云南高校图书馆联盟文献共享服务平台- CONVERGENCE

CONVERGENCE_ANALYSIS: 作品数：265被引量：457H指数：11; 导出分析报告; 相关作者：刘国庆丁建东王克彦杜宁王奇生更多>>; 相关机构：浙江大学南京工业大学北京师范大学浙江工商大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划中国博士后科学基金更多>>

A MIXED FINITE ELEMENT AND UPWIND MIXED FINITE ELEMENT MULTI-STEP METHOD FOR THE THREE-DIMENSIONAL POSITIVE SEMI-DEFINITE DARCY-FORCHHEIMER MISCIBLE DISPLACEMENT PROBLEM: 《Acta Mathematica Scientia》2025年第2期715-736,共22页Yirang YUAN Changfeng LI Huailing SONG Tongjun SUN; supported by the Natural Science Foundation of Shandong Province(ZR2021MA019);the National Natural Science Foundation of China(11871312)。; In this paper,a composite numerical scheme is proposed to solve the threedimensional Darcy-Forchheimer miscible displacement problem with positive semi-definite assumptions.A mixed finite element is used for the fow e...; 关键词：Darcy-Forchheimer fow three-dimensional positive semi-definite problem upwind mixed finite element multi-step method conservation of mass convergence analysis

A SPECTRAL METHOD FOR A WEAKLY SINGULAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION WITH PANTOGRAPH DELAY: 《Acta Mathematica Scientia》2022年第1期387-402,共16页Weishan ZHENG Yanping CHEN; supported by the State Key Program of National Natural Science Foundation of China(11931003);the National Natural Science Foundation of China(41974133,11671157)。; In this paper,a Jacobi-collocation spectral method is developed for a Volterraintegro-differential equation with delay,which contains a weakly singular kernel.We use a function transformation and a variable transforma...; 关键词：Volterra integro-differential equation pantograph delay weakly singular kernel Jacobi-collocation spectral methods error analysis convergence analysis

A BLOCK-CENTERED UPWIND APPROXIMATION OF THE SEMICONDUCTOR DEVICE PROBLEM ON A DYNAMICALLY CHANGING MESH: 《Acta Mathematica Scientia》2020年第5期1405-1428,共24页Yirang YUAN Changfeng LI Huailing SONG; supported the Natural Science Foundation of Shandong Province(ZR2016AM08);Natural Science Foundation of Hunan Province(2018JJ2028);National Natural Science Foundation of China(11871312).; The numerical simulation of a three-dimensional semiconductor device is a fundamental problem in information science. The mathematical model is defined by an initialboundary nonlinear system of four partial differenti...; 关键词：three-dimensional semiconductor device of heat conduction block-centered upwind difference on a changing mesh local conservation of mass convergence analysis numerical computation

A STOCHASTIC GALERKIN METHOD FOR MAXWELL EQUATIONS WITH UNCERTAINTY: 《Acta Mathematica Scientia》2020年第4期1091-1104,共14页Lizheng CHENG Bo WANG Ziqing XIE; Supported by NSFC (91430107/11771138/11171104);the Construct Program of the Key Discipline in Hunan;partially supported by Scientific Research Fund of Hunan Provincial Education Department (19B325/19C1059);Hunan International Economics University (2017A05);supported by NSFC (11771137);the Construct Program of the Key Discipline in Hunan Province;a Scientific Research Fund of Hunan Provincial Education Department (16B154)。; In this article,we investigate a stochastic Galerkin method for the Maxwell equations with random inputs.The generalized Polynomial Chaos(gPC)expansion technique is used to obtain a deterministic system of the gPC exp...; 关键词：Maxwell equations random inputs stochastic Galerkin method gPC expansion convergence analysis

CONVERGENCE ANALYSIS OF MIXED VOLUME ELEMENT-CHARACTERISTIC MIXED VOLUME ELEMENT FOR THREE-DIMENSIONAL CHEMICAL OIL-RECOVERY SEEPAGE COUPLED PROBLEM: 《Acta Mathematica Scientia》2018年第2期519-545,共27页袁益让程爱杰羊丹平李长峰杨青; Supported by the National Natural Science Foundation of China(11101124 and 11271231);Natural Science Foundation of Shandong Province(ZR2016AM08);National Tackling Key Problems Program(2011ZX05052,2011ZX05011-004); The physical model is described by a seepage coupled system for simulating numerically three-dimensional chemical oil recovery, whose mathematical description includes three equations to interpret main concepts. The p...; 关键词：Chemical oil recovery mixed volume element-characteristic mixed volume element characteristic fractional step differences local conservation of mass second-order error estimate in l2-norm

CONVERGENCE ANALYSIS OF A MONOTONE PROJECTION ALGORITHM IN REFLEXIVE BANACH SPACES: 《Acta Mathematica Scientia》2017年第2期488-502,共15页秦小龙 Sun Young CHO; supported by the National Natural Science Foundation of China under Grant No.11401152 and No.61603227; In this article, fixed points of generalized asymptotically quasi-Ф-nonexpansive mappings and equilibrium problems are investigated based on a monotone projection algo- rithm. Strong convergence theorems are establis...; 关键词：Asymptotically quasi-Ф-nonexpansive mapping Banach space equilibrium problem fixed point Generalized projection

CONVERGENCE ANALYSIS OF THE LOPING OS-EM ITERATIVE VERSION OF THE CIRCULAR RADON TRANSFORM被引量：2: 《Acta Mathematica Scientia》2014年第6期1875-1884,共10页郭娟王金平; supported by the National Natural Science Foundation of China(61271398);K.C.Wong Magna Fund in Ningbo University;Natural Science Foundation of Ningbo City(2010A610102); The loping OS-EM iteration is a numerically efficient regularization method for solving ill-posed problems. In this article we investigate the loping OS-EM iterative method in connection with the circular Radon transf...; 关键词：ill-posed equations regularization loping OS-EM iteration circular Radon transform

CONVERGENCE ANALYSIS FOR SYSTEM OF EQUILIBRIUM PROBLEMS AND LEFT BREGMAN STRONGLY RELATIVELY NONEXPANSIVE MAPPING: 《Acta Mathematica Scientia》2014年第4期1081-1097,共17页Yekini SHEHU; In this paper, we prove strong convergence theorems for approximation of a fixed point of a left Bregman strongly relatively nonexpansive mapping which is also a solution to a finite system of equilibrium problems in ...; 关键词：left Bregman strongly relatively nonexpansive mapping left Bregman projection equilibrium problem Banach spaces

CONVERGENCE ANALYSIS OF THE JACOBI SPECTRAL-COLLOCATION METHOD FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS被引量：9: 《Acta Mathematica Scientia》2014年第3期673-690,共18页杨银陈艳萍黄云清; supported by NSFC Project(11301446,11271145);China Postdoctoral Science Foundation Grant(2013M531789);Specialized Research Fund for the Doctoral Program of Higher Education(2011440711009);Program for Changjiang Scholars and Innovative Research Team in University(IRT1179);Project of Scientific Research Fund of Hunan Provincial Science and Technology Department(2013RS4057);the Research Foundation of Hunan Provincial Education Department(13B116); We propose and analyze a spectral Jacobi-collocation approximation for fractional order integro-differential equations of Volterra type. The fractional derivative is described in the Caputo sense. We provide a rigorou...; 关键词：Spectral Jacobi-collocation method fractional order integro-differential equations Caputo derivative

STABILITY AND SUPER CONVERGENCE ANALYSIS OF ADI-FDTD FOR THE 2D MAXWELL EQUATIONS IN A LOSSY MEDIUM被引量：2: 《Acta Mathematica Scientia》2012年第6期2341-2368,共28页高理平; supported by Shandong Provincial Natural Science Foundation(Y2008A19);the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry; Several new energy identities of the two dimenslonal（2D） Maxwell equations in a lossy medium in the case of the perfectly electric conducting boundary conditions are proposed and proved. These identities show a new ...; 关键词：STABILITY CONVERGENCE energy conservation ADI-FDTD Maxwell equations

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