convergence.

FINITE VOLUME SUPERCONVERGENCE APPROXIMATION FOR ONE-DIMESIONAL SINGULARLY PERTURBED PROBLEMS被引量：1: 《Journal of Computational Mathematics》2013年第5期488-508,共21页Waixiang Cao Zhimin Zhang Qingsong Zou; We analyze finite volume schemes of arbitrary order r for the one-dimensional singu- larly perturbed convection-diffusion problem on the Shishkin mesh. We show that the error under the energy norm decays as （N-11n（N...; 关键词：Finite Volume High Order SUPERCONVERGENCE Convection-Diffsuion.

A PARAMETER-UNIFORM TAILORED FINITE POINT METHOD FOR SINGULARLY PERTURBED LINEAR ODE SYSTEMS＊: 《Journal of Computational Mathematics》2013年第4期422-438,共17页Houde Han J.J.H. Miller Min Tang; Acknowledgments. H. Han was supported by the NSFC Project No. 10971116. M. Tang is supported by Natural Science Foundation of Shanghai under Grant No. 12ZR1445400.; In scientific applications from plasma to chemical kinetics, a wide range of temporal scales can present in a system of differential equations. A major difficulty is encountered due to the stiffness of the system and ...; 关键词：Tailored finite point method Parameter uniform Singular perturbation ODEsystem.

RATIONAL SPECTRAL COLLOCATION METHOD FOR A COUPLED SYSTEM OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS被引量：4: 《Journal of Computational Mathematics》2011年第4期458-473,共16页Suqin Chen Yingwei Wang Xionghua Wu; Acknowledgments. The support from the National Natural Science Foundation of China under Grants No.10671146 and No.50678122 is acknowledged. The authors are grateful to the referee and the editor for helpful comments and suggestions.; A, novel collocation method for a coupled system of singularly perturbed linear equations is presented. This method is based on rational spectral collocation method in barycentric form with sinh transform. By sinh tra...; 关键词：Singular perturbation Coupled system Rational spectral collocation method Boundary layer REACTION-DIFFUSION Convection-diffusion.

VARIABLE MESH FINITE DIFFERENCE METHOD FOR SELF-ADJOINT SINGULARLY PERTURBED TWO-POINT BOUNDARY VALUE PROBLEMS: 《Journal of Computational Mathematics》2010年第5期711-724,共14页Mohan K.Kadalbajoo Devendra Kumar; A numerical method based on finite difference method with variable mesh is given for self-adjoint singularly perturbed two-point boundary value problems. To obtain parameter- uniform convergence, a variable mesh is co...; 关键词：Singularly perturbed boundary value problems Finite difference method Boundary layer Parameter uniform-convergence Variable mesh.

UNIFORM SUPERCONVERGENCE OF GALERKIN METHODS FOR SINGULARLY PERTURBED PROBLEMS: 《Journal of Computational Mathematics》2010年第2期273-288,共16页Ying Chen Min Huang; In this paper, we are concerned with uniform superconvergence of Galerkin methods for singularly perturbed reaction-diffusion problems by using two Shishkin-type meshes. Based on an estimate of the error between splin...; 关键词：singularly perturbed Hermite splines Shishkin-type meshes Interpolation post-processing Uniform superconvergence.

A MONOTONE DOMAIN DECOMPOSITION ALGORITHM FOR SOLVING WEIGHTED AVERAGE APPROXIMATIONS TO NONLINEAR SINGULARLY PERTURBED PARABOLIC PROBLEMS: 《Journal of Computational Mathematics》2008年第1期76-97,共22页Igor Boglaev Matthew Hardy; This paper presents and analyzes a monotone domain decomposition algorithm for solving nonlinear singularly perturbed reaction-diffusion problems of parabolic type. To solve the nonlinear weighted average finite diffe...; 关键词：Parabolic reaction-diffusion problem Boundary layers O-method Monotone domain decomposition algorithm Uniform convergence

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