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 ...
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...
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...
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...
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...
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...
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...
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...
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 ...
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...