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UNIFORM ERROR BOUNDS OF AN ENERGY-PRESERVING EXPONENTIAL WAVE INTEGRATOR FOURIER PSEUDO-SPECTRAL METHOD FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH WAVE OPERATOR AND WEAK NONLINEARITY: 《Journal of Computational Mathematics》2025年第2期280-314,共35页Jiyong Li; supported in part by the Natural Science Foundation of Hebei Province(Grant No.A2021205036).; Abstract Recently,the numerical methods for long-time dynamics of PDEs with weak nonlinearity have received more and more attention.For the nonlinear Schrödinger equation(NLS)with wave operator(NLSW)and weak nonlinear...; 关键词：Nonlinear Schrodinger equation with wave operator and weak nonlinearity Fourier pseudo-spectral method Exponential wave integrator Energy-preserving method Error estimates Oscillatory problem

High Energy Normalized Solutions for the Schrodinger Equations with Exponential Critical Growth: 《Chinese Quarterly Journal of Mathematics》2025年第1期1-19,共19页ZHANG Xiao-cang XULi-ping; Supported by National Natural Science Foundation of China(Grant Nos.11671403 and 11671236);Henan Provincial General Natural Science Foundation Project(Grant No.232300420113)。; In this paper,we study high energy normalized solutions for the following Schr?dinger equation{-Δu+V(x)u+λu=f(u),in R^(2),∫_(R^(2))|u|^(2)dx=c,where c>0,λ∈R will appear as a Lagrange multiplier,V(x)=ω|x|2 repres...; 关键词：High energy normalized solutions Schrodinger equation Trapping potential Exponential critical growth Variational method

Deviation bounds for the norm of a random vector under exponential moment conditions with applications: 《Probability, Uncertainty and Quantitative Risk》2025年第1期135-158,共24页Vladimir Spokoiny; Financial support by the German Research Foundation(DFG)through the Collaborative Research Center 1294"Data assimnilation"is gratefully acknowledged.; Hanson-Wright inequality provides a powerful tool for bounding the norm ||ζ|| of a centered stochastic vector ζ with independent entries and sub-gaussian behavior.This paper extends the bounds to the case when ζ on...; 关键词：Upper quantiles Phase transition Vector Bernoulli sums Frobenius loss

Spherical quantum dot described by a scalar exponential potential under the influence of a linear electric field: 《Communications in Theoretical Physics》2025年第2期170-173,共4页K Bakke; CNPq for financial support。; We study the confinement of a spinless charged particle to a spherical quantum dot under the influence of a linear electric field.The spherical quantum dot is described by a short-range potential given by the power-ex...; 关键词：spherical quantum dot power-exponential potential short-range potential linear electric field

Research on the application of the parameter freezing precise exponential integrator in vehicle-road coupling vibration: 《Applied Mathematics and Mechanics(English Edition)》2025年第2期373-390,共18页Yu ZHANG Chao ZHANG Shaohua LI Shaopu YANG; Supported by the National Natural Science Foundation of China(No.U22A20246);the Key Project of Natural Science Foundation of Hebei Province of China(Basic Research Base Project)(No.A2023210064);the Science and Technology Program of Hebei Province of China(Nos.246Z1904G and 225676162GH)。; The vehicle-road coupling dynamics problem is a prominent issue in transportation,drawing significant attention in recent years.These dynamic equations are characterized by high-dimensionality,coupling,and time-varyin...; 关键词：vehicle-road coupled dynamics dynamic response parameter freezing precise exponential integrator Newmark-βintegration

Foundations of Holographic Quantum Computation: 《Journal of Applied Mathematics and Physics》2025年第1期11-60,共50页Logan Nye; We present a comprehensive mathematical framework establishing the foundations of holographic quantum computing, a novel paradigm that leverages holographic phenomena to achieve superior error correction and algorithm...; 关键词：Holographic Quantum Computing Error Correction Universal Quantum Gates Exponential Speedups Fault Tolerance

Selection Rules for Exponential Population Threshold Parameters: 《Applied Mathematics》2025年第1期1-14,共14页Gary C. McDonald Jezerca Hodaj; This article constructs statistical selection procedures for exponential populations that may differ in only the threshold parameters. The scale parameters of the populations are assumed common and known. The independ...; 关键词：Weibull Distribution Probability of Correct Selection Minimum StatisticSelection Procedure Means Selection Procedure Subset Size IndifferenceZone Selection Rule Least Favorable Configuration

Decentralizing e-bus charging infrastructure deployment leads to economic and environmental benefits: 《Communications in Transportation Research》2024年第1期235-237,共3页Guanpeng Dong Frank Witlox Yiming Bie; National Natural Science Foundation of China(Grant Nos.52220105001 and 52131203).; 1.Introduction China's e-bus fleet has surged from 94,900 in 2015 to approximately 473,900 in 2023,representing more than 90%of the global total.Such exponential growth yields manifold benefits:reduced operational cos...; 关键词：CHARGING MANIFOLD EXPONENTIAL

Belief exponential divergence for D-S evidence theory and its application in multi-source information fusion: 《Journal of Systems Engineering and Electronics》2024年第6期1454-1468,共15页DUAN Xiaobo FAN Qiucen BI Wenhao ZHANG An; supported by the National Natural Science Foundation of China(61903305,62073267);the Fundamental Research Funds for the Central Universities(HXGJXM202214).; Dempster-Shafer evidence theory is broadly employed in the research of multi-source information fusion.Nevertheless,when fusing highly conflicting evidence it may pro-duce counterintuitive outcomes.To address this iss...; 关键词：Dempster-Shafer(D-S)evidence theory multi-source information fusion conflict measurement belief expo-nential divergence(BED) target recognition

Some Inequalities Involving the Exponential Transform: 《Advances in Pure Mathematics》2024年第12期859-872,共14页Alex Kyriakis Marios Kyriakis; The exponential transform or modified Fourier transform is an integral transform where the Kernel function is Ka(ξ,t)=a−iξt, and a∈] 1,+∞ [. This is a general case of the Fourier transform where the Kernel functio...; 关键词：Modified Fourier Transform INEQUALITIES Riemann Zeta Function Euler-Mascheroni Constant

EXPONENTIAL