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相关机构:湖南工学院中南大学更多>>
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Three-parameter approximations of sums of locally dependent random variables via Stein's method
《Science China Mathematics》2025年第3期677-706,共30页Zhonggen Su Xiaolin Wang 
supported by National Natural Science Foundation of China(Grant Nos.12271475 and U23A2064)。
Let{Xi,i∈J}be a family of locally dependent non-negative integer-valued random variables with finite expectations and variances.We consider the sum W=∑_(i∈J)X_(i)and apply Stein's method to establish general upper ...
关键词:Eros-Rényi random graph local dependence monochromatic edge Stein's method three-parameter distribution 
Projective Hilbert modules and sequential approximations
《Science China Mathematics》2025年第1期137-168,共32页Lawrence G.Brown Huaxin Lin 
supported by the National Science Foundation of the US(Grant No.DMS-1954600);partially funded by the Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice,Science and Technology Commission of Shanghai Municipality(Grant Nos.13dz2260400 and 22DZ2229014)。
We show that when A is a separable C^(*)-algebra,every countably generated Hilbert A-module is projective(with bounded module maps as morphisms).We also study the approximate extensions of bounded module maps.In the c...
关键词:projective Hilbert modules simple C^(*)-algebras sequential approximations 
Low Rank Tensor Decompositions and Approximations
《Journal of the Operations Research Society of China》2024年第4期847-873,共27页Jiawang Nie Li Wang Zequn Zheng 
supported by the NSF grant DMS-2110780.Li Wang is partially supported by the NSF grant DMS-2009689.
There exist linear relations among tensor entries of low rank tensors.These linear relations can be expressed by multi-linear polynomials,which are called generating polynomials.We use generating polynomials to comput...
关键词:TENSOR DECOMPOSITION RANK APPROXIMATION Generating polynomial 
WONG-ZAKAI APPROXIMATIONS FOR STOCHASTIC VOLTERRA EQUATIONS
《Journal of Computational Mathematics》2024年第6期1526-1553,共28页Jie Xu Mingbo Zhang 
support provided by the Key Scientific Research Project Plans of Henan Province Advanced Universities(No.24A110006);the NSFs of China(Grant Nos.11971154,12361030);by the Science and Technology Foundation of Jiangxi Education Department(Grant No.GJJ190265)。
In this paper,we shall prove a Wong-Zakai approximation for stochastic Volterra equations under appropriate assumptions.We may apply it to a class of stochastic differential equations with the kernel of fractional Bro...
关键词:Stochastic Volterra equations Wong-Zakai approximations Fractional Brownian motion Subfractional Brownian motion Quadratic mean convergence 
Hyperbolic Conservation Laws,Integral Balance Laws and Regularity of Fluxes
《Communications on Applied Mathematics and Computation》2024年第4期2048-2063,共16页Matania Ben-Artzi Jiequan Li 
supported by the NSFC(Nos.11771054,12072042,91852207);the Sino-German Research Group Project(No.GZ1465);the National Key Project GJXM92579.
Hyperbolic conservation laws arise in the context of continuum physics,and are mathematically presented in differential form and understood in the distributional(weak)sense.The formal application of the Gauss-Green th...
关键词:Balance laws Hyperbolic conservation laws Finite volume approximations Flux regularity CONSISTENCY 
Trigonometric tension B-spline collocation approximations for time fractional Burgers’equation
《Journal of Ocean Engineering and Science》2024年第5期508-516,共9页Brajesh Kumar Singh Mukesh Gupta 
This manuscript’s aim is to form and examine the numerical simulation of Caputo-time fractional nonlinear Burgers’equation via collocation approach with trigonometric tension B-splines as base functions.First,L 1 di...
关键词:Fractional Burgers’equation Trigonometric tension B-spline Collocation scheme Gauss elimination method 
On the analytical soliton approximations to fractional forced Korteweg-de Vries equation arising in fluids and plasmas using two novel techniques
《Communications in Theoretical Physics》2024年第8期1-10,共10页Weaam Alhejaili Emad A Az-Zo’bi Rasool Shah S A El-Tantawy 
Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2024R229), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia。
The current investigation examines the fractional forced Korteweg-de Vries(FF-KdV) equation,a critically significant evolution equation in various nonlinear branches of science. The equation in question and other asso...
关键词:forced fractional KdV equation Caputo operator Yang homotopy perturbation method Yang transform decomposition method SOLITONS 
Galerkin-Bernstein Approximations for the System of Third-Order Nonlinear Boundary Value Problems
《Journal of Applied Mathematics and Physics》2024年第6期2083-2101,共19页Snigdha Dhar Md. Shafiqul Islam 
This paper is devoted to find the numerical solutions of one dimensional general nonlinear system of third-order boundary value problems (BVPs) for the pair of functions using Galerkin weighted residual method. We der...
关键词:System of Third-Order BVP Galerkin Method Bernstein Polynomials Nonlinear BVP Higher-Order BVP 
Approximations to Isentropic Planar Magneto-Hydrodynamics Equations by Relaxed Euler-Type Systems
《Chinese Annals of Mathematics,Series B》2024年第3期413-440,共28页Yachun LI Zhaoyang SHANG Chenmu WANG Liang ZHAO 
supported by the National Natural Science Foundation of China(Nos.12161141004,12371221,11831011,12301277);the Fundamental Research Funds for the Central Universities and Shanghai Frontiers Science Center of Modern Analysis and the Postdoctoral Science Foundation of China(No.2021M692089).
In this paper, the authors consider an approximation to the isentropic planar Magneto-hydrodynamics(MHD for short) equations by a kind of relaxed Euler-type system. The approximation is based on the generalization of ...
关键词:Planar MHD equations Relaxation limits Global convergence Stream function 
GGA + U Study of the Optical Properties of α-BeH2
《Open Journal of Applied Sciences》2024年第6期1507-1511,共5页Uko Ofe 
The optical properties of α-BeH2 in an Orthorhombic crystal structure with the space group (Ibam) are investigated. We have calculated the optical properties including dielelectric function, refractive index and exti...
关键词:Dielectric Function Optical Properties GGA and GGA + U Approximations 
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