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High-order finite volume methods for solving compressible multicomponent flows: 《Science China Mathematics》2025年第3期729-760,共32页Feng Zheng Jianxian Qiu; supported by National Natural Science Foundation of China (Grant No. 12101128);supported by Natural Science Foundation of Fujian Province (Grant No. 2023J02003);National Natural Science Foundation of China (Grant No. 12071392)。; In this paper, we propose a high-order finite volume method for solving multicomponent fluid problems. Our method couples the quasi-conservative form with the reconstruction of conservative variables in a characterist...; 关键词：finite volume HIGH-ORDER multicomponent flows

Riemann-Hilbert Problem and Multiple High-order Poles Solutions of the Focusing mKdV Equation with Nonzero Boundary Conditions: 《Acta Mathematicae Applicatae Sinica》2025年第1期234-251,共18页Zi-yi WANG Shou-fu TIAN Jin-jie YANG; supported by the National Natural Science Foundation of China(Nos.12371255 and 11975306);the Natural Science Foundation of Jiangsu Province(No.BK20181351);the Six Talent Peaks Project in Jiangsu Province(No.JY-059);the 333 Project in Jiangsu Province;the Fundamental Research Fund for the Central Universities(Nos.2019ZDPY07);the Graduate Innovation Program of China University of Mining and Technology(No.2022WLJCRCZL139).; The focusing modified Korteweg-de Vries(mKdV)equation with multiple high-order poles under the nonzero boundary conditions is first investigated via developing a Riemann-Hilbert(RH)approach.We begin with the asymptoti...; 关键词：Riemann-Hilbert approach focusing mKdV equation nonzero boundary conditions multiple high-order poles soliton solutions

Iterated rational quadratic kernel-High-order unscented Kalman filtering algorithm for spacecraft tracking: 《Defence Technology(防务技术)》2025年第3期238-250,共13页Xinru Liang Changsheng Gao Wuxing Jing Ruoming An; supported by the National Natural Science Foundation of China under Grant No.12072090.; The high-speed development of space defense technology demands a high state estimation capacity for spacecraft tracking methods.However,reentry flight is accompanied by complex flight environments,which brings to the ...; 关键词：Kernel method Rational quadratic(RQ)kernel High-order sigma points SPACECRAFT Reentry vehicles

Distributed Nash Equilibrium Seeking with Disturbances of Unknown Frequencies for High-Order Integrators over Jointly Strongly Connected Switching Networks: 《Journal of Systems Science & Complexity》2025年第1期369-389,共21页HE Xiongnan HUANG Jie; supported in part by the Research Grants Council of the Hong Kong Special Administration Region under Grant No.14201420;in part by the National Natural Science Foundation of China under GrantNo.61973260.; In this paper,the authors study the problem of distributed Nash equilibrium seeking of N-player games with high-order integrator dynamics subject to disturbances generated by an uncertain exosystem.Similar problems ha...; 关键词：Adaptive control disturbance rejection high-order integrator dynamics internal model jointly strongly connected switching graphs Nash equilibrium seeking

Two-Step Asymmetric Perfectly Matched Layer Model for High-Order Spatial FDTD Solver of 2D Maxwell’s Equations: 《Journal of Applied Mathematics and Physics》2025年第2期553-566,共14页Abdelrahman Mahdy; We implemented a two-step Asymmetric Perfectly Matched Layer (APML) model in High-Order Finite Difference Time Domain (FDTD) algorithm for solving two-dimensional Maxwell’s equations. Initially, we applied the APML m...; 关键词：Perfectly Matched Layer The Finite-Difference-Time-Domain Terahertz Radiation Production Filamentation of Femtosecond Laser Maxwell’s Equations Solver

Time-varying spillovers in high-order moments among cryptocurrencies: 《Financial Innovation》2024年第1期2070-2108,共39页Asil Azimli; This study uses high-frequency(1-min)price data to examine the connectedness among the leading cryptocurrencies(i.e.Bitcoin,Ethereum,Binance,Cardano,Litecoin,and Ripple)at volatility and high-order(third and fourth or...; 关键词：SPILLOVERS High-order moments SKEWNESS KURTOSIS Cryptocurrencies

Mean-square prescribed finite-time output consensus of high-order linear multi-agent systems: 《Science China(Information Sciences)》2024年第12期321-322,共2页Qingpeng LIANG Deqing HUANG Lei MA Jiangping HU Yanzhi WU; supported in part by the National Natural Science Foundation of China (Grant Nos.62103341,62473322);the Natural Science Foundation of Sichuan Province (Grant No.2024NSFSC0512)。; This study addresses a mean-square prescribed finite-time output consensus problem of high-order linear multi-agent systems with communication noises and thus further generalizes the results in [1–4]. The main contri...; 关键词：function PRESCRIBED FINITE

New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties: 《Communications on Applied Mathematics and Computation》2024年第3期2011-2044,共34页Alina Chertock Michael Herty Arsen S.Iskhakov Safa Janajra Alexander Kurganov Maria Lukacova-Medvid'ova; supported in part by the NSF grant DMS-2208438.The work of M.Herty was supported in part by the DFG(German Research Foundation)through 20021702/GRK2326,333849990/IRTG-2379,HE5386/18-1,19-2,22-1,23-1;under Germany’s Excellence Strategy EXC-2023 Internet of Production 390621612;The work of A.Kurganov was supported in part by the NSFC grant 12171226;the fund of the Guangdong Provincial Key Laboratory of Computational Science and Material Design,China(No.2019B030301001).; In this paper,we develop new high-order numerical methods for hyperbolic systems of nonlinear partial differential equations(PDEs)with uncertainties.The new approach is realized in the semi-discrete finite-volume fram...; 关键词：Hyperbolic conservation and balance laws with uncertainties Finite-volume methods Central-upwind schemes Weighted essentially non-oscillatory(WENO)interpolations

Solitary,periodic,kink wave solutions of a perturbed high-order nonlinear Schrödinger equation via bifurcation theory: 《Propulsion and Power Research》2024年第3期433-444,共12页Qiancheng Ouyang Zaiyun Zhang Qiong Wang Wenjing Ling Pengcheng Zou Xinping Li; supported by Hunan Provincial Natural Science Foundation of China Grant No.2021JJ30297;Scientific Research Fund of Hunan Provincial Education Department No.22A0478 and No.22C0365;Hunan Province Graduate Research Innovation,China Project No.CX20231208;Research and Innovation team of Hunan Institute of Science and Technology (Grant No.2019-TD-15).; In this paper,by using the bifurcation theory for dynamical system,we construct traveling wave solutions of a high-order nonlinear Schrödinger equation with a quintic nonlin-earity.Firstly,based on wave variables,the ...; 关键词：Traveling wave solution High-order nonlinear Schrödinger equation Bifurcation theory Dynamical system Hamiltonian system

High-Order Solitons and Hybrid Behavior of (3 + 1)-Dimensional Potential Yu-Toda-Sasa-Fukuyama Equation with Variable Coefficients: 《Journal of Applied Mathematics and Physics》2024年第8期2738-2763,共26页Xiyu Tan Xingying Li; In this paper, some exact solutions of the (3 + 1)-dimensional variable-coefficient Yu-Toda-Sasa-Fukuyama equation are investigated. By using Hirota’s direct method and symbolic computation, we obtained N-soliton sol...; 关键词：Variable-Coefficient YTSF Equation Hirota Bilinear Method N-SOLITON Hybrid Solution

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