云南高校图书馆联盟文献共享服务平台- APPROXIMATION

APPROXIMATION: 作品数：1231被引量：1216H指数：13; 导出分析报告; 相关领域：理学更多>>; 相关作者：曹飞龙吴嘎日迪谢庭藩沈燮昌周颂平更多>>; 相关机构：北京大学宁夏大学西北工业大学中国计量学院更多>>; 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国家教育部博士点基金中国博士后科学基金更多>>

THE SPARSE REPRESENTATION RELATED WITH FRACTIONAL HEAT EQUATIONS: 《Acta Mathematica Scientia》2024年第2期567-582,共16页曲伟钱涛梁应德李澎涛; supported by the Science and Technology Development Fund of Macao SAR(FDCT0128/2022/A,0020/2023/RIB1,0111/2023/AFJ,005/2022/ALC);the Shandong Natural Science Foundation of China(ZR2020MA004);the National Natural Science Foundation of China(12071272);the MYRG 2018-00168-FST;Zhejiang Provincial Natural Science Foundation of China(LQ23A010014).; This study introduces a pre-orthogonal adaptive Fourier decomposition(POAFD)to obtain approximations and numerical solutions to the fractional Laplacian initial value problem and the extension problem of Caffarelli an...; 关键词：reproducing kernel Hilbert space DICTIONARY sparse representation approximation to the identity fractional heat equations

MEAN APPROXIMATION BY DILATATIONS IN BERGMAN SPACES ON THE UPPER HALF-PLANE: 《Acta Mathematica Scientia》2023年第5期2204-2214,共11页Ali ABKAR; We study sufficient conditions on radial and non-radial weight functions on the upper half-plane that guarantee norm approximation of functions in weighted Bergman,weighted Dirichlet,and weighted Besov spaces on the u...; 关键词：mean approximation DILATATION non-radial weight angular weight weighted Bergman space weighted Besov space

ON THE RIGOROUS MATHEMATICAL DERIVATION FOR THE VISCOUS PRIMITIVE EQUATIONS WITH DENSITY STRATIFICATION: 《Acta Mathematica Scientia》2023年第3期1081-1104,共24页蒲学科周文利; Pu was supported in part by the NNSF of China(11871172);the Science and Technology Projects in Guangzhou (202201020132);Zhou was supported by the Innovation Research for the Postgraduates of Guangzhou University (2021GDJC-D09)。; In this paper, we rigorously derive the governing equations describing the motion of a stable stratified fluid, from the mathematical point of view. In particular, we prove that the scaled Boussinesq equations strongl...; 关键词：Boussinesq equations primitive equations density stratification hydrostatic approximation strong convergence

THE REGULARIZED SOLUTION APPROXIMATION OF FORWARD/BACKWARD PROBLEMS FOR A FRACTIONAL PSEUDO-PARABOLIC EQUATION WITH RANDOM NOISE: 《Acta Mathematica Scientia》2023年第1期324-348,共25页狄华斐容伟杰; supported by the Natural Science Foundation of China(11801108);the Natural Science Foundation of Guangdong Province(2021A1515010314);the Science and Technology Planning Project of Guangzhou City(202201010111)。; This paper deals with the forward and backward problems for the nonlinear fractional pseudo-parabolic equation ut+(-Δ)^(s1)ut+β(-Δ)^(s2)u=F(u,x,t)subject o random Gaussian white noise for initial and final data.Und...; 关键词：regularized solution approximation forward/backward problems fractional Laplacian Gaussian white noise Fourier truncation method

ENTIRE FUNCTIONS REPRESENTED BY LAPLACE-STIELTJES TRANSFORMS CONCERNING THE APPROXIMATION AND GENERALIZED ORDER被引量：1: 《Acta Mathematica Scientia》2021年第2期646-656,共11页Hongyan XU Yinying KONG; supported by the National Natural Science Foundation of China (11561033);the Natural Science Foundation of Jiangxi Province in China (20181BAB201001);the Foundation of Education Department of Jiangxi (GJJ190876, GJJ190895,GJJ202303) of China;supported by Guangdong Natural Science Foundation(2018A030313954);Guangdong University (New Generation Information Technology) Key Field Project(2020ZDZX3019);Project of Guangdong Province Innovative Team (2020WCXTD011);Guangdong Provincial Government’s project “Promoting the construction of the Guangdong-Hong Kong-Macao Greater Bay Area and building a new open economic system”.; The first aim of this paper is to investigate the growth of the entire function defined by the Laplace-Stieltjes transform converges on the whole complex plane.By introducing the concept of generalized order,we obtain...; 关键词：Laplace-Stieltjes transform order ERROR GROWTH

THE APPROXIMATION PROPERTY OF GENERALIZED FIGà-TALAMANCA-HERZ ALGEBRAS: 《Acta Mathematica Scientia》2019年第5期1330-1338,共9页Cheng YAN; partly supported by NSFXC(2018D01C073); Let G be a discrete group with a weight w on it. For p>1, we define a class of generalized Figà-Talamanca-Herz algebras Ap(G, w,α,θ) and obtain their (w,α,θ)-Dual spaces. Moreover, we show that the generalized Fi...; 关键词：Figà-Talamanca-Herz ALGEBRA APPROXIMATION property WEIGHT

ON THE NECESSARY AND SUFFICIENT CONDITIONS TO SOLVE A HEAT EQUATION WITH GENERAL ADDITIVE GAUSSIAN NOISE被引量：2: 《Acta Mathematica Scientia》2019年第3期669-690,共22页Yaozhong HU Yanghui LIU; supported by an NSERC grant;a startup fund of University of Alberta;supported by the NSF grant DMS1613163; In this note, we consider stochastic heat equation with general additive Gaussian noise. Our aim is to derive some necessary and sufficient conditions on the Gaussian noise in order to solve the corresponding heat equ...; 关键词：Stochastic heat equation general Gaussian noise L^(2) solution sufficient and necessary condition Wong-Zakai approximation pathwise solution Holder continuity Besov space

PARTIAL REGULARITY OF STATIONARY NAVIER-STOKES SYSTEMS UNDER NATURAL GROWTH CONDITION被引量：1: 《Acta Mathematica Scientia》2019年第1期94-110,共17页Lianhua HE Zhong TAN; supported by the National Natural Science Foundation of China(11271305,11531010); In this article, we consider the partial regularity of stationary Navier-Stokes system under the natural growth condition. Applying the method of A-harmonic approximation,we obtain some results about the partial regul...; 关键词：PARTIAL REGULARITY Navier-Stoke systems natural growth condition A-harmonic APPROXIMATION

FURTHER INVESTIGATION INTO APPROXIMATION OF A COMMON SOLUTION OF FIXED POINT PROBLEMS AND SPLIT FEASIBILITY PROBLEMS被引量：1: 《Acta Mathematica Scientia》2016年第3期913-930,共18页Y.SHEHU O.T.MEWOMO F.U.OGBUISI; The purpose of this paper is to study and analyze an iterative method for finding a common element of the solution set ~ of the split feasibility problem and the set F（T） of fixed points of a right Bregman strongly ...; 关键词：strong convergence split feasibility problem uniformly convex uniformly smooth fixed point problem right Bregman strongly nonexpansive mappings

ASYMPTOTIC BEHAVIOR OF THE STOKES APPROXIMATION EQUATIONS FOR COMPRESSIBLE FLOWS IN R^3被引量：1: 《Acta Mathematica Scientia》2015年第3期746-760,共15页吴云顺谭忠; Supported by National Natural Science Foundation of China(11271305,11161011);Science and Technology Foundation of Guizhou Province of China(LKS[2012]11,LKS[2013]03,LKS[2013]05); We consider the Stokes approximation equations for compressible flows in /~3. The global unique solution and optimal convergence rates are obtained by pure energy method provided the initial perturbation around a cons...; 关键词：Stokes approximation equations energy method optimal decay rates Sobolevinterpolation negative Sobolev space

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