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检索条件"主题词=Structure-preserving algorithm"
65 条 记 录,以下是1-10 订阅
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structure-preserving algorithm and Its Error Estimate for the Relativistic Charged-Particle Dynamics Under the Strong Magnetic Field
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JOURNAL OF SCIENTIFIC COMPUTING 2024年 第3期100卷 70页
作者: Zhang, Ruili Liu, Tong Wang, Bin Liu, Jian Tang, Yifa Beijing Jiaotong Univ Sch Math & Stat Beijing 100044 Peoples R China Xi An Jiao Tong Univ Sch Math & Stat Xian 710049 Shaanxi Peoples R China Shandong Univ SDU ANU Joint Sci Coll Weihai 264209 Peoples R China Chinese Acad Sci LSEC ICMSEC Acad Math & Syst Sci Beijing 100190 Peoples R China
This paper investigates the numerical algorithm and its error estimates for the dynamics of relativistic charged particles under a strong maximal ordering scaling magnetic field. To maintain the fundamental principles... 详细信息
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A structure-preserving algorithm for the quaternion Cholesky decomposition
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APPLIED MATHEMATICS AND COMPUTATION 2013年 223卷 354-361页
作者: Wang, Minghui Ma, Wenhao Qingdao Univ Sci & Technol Dept Math Qingdao 266061 Peoples R China
In this paper, we discuss the Cholesky decomposition of the Hermitian positive definite quaternion matrix. For the first time, the structure-preserving Gauss transformation is defined, and then a novel structure-prese... 详细信息
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A partially structure-preserving algorithm for the permanents of adjacency matrices of fullerenes
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COMPUTER PHYSICS COMMUNICATIONS 2004年 第2期163卷 79-84页
作者: Liang, H Bai, FS Tsing Hua Univ Dept Math Sci Beijing 100084 Peoples R China
A partially structure-preserving method for sparse symmetric matrices is proposed. Computational results on the permanents of adjacency matrices arising from molecular chemistry are presented. The largest adjacency ma... 详细信息
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H∞ norm computation of linear continuous-time periodic systems by a structure-preserving algorithm
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INTERNATIONAL JOURNAL OF CONTROL 2014年 第1期87卷 131-142页
作者: Peng, Haijun Wu, Zhigang Zhong, Wanxie Dalian Univ Technol Dept Engn Mech State Key Lab Struct Anal Ind Equipment Dalian 116024 Peoples R China Dalian Univ Technol Sch Aeronaut & Astronaut Dalian 116024 Peoples R China
A new reliable structure-preserving algorithm for computing H norm of linear continuous-time periodic systems is proposed in this paper. In the computation of the H norm, no Riccati differential equations are needed t... 详细信息
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A structure-preserving algorithm for time-scale non-shiftedHamiltonian systems
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Theoretical & Applied Mechanics Letters 2022年 第5期12卷 349-358页
作者: Xue Tian Yi Zhang School of Science Nanjing University of Science and TechnologyNanjing210094JiangsuChina School of Mathematics and Big Data Anhui University of Science and TechnologyHuainan232001AnhuiChina College of Civil Engineering Suzhou University of Science and TechnologySuzhou215011JiangsuChina
The variational calculus of time-scale non-shifted systems includes both the traditional continuous and traditional significant discrete variational *** only can the combination ofand∇derivatives be beneficial to obta... 详细信息
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A complex structure-preserving algorithm for split quaternion matrix LDU decomposition in split quaternion mechanics
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CALCOLO 2021年 第3期58卷 34-34页
作者: Wang, Gang Jiang, Tongsong Guo, Zhenwei Zhang, Dong North Eastern Fed Univ Inst Math & Informat Sci Yakutsk 677000 Russia Heze Univ Sch Math & Stat Heze 274015 Shandong Peoples R China Liaocheng Univ Sch Math Sci Liaocheng 252000 Shandong Peoples R China Shandong Univ Sci & Technol Coll Math & Syst Sci Qingdao 266590 Shandong Peoples R China
Matrix decompositions play a prominent role in the theoretical study and numerical calculation of split quaternion mechanics. This paper, by means of a complex representation of split quaternion matrices, introduces G... 详细信息
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A structure-preserving Jacobi algorithm for quaternion Hermitian eigenvalue problems
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COMPUTERS & MATHEMATICS WITH APPLICATIONS 2018年 第3期75卷 809-820页
作者: Ma, Ru-Ru Jia, Zhi-Gang Bai, Zheng-Jian Xiamen Univ Sch Math Sci Xiamen 361005 Peoples R China Jiangsu Normal Univ Sch Math & Stat Xuzhou 221116 Peoples R China
A new real structure-preserving Jacobi algorithm is proposed for solving the eigenvalue problem of quaternion Hermitian matrix. By employing the generalized JRS-symplectic Jacobi rotations, the new quaternion Jacobi a... 详细信息
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Construction and Analysis of structure-preserving Numerical algorithm for Two-Dimensional Damped Nonlinear Space Fractional Schrödinger equation
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JOURNAL OF SCIENTIFIC COMPUTING 2024年 第3期99卷 60-60页
作者: Ding, Hengfei Qu, Haidong Yi, Qian Guangxi Normal Univ Ctr Appl Math Guangxi Sch Math & Stat Guilin 541006 Peoples R China Guangxi Normal Univ Educ Dept Guangxi Zhuang Autonomous Reg Key Lab Math Model & Applicat Guilin 514006 Peoples R China Hanshan Normal Univ Dept Math Chaozhou 521041 Peoples R China Guangxi Normal Univ Sch Math & Stat Guilin 541006 Peoples R China
In this paper, we present a novel high-order structure-preserving numerical scheme for solving the damped nonlinear space fractional Schrodinger equation (DNSFSE) in two spatial dimensions. The main idea of constructi... 详细信息
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Auxiliary relaxation method to derive thermodynamically consistent phase field models with constraints and structure preserving numerical approximations
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JOURNAL OF COMPUTATIONAL PHYSICS 2025年 522卷
作者: Hong, Qi Zhang, Zengyan Zhao, Jia Nanjing Univ Aeronaut & Astronaut Sch Math Nanjing 211106 Peoples R China MIIT Key Lab Math Modelling & High Performance Comp Air Nanjing 211106 Peoples R China Nanjing Normal Univ Key Lab Numer Simulat Large Scale Complex Syst Minist Educ Nanjing 210023 Peoples R China Binghamton Univ Dept Math & Stat Binghamton NY 13850 USA
In this paper, we introduce a novel approach for formulating phase field models with constraints. The main idea is to introduce auxiliary variables that regularize and gradually dissipate constraint deviations of the ... 详细信息
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structure-preserving exponential time differencing methods for modeling Josephson Junctions
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APPLIED MATHEMATICS LETTERS 2025年 162卷
作者: Mcintosh, Fiona Amirzadeh, Lily Moore, Brian E. Univ Cent Florida Dept Math Orlando FL 32816 USA
Explicit, conformal symplectic, exponential time differencing (ETD) methods have numerous advantages over other well-known and commonly used methods, including structure-preservation, high stability, ease of implement... 详细信息
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