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QUADRATIC: 作品数：643被引量：699H指数：11; 导出分析报告; 相关领域：理学更多>>; 相关作者：叶惟寅王哲陈雷邢作霞孙宏利更多>>; 相关机构：南京航空航天大学西北工业大学南京农业大学武汉大学更多>>; 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国家教育部博士点基金国家高技术研究发展计划更多>>

WONG-ZAKAI APPROXIMATIONS FOR STOCHASTIC VOLTERRA EQUATIONS: 《Journal of Computational Mathematics》2024年第6期1526-1553,共28页Jie Xu Mingbo Zhang; support provided by the Key Scientific Research Project Plans of Henan Province Advanced Universities(No.24A110006);the NSFs of China(Grant Nos.11971154,12361030);by the Science and Technology Foundation of Jiangxi Education Department(Grant No.GJJ190265)。; In this paper,we shall prove a Wong-Zakai approximation for stochastic Volterra equations under appropriate assumptions.We may apply it to a class of stochastic differential equations with the kernel of fractional Bro...; 关键词：Stochastic Volterra equations Wong-Zakai approximations Fractional Brownian motion Subfractional Brownian motion Quadratic mean convergence

ARBITRARILY HIGH-ORDER ENERGY-CONSERVING METHODS FOR HAMILTONIAN PROBLEMS WITH QUADRATIC HOLONOMIC CONSTRAINTS: 《Journal of Computational Mathematics》2024年第4期1145-1171,共27页Pierluigi Amodio Luigi Brugnano Gianluca Frasca-Caccia Felice Iavernaro; In this paper,we define arbitrarily high-order energy-conserving methods for Hamilto-nian systems with quadratic holonomic constraints.The derivation of the methods is made within the so-called line integral framework...; 关键词：Constrained Hamiltonian systems Quadratic holonomic constraints Energy-conserving methods Line integral methods Hamiltonian Boundary Value Methods HB-VMs

A NEW GLOBAL OPTIMIZATION ALGORITHM FOR MIXED-INTEGER QUADRATICALLY CONSTRAINED QUADRATIC FRACTIONAL PROGRAMMING PROBLEM: 《Journal of Computational Mathematics》2024年第3期784-813,共30页Bo Zhang Yuelin Gao Xia Liu Xiaoli Huang; supported by the National Natural Science Foundation of China(Grant 11961001);the construction project of first-class subjects in Ningxia Higher Education(Grant NXYLXK2017B09);by the major proprietary funded project of North Minzu University(Grant ZDZX201901).; The mixed-integer quadratically constrained quadratic fractional programming(MIQCQFP)problem often appears in various fields such as engineering practice,management science and network communication.However,most of th...; 关键词：Global optimization Branch and bound Quadratic fractional programming Mixed integer programming

ENERGY AND QUADRATIC INVARIANTS PRESERVING METHODS FOR HAMILTONIAN SYSTEMS WITH HOLONOMIC CONSTRAINTS被引量：1: 《Journal of Computational Mathematics》2023年第1期107-132,共26页Lei Li Dongling Wang; sponsored by NSFC 11901389,Shanghai Sailing Program 19YF1421300 and NSFC 11971314;The work of D.Wang was partially sponsored by NSFC 11871057,11931013.; We introduce a new class of parametrized structure–preserving partitioned RungeKutta(α-PRK)methods for Hamiltonian systems with holonomic constraints.The methods are symplectic for any fixed scalar parameterα,and a...; 关键词：Hamiltonian systems Holonomic constraints SYMPLECTICITY Quadratic invariants Partitioned Runge-Kutt methods

A CONFORMING QUADRATIC POLYGONAL ELEMENT AND ITS APPLICATION TO STOKES EQUATIONS: 《Journal of Computational Mathematics》2022年第4期624-648,共25页Xinjiang Chen Yanqiu Wang; supported by the NSFC grant 11671210 and 12171244.; In this paper,we construct an H1-conforming quadratic finite element on convex polygonal meshes using the generalized barycentric coordinates.The element has optimal approximation rates.Using this quadratic element,tw...; 关键词：Quadratic finite element method Stokes equations Generalized barycentric coordinates

THE QUADRATIC SPECHT TRIANGLE被引量：2: 《Journal of Computational Mathematics》2020年第1期103-124,共22页Hongliang Li Pingbing Ming Zhongci Shi; The work of Li was supported by Science Challenge Project,No.TZ2016003;The work of Ming was partially supported by the National Natural Science Foundation of China for Distinguished Young Scholars 11425106;National Natural Science Foundation of China grants 91630313;by the support of CAS NCMIS;The work of Shi was partially supported by the National Natural Science Foundation of China grant 11371359.; We propose a class of 12 degrees of freedom triangular plate bending elements with quadratic rate of convergence.They may be viewed as the second order Specht triangle,while the Specht triangle is one of the best firs...; 关键词：Specht triangle Plate bending element Basis functions

OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION被引量：1: 《Journal of Computational Mathematics》2018年第5期693-717,共25页Fei Wang Shuo Zhang; The first author is partially supported by the U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research as part of the Collaboratory on Mathematics for Mesoscopic Modeling of Materials under Award Number DE-SC-0009249, and the Key Program of National Natural Science Foundation of China with Grant No. 91430215. The second author is supported by State Key Laboratory of Scientific and Engineering Computing （LSEC）, National Center for Mathematics and Interdisciplinary Sciences of Chinese Academy of Sciences （NCMIS）, and National Natural Science Foundation of China with Grant No. 11471026; he is thankful to the Center for Computational Mathematics and Applications, the Pennsylvania State University, where he worked on this manuscript as a visiting scholar. The authors are grateful to Professor Jinchao Xu, Dr. Yuanming Xiao and Dr. Maximilian Metti for their valuable suggestions and discussions, to Professor Haijun Wu for his valuable help on preparing the numerical example, and to the anonymous referee for the valuable comments and suggestion which lead to improvements of the paper.; In this paper, we study Nitsche extended finite element method （XFEM） for the inter- face problem of a two dimensional diffusion equation. Specifically, we study the quadratic XFEM scheme on some shape-regular famil...; 关键词：Interface problems Extended finite element methods Error estimates Nitsche＇s scheme Quadratic element.

THE ULTRACONVERGENCE OF EIGENVALUES FOR BI-QUADRATIC FINITE ELEMENTS被引量：2: 《Journal of Computational Mathematics》2012年第5期555-564,共10页Lingxiong Meng Zhimin Zhang; The classical eigenvalue problem of the second-order elliptic operator is approxlmateo with hi-quadratic finite element in this paper. We construct a new superconvergent function recovery operator, from which the O（...; 关键词：Finite element method Eigenvalue recovery ULTRACONVERGENCE

BLOCK-TRIANGULAR PRECONDITIONERS FOR SYSTEMS ARISING FROM EDGE-PRESERVING IMAGE RESTORATION被引量：2: 《Journal of Computational Mathematics》2010年第6期848-863,共16页Zhong-Zhi Bai Yu-Mei Huang Michael K. Ng; supported by the China NSF Outstanding Young Scientist Foundation(No.10525102);National Natural Science Foundation(No.10471146);the National Basic Research Program (No.2005CB321702)P.R.China;supported in part by the Fundamental Research Fund for Physics and Mathematics of Lanzhou University.P.R.China;supported in part by Hong Kong Research Grants Council Grant Nos.7035/04P and 7035/05P;HKBU FRGs; Signal and image restoration problems are often solved by minimizing a cost function consisting of an l2 data-fidelity term and a regularization term. We consider a class of convex and edge-preserving regularization f...; 关键词：Block system of equations Matrix preconditioner Edge-preserving Image restoration Half-quadratic regularization.

STABLE SOLUTION OF TIME DOMAIN INTEGRAL EQUATION METHODS USING QUADRATIC B-SPLINE TEMPORAL BASIS FUNCTIONS被引量：2: 《Journal of Computational Mathematics》2007年第3期374-384,共11页M.Y.Xia G.H.Zhang G.L.Dai C.H.Chan; This paper is concerned with stable solutions of time domain integral equation （TDIE） methods for transient scattering problems with 3D conducting objects. We use the quadratic B-spline function as temporal basis fu...; 关键词：TDIE methods B-spline temporal basis functions Transient scattering prob-lems.

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