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检索条件"主题词=Structure-preserving algorithms"
21 条 记 录,以下是1-10 订阅
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Local structure-preserving algorithms for the nonlinear Schrödinger equation with power law nonlinearity
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APPLIED MATHEMATICS AND COMPUTATION 2025年 484卷
作者: Luo, Fangwen Tang, Qiong Huang, Yiting Ding, Yanhui Tang, Sijia Hunan Univ Technol Sch Sci Zhuzhou 412007 Hunan Peoples R China
This paper introduces three local structure-preserving algorithms for the one-dimensional nonlinear Schr & ouml;dinger equation with power law nonlinearity, comprising two local energy- conserving algorithms and o... 详细信息
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A Class of Meshless structure-preserving algorithms for the Nonlinear Schrödinger Equation
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COMPUTATIONAL METHODS IN APPLIED MATHEMATICS 2024年
作者: Wang, Jialing Zhou, Zhengting Lin, Zhoujin Nanjing Univ Informat Sci & Technol Sch Math & Stat Nanjing 210044 Peoples R China
This paper aims to give a unified construction framework of meshless structure-preserving algorithms to solve the d-dimensional ( d = 1 {d=1} or 2) nonlinear Schr & ouml;dinger equation. Based on the method of lin... 详细信息
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Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrodinger equation
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INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 2022年 第5期99卷 877-894页
作者: Fu, Yayun Shi, Yanhua Zhao, Yanmin Xuchang Univ Sch Sci Xuchang 461000 Peoples R China
The paper aims to construct a class of high-order explicit conservative schemes for the space fractional nonlinear Schrodinger equation by combing the invariant energy quadratization method and Runge-Kutta method. We ... 详细信息
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structure-preserving algorithms for the two-dimensional fractional Klein-Gordon-Schrodinger equation
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APPLIED NUMERICAL MATHEMATICS 2020年 156卷 77-93页
作者: Fu, Yayun Cai, Wenjun Wang, Yushun Nanjing Normal Univ Jiangsu Collaborat Innovat Ctr Biomedial Funct Ma Sch Math Sci Jiangsu Key Lab NSLSCS Nanjing 210023 Peoples R China
This paper aims to construct structure-preserving numerical schemes for the two-dimensional space fractional Klein-Gordon-Schrodinger equation, which are based on the newly developed partitioned averaged vector field ... 详细信息
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LOCAL structure-preserving algorithms FOR THE KDV EQUATION
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Journal of Computational Mathematics 2017年 第3期35卷 289-318页
作者: Jialing Wang Yushun Wang Jiangsu Key Laboratory of NSLSCS School of Mathematical Sciences Nanjing Normal University Nanjing 210023 China
In this paper, based on the concatenating method, we present a unified framework to construct a series of local structure-preserving algorithms for the Korteweg-de Vries (KdV) equation, including eight multi-symplec... 详细信息
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Three sixth-order explicit symplectic Runge-Kutta-Nystrom methods with exact parameters
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RESULTS IN APPLIED MATHEMATICS 2025年 26卷
作者: Pan, Mengjiao Zhang, Jingjing Zhang, Shangyou East China Jiaotong Univ Sch Sci Nanchang 330013 Peoples R China Univ Delaware Dept Math Sci Newark DE 19716 USA
For separable Hamiltonian systems, we construct first ever three symplectic explicit Runge-Kutta-Nystr & ouml;m methods of six orders with exact parameters. We numerically and theoretically compare these three new... 详细信息
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An exact in time Fourier pseudospectral method with multiple conservation laws for three-dimensional Maxwell's equations
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ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS 2024年 第3期58卷 857-880页
作者: Wang, Bin Jiang, Yaolin Xi An Jiao Tong Univ Sch Math & Stat Xian 710049 Shannxi Peoples R China
Maxwell's equations describe the propagation of electromagnetic waves and are therefore fundamental to understanding many problems encountered in the study of antennas and electromagnetics. The aim of this paper i... 详细信息
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Efficiency energy-preserving cosine pseudo-spectral algorithms for the sine-Gordon equation with Neumann boundary conditions
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INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 2022年 第12期99卷 2367-2381页
作者: Yue, Xiaopeng Fu, Yayun Xuchang Univ Sch Sci Henan Joint Int Res Lab High Performance Computat Xuchang 461000 Peoples R China
This paper considers the newly introduced generalized scalar auxiliary variable approaches to construct high-efficiency energy-preserving schemes for the sine-Gordon equation with Neumann boundary conditions. The equa... 详细信息
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A Class of Explicit Divergence-Free Methods for Maxwell's Equations With Dirichlet Boundary Conditions
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IEEE ACCESS 2022年 10卷 126188-126198页
作者: Zeng, Xianyang Yang, Hongli Nanjing Inst Technol Ind Ctr Nanjing Peoples R China Nanjing Inst Technol Sch Math & Phys Nanjing Peoples R China
In this paper, we focus on the numerical solutions of Maxwell's equations with Dirichlet boundary conditions in rectangular coordinate. A class of explicit methods is derived by using an effective solver for a sys... 详细信息
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Exponential discrete gradient schemes for a class of stochastic differential equations
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2022年 402卷 113797-113797页
作者: Ruan, Jialin Wang, Lijin Wang, Pengjun Univ Chinese Acad Sci Sch Math Sci YuQuan Rd 19 Beijing 100049 Peoples R China
In this paper, we propose a class of stochastic exponential discrete gradient schemes for SDEs with linear and gradient components in the coefficients. The root mean-square errors of the schemes are analyzed, and the ... 详细信息
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