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SECOND-ORDER: 作品数：660被引量：1037H指数：12; 导出分析报告; 相关领域：理学更多>>; 相关作者：孙志忠郭力李霞林王成山阮文权更多>>; 相关机构：东南大学哈尔滨工业大学北京应用物理与计算数学研究所上海交通大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>

Two Second-Order Ecient Numerical Schemes for the Boussinesq Equations: 《应用数学》2025年第1期114-129,共16页LIU Fang WANG Danxia ZHANG Jianwen; Supported by Research Project Supported by Shanxi Scholarship Council of China(2021-029);International Cooperation Base and Platform Project of Shanxi Province(202104041101019);Basic Research Plan of Shanxi Province(202203021211129);Shanxi Province Natural Science Research(202203021212249);Special/Youth Foundation of Taiyuan University of Technology(2022QN101)。; In this paper,we construct two fully decoupled,second-order semi-discrete numerical schemes for the Boussinesq equations based on the scalar auxiliary variable(SAV)approach.By introducing a scalar auxiliary variable,t...; 关键词：Scalar auxiliary variable approach Pressure-correction method Fully decoupled Unconditional stability Boussinesq equations

Stochastic Differential Games of Mean-Field Dynamics and Second-Order Bellman–Isaacs Equations on the Wasserstein Space: 《Acta Mathematica Sinica,English Series》2025年第3期873-907,共35页Tao Hao Jie Xiong; supported by Natural Science Foundation of Shandong Province(Grant Nos.ZR2020MA032,ZR2022MA029);National Natural Science Foundation of China(Grant Nos.12171279,72171133);The second named author was supported by National Key R&D Program of China(Grant No.2022YFA1006102);National Natural Science Foundation of China(Grant No.11831010)。; This paper concerns two-player zero-sum stochastic differential games with nonanticipative strategies against closed-loop controls in the case where the coefficients of mean-field stochastic differential equations and...; 关键词：Stochastic differential game Wasserstein space viscosity solution dynamic programming principle mean-field stochastic differential equation Riccati equation

Quantization of Fractional Singular Lagrangian Systems with Second-Order Derivatives Using Path Integral Method: 《Journal of Applied Mathematics and Physics》2025年第2期567-574,共8页Eyad Hasan Hasan Osama Abdalla Abu-Haija; We examined the fractional second-order singular Lagrangian systems. We wrote the action principal function and equations of motion as fractional total differential equations. Also, we constructed the set of Hamilton-...; 关键词：Fractional Path Integral Fractional Singular Lagrangians Fractional Calculus

Exit options sustain altruistic punishment and decrease the second-order free-riders,but it is not a panacea: 《Science China(Information Sciences)》2025年第1期275-288,共14页Chen SHEN Zhao SONG Lei SHI Jun TANIMOTO Zhen WANG; supported by National Key R&D Program of China(Grant No.2022YFE0112300);National Science Fund for Distinguished Young Scholars(Grant No.62025602);support from JSPS Postdoctoral Fellowship Program for Foreign Researchers(Grant No.P21374);Accompanying Grant-in-aid for Scientific Research from JSPS KAKENHI(Grant No.JP 22F31374);National Natural Science Foundation of China(Grant No.11931015)to Chen SHEN as a co-investigator;National Natural Science Foundation of China(Grant Nos.U22B2036,11931015);Major Program of National Fund of Philosophy and Social Science of China(Grants Nos.22&ZD158,22VRCO49)to Lei SHI;Key Technology Research and Development Program of Science and Technology-Scientific and Technological Innovation Team of Shaanxi Province(Grant No.2020TD-013);XPLORER PRIZE.to Zhen WANG;Grant-in-aid for Scientific Research from JSPS KAKENHI(Grants Nos.JP 20H02314,JP 23K28189,JP23H03499)awarded to Jun TANIMOTO。; Why do humans punish free riders at their own expense?This behavior represents an evolutionary puzzle in human societies.This study explores the role of exit strategies in fostering altruistic punishment within evolut...; 关键词：evolutionary game theory altruistic punishment COEXISTENCE cyclic dominance bi-stable

ERROR ANALYSIS OF THE SECOND-ORDER SERENDIPITY VIRTUAL ELEMENT METHOD FOR SEMILINEAR PSEUDO-PARABOLIC EQUATIONS ON CURVED DOMAINS: 《Journal of Computational Mathematics》2024年第6期1743-1776,共34页Yang Xu Zhenguo Zhou Jingjun Zhao; supported by the National Natural Science Foundation of China(Grant No.12071100);by the Fundamental Research Funds for the Central Universities(Grant No.2022FRFK060019).; The second-order serendipity virtual element method is studied for the semilinear pseudo-parabolic equations on curved domains in this paper.Nonhomogeneous Dirichlet boundary conditions are taken into account,the exis...; 关键词：Semilinear pseudo-parabolic equation Serendipity virtual element method Projection method Curved domain

Energy Stable BDF2-SAV Scheme on Variable Grids for the Epitaxial Thin Film Growth Models: 《Wuhan University Journal of Natural Sciences》2024年第6期517-522,共6页LI Juan; The second-order backward differential formula(BDF2)and the scalar auxiliary variable(SAV)approach are applied to con‐struct the linearly energy stable numerical scheme with the variable time steps for the epitaxial ...; 关键词：epitaxial thin film growth model variable-step second-order backward differential formula(BDF2)scheme scalar auxiliary variable(SAV)approach unconditional energy stability

Eigenvalues of Second-Order Left-Definite Linear Difference Operator with Spectral Parameters in Boundary Conditions: 《Chinese Annals of Mathematics,Series B》2024年第6期905-926,共22页Chenghua GAO Jingjing WANG Xiaobin YAO Xueqin CAO; supported by the National Natural Science Foundation of China(Nos.12461039,12161071);the Doctoral Research Fund Project of Lanzhou City University(No.LZCU-BS2023-24);the Youth Fund Project of Lanzhou City University(No.LZCU-QN2023-09);Gansu Youth Science and Technology Fund Project(No.24JRRA536);the Discipline Construction Project of Lanzhou City University.; In this paper,the authors consider the spectra of second-order left-definite d-ifference operator with linear spectral parameters in two boundary conditions.First,they obtain the exact number of this kind of eigenvalu...; 关键词：Left-definite difference operator Boundary conditions with spectral pa-rameters Interlacing properties Oscillation properties

A Distributed Adaptive Second-Order Latent Factor Analysis Model: 《IEEE/CAA Journal of Automatica Sinica》2024年第11期2343-2345,共3页Jialiang Wang Weiling Li Xin Luo; supported in part by the National Natural Science Foundation of China (62102086, 62272078);the Guangdong Basic and Applied Basic Research Foundation (2022A1515140102, 2021B1515140046);the Guangdong Province Universities and College Pearl River Scholar Funded Scheme (2019)。; Dear Editor,This letter presents a distributed adaptive second-order latent factor(DAS) model for addressing the issue of high-dimensional and incomplete data representation. Compared with first-order optimizers, a se...; 关键词：REPRESENTATION INCOMPLETE APPROACHING

Fully-Decoupled and Second-Order Time-Accurate Scheme for the Cahn–Hilliard Ohta–Kawaski Phase-Field Model of Diblock Copolymer Melt Confined in Hele–Shaw Cell: 《Communications in Mathematics and Statistics》2024年第3期479-504,共26页Junying Cao Jun Zhang Xiaofeng Yang; supported by National Natural Science Foundation of China(Grant Nos.11901135,11961009);Foundation of Guizhou Science and Technology Department,China(Grant No.[2020]1Y015);supported by the National Natural Science Foundation of China(Nos.11901132 and 62062018);Science and Technology Program of Guizhou Province(Nos.ZK[2022]006 and ZK[2022]031);Natural Science Research Projects of Education Department of Guizhou Province(No.KY[2021]015);Guizhou Key Laboratory of Big Data Statistics Analysis(No.BDSA20200102);supported by USA National Science Foundation with Grant Number DMS-2012490.; In this work,we consider numerical approximations of the phase-field model of diblock copolymer melt confined in Hele–Shaw cell,which is a very complicated coupled nonlinear system consisting of the Darcy equations a...; 关键词：PHASE-FIELD Explicit-IEQ DARCY Decoupled Energy Stability Diblock copolymer melt

On the superconvergence of a WG method for the elliptic problem with variable coefficients: 《Science China Mathematics》2024年第8期1899-1910,共12页Junping Wang Xiaoshen Wang Xiu Ye Shangyou Zhang Peng Zhu; supported by U.S.National Science Foundation IR/D program while working at U.S.National Science Foundation;supported by U.S.National Science Foundation(Grant No.DMS-1620016);supported by Zhejiang Provincial Natural Science Foundation of China(Grant No.LY23A010005);National Natural Science Foundation of China(Grant No.12071184)。; This article extends a recently developed superconvergence result for weak Galerkin(WG)approximations for modeling partial differential equations from constant coefficients to variable coefficients.This superconvergen...; 关键词：weak Galerkin finite element methods SUPERCONVERGENCE second-order elliptic problems stabilizerfree

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