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EXPANSIONS: 作品数：84被引量：59H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：张书华樊东升张楠唐璐刘晓鲁更多>>; 相关机构：浙江海伦塑胶有限公司质量检验中心天津财经学院北京振利高新技术有限公司更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金广东省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更多>>

Orthogonal polynomial expansions for the valuation ofoptions under the stochastic volatility models with stochastic correlation: 《Journal of Management Science and Engineering》2024年第2期239-253,共15页Kevin Z.Tong; This work provides a new method for pricing options under the generalized stochastic volatility models with Jacobi stochastic correlation.Our method is based on the observation that the generalized models belong to th...; 关键词：Orthogonal polynomial expansions Polynomial diffusions Stochastic correlation Jacobi process Stochastic volatility

Higher-order expansions of powered extremes of logarithmic general error distribution: 《Applied Mathematics(A Journal of Chinese Universities)》2024年第1期47-54,共8页TAN Xiao-feng LI Li-hui; In this paper,Let M_(n)denote the maximum of logarithmic general error distribution with parameter v≥1.Higher-order expansions for distributions of powered extremes M_(n)^(p)are derived under an optimal choice of nor...; 关键词：logarithmic general error distribution convergence rate higher-order expansion powered ex-treme

Construction of Non-Equilibrium Gas Distribution Functions through Expansions in Peculiar Velocity Space: 《Advances in Applied Mathematics and Mechanics》2023年第6期1456-1472,共17页Z.Y.Yuan Z.Chen C.Shu Y.Y.Liu Z.L.Zhang; supported by MOE Tier 1 project at National University of Singapore(No.A-0005235-01-00).; Gas distribution function plays a crucial role in the description of gas flows at the mesoscopic scale.In the presence of non-equilibrium flow,the distribution function loses its rotational symmetricity,making the mat...; 关键词：Non-equilibrium gas distribution function peculiar velocity space complete poly-nomial expansion

On the steady Prandtl boundary layer expansions: 《Science China Mathematics》2023年第9期1993-2020,共28页Chen Gao Liqun Zhang; supported by National Natural Science Foundation of China (Grant Nos. 11471320 and 11631008)。; In this paper,we consider the zero-viscosity limit of the 2D steady Navier-Stokes equations in(0,L)×R+with no-slip boundary conditions.By estimating the stream-function of the remainder,we justify the validity of the...; 关键词：Navier-Stokes equations Prandtl boundary layer zero-viscosity limit stream-function estimates of theremainder

Duality between Bessel Functions and Chebyshev Polynomials in Expansions of Functions: 《Advances in Pure Mathematics》2023年第8期504-536,共16页Alfred Wünsche; In expansions of arbitrary functions in Bessel functions or Spherical Bessel functions, a dual partner set of polynomials play a role. For the Bessel functions, these are the Chebyshev polynomials of first kind and fo...; 关键词：Spherical Bessel Functions Chebyshev Polynomials Legendre Polynomials Hermite Polynomials Derivatives of Delta Functions Normally and Anti-Normally Ordered Operators

Exponential Convergence Theory of the Multipole and Local Expansions for the 3-D Laplace Equation in Layered Media: 《Annals of Applied Mathematics》2023年第2期99-148,共50页Wenzhong Zhang Bo Wang Wei Cai; supported by the US National Science Foundation (Grant No.DMS-1950471);the US Army Research Office (Grant No.W911NF-17-1-0368);partially supported by NSFC (grant Nos.12201603 and 12022104)。; In this paper,we establish the exponential convergence theory for the multipole and local expansions,shifting and translation operators for the Green's function of 3-dimensional Laplace equation in layered media.An im...; 关键词：Fast multipole method layered media multipole expansions local expansions 3-D Laplace equation Cagniard–de Hoop transform equivalent polarization sources

Coexisting lattice contractions and expansions with decreasing thicknesses of Cu(100)nano-films: 《Chinese Physics B》2023年第3期408-413,共6页安思敏高兴誉张弦陈欣咸家伟刘瑜孙博刘海风宋海峰; the fellowship of China Postdoctoral Science Foundation(Grant No.2021T140073);the National Natural Science Foundation of China(Grant No.5210011290);the Science Challenge Project of China(Grant No.TZ2018002);the National Key Research and Development Program of China(Grant No.2016YFB0201204).; Lattice parameters are a basic quantity in material characterization,and a slight alteration in lattice parameters directly affects the properties of materials.However,there are still considerable controversies as to ...; 关键词：NANOSTRUCTURE lattice variations surface free energy simulation

On the L^(∞) stability of Prandtl expansions in the Gevrey class: 《Science China Mathematics》2022年第12期2521-2562,共42页Qi Chen Di Wu Zhifei Zhang; In this paper, we prove the L^(∞)∩ L^(2) stability of Prandtl expansions of the shear flow type as(U(y/ν1/2), 0)for the initial perturbation in the Gevrey class, where U(y) is a monotone and concave function and ν...; 关键词：Navier-Stokes equations shear flow Prandtl expansion

Dynamics of Vapor Bubble in a Variable Pressure Field被引量：2: 《Journal of Marine Science and Application》2022年第3期83-98,共16页Kirill V.Rozhdestvensky; Supported by the Ministry of Science and Higher Education of the Russian Federation as part of the World-class Research Center Program:Advanced Digital Technologies(contract No.075-15-2020-903 dated 16.11.2020).; This paper presents analytical and numerical results of vapor bubble dynamics and acoustics in a variable pressure field.First,a classical model problem of bubble collapse due to sudden pressure increase is introduced...; 关键词：Thin foil theory Matched expansions method Rayleigh-Plesset equation Bubble cavitation Vapor bubble dynamics Bubble collapse Cavitation noise spectra

Univoque graphs for non-integer base expansions: 《Science China Mathematics》2021年第12期2667-2702,共36页Yuru Zou Jiachang Li Jian Lu Vilmos Komornik; supported by National Natural Science Foundation of China(Grant Nos.11871348 and 61972265);Natural Science Foundation of Guangdong Province of China(Grant No.2020B1515310008);Project of Educational Commission of Guangdong Province of China(Grant No.2019KZDZX1007);Shenzhen Key Laboratory of Advanced Machine Learning and Applications.; Unique expansions in non-integer bases have been investigated in many papers during the last thirty years.They are often conveniently generated by labeled directed graphs.We give a precise description of the set of se...; 关键词：expansions in non-integer bases univoque graph topological dynamics

EXPANSIONS