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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 
Second-Order Topological Insulators in 2D Electronic Materials
《物理学进展》2025年第1期1-31,共31页FENG Xiao-ran NIU Cheng-wang HUANG Bai-biao DAI Ying 
supported by the National Natu-ral Science Foundation of China(Grants No.12174220 and No.12074217);the Shandong Provincial Science Foundation for Excellent Young Scholars(Grant No.ZR2023YQ001);the Taishan Young Scholar Program of Shandong Province;the Qilu Young Scholar Pro-gram of Shandong University.
Higher-order band topology not only enriches our understanding of topological phases but also unveils pioneering lower-dimensional boundary states,which harbors substantial potential for next-generation device applica...
关键词：second order topological insulator corner state 2D electronic material 
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 
Space-and frequency-division multiplexing in photonic second-order topological insulators
《Photonics Research》2024年第10期2323-2333,共11页GUANGXU SU RENWEN HUANG SHIYIN JIA JIANGLE HE ZHIXIN SONG JUNZHENG HU MINGHUI LU FANXIN LIU PENG ZHAN 
National Key Research and Development Program of China(2021YFA1401103,2022YFA1404302);National Natural Science Foundation of China(11834007,11974015,12174189,12304431);Natural Science Foundation of Zhejiang Province(LQ24A040015,LZ22A040008)。
Higher-order topological insulators,originally proposed in quantum condensed matters,have provided a new avenue for localizing and transmitting light in photonic devices.Nontrivial band topology in crystals with certa...
关键词：properties TOPOLOGICAL INSULATOR 
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