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检索条件"主题词=Structure-preserving algorithm"
65 条 记 录,以下是51-60 订阅
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A fast structure-preserving method for computing the singular value decomposition of quaternion matrices
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APPLIED MATHEMATICS AND COMPUTATION 2014年 235卷 157-167页
作者: Li, Ying Wei, Musheng Zhang, Fengxia Zhao, Jianli Liaocheng Univ Coll Math Sci Shandong 252000 Peoples R China Shanghai Normal Univ Coll Math & Sci Shanghai 200234 Peoples R China
In this paper we propose a fast structure-preserving algorithm for computing the singular value decomposition of quaternion matrices. The algorithm is based on the structure-preserving bidiagonalization of the real co... 详细信息
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Local structure-preserving algorithms for the "good'' Boussinesq equation
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JOURNAL OF COMPUTATIONAL PHYSICS 2013年 239卷 72-89页
作者: Cai, Jiaxiang Wang, Yushun Huaiyin Normal Univ Sch Math Sci Huaian 223300 Jiangsu Peoples R China Nanjing Normal Univ Sch Math Sci Jiangsu Key Lab NSLSCS Nanjing 210046 Jiangsu Peoples R China
In this paper, we derive a series of local structure-preserving algorithms for the "good'' Boussinesq equation, including multisymplectic geometric structure-preserving algorithms, local energy-preserving... 详细信息
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structure-preserving algorithms for autonomous Birkhoffian systems
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Journal of Beijing Institute of Technology 2012年 第1期21卷 1-7页
作者: 孔新雷 吴惠彬 梅凤翔 School of Science Beijing Institute of Technology School of Aerospace Engineering Beijing Institute of Technology
The Pfaff-Birkhoff variational principle is discretized, and based on the discrete variational principle the discrete Birkhoffian equations are obtained. Taking the discrete equations as an algorithm, the correspondin... 详细信息
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Efficient energy-preserving integrators for oscillatory Hamiltonian systems
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JOURNAL OF COMPUTATIONAL PHYSICS 2013年 235卷 587-605页
作者: Wu, Xinyuan Wang, Bin Shi, Wei Nanjing Univ Dept Math Nanjing 210093 Jiangsu Peoples R China Nanjing Univ State Key Lab Novel Software Technol Nanjing 210093 Jiangsu Peoples R China
In this paper, we focus our attention on deriving and analyzing an efficient energy-preserving formula for the system of nonlinear oscillatory or highly oscillatory second-order differential equations q ''(t) ... 详细信息
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A new structure-preserving method for quaternion Hermitian eigenvalue problems
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2013年 第1期239卷 12-24页
作者: Jia, Zhigang Wei, Musheng Ling, Sitao Shanghai Normal Univ Coll Math & Sci Shanghai 200234 Peoples R China Jiangsu Normal Univ Sch Math Sci Jiangsu 221116 Peoples R China China Univ Min & Technol Coll Sci Jiangsu 221116 Peoples R China
In this paper we propose a novel structure-preserving algorithm for solving the right eigenvalue problem of quaternion Hermitian matrices. The algorithm is based on the structure-preserving tridiagonalization of the r... 详细信息
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A structure-preserving method for the quaternion LU decomposition in quaternionic quantum theory
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COMPUTER PHYSICS COMMUNICATIONS 2013年 第9期184卷 2182-2186页
作者: Wang, Minghui Ma, Wenhao Qingdao Univ Sci & Technol Dept Math Qingdao 266061 Peoples R China
In this paper, for the first time, the structure-preserving Gauss transformation is defined. Then by means of its real representation matrix, we present a novel structure-preserving algorithm for the LU decomposition ... 详细信息
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Conformal conservation laws and geometric integration for damped Hamiltonian PDEs
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JOURNAL OF COMPUTATIONAL PHYSICS 2013年 第1期232卷 214-233页
作者: Moore, Brian E. Norena, Laura Schober, Constance M. Univ Cent Florida Dept Math Orlando FL 32816 USA
Conformal conservation laws are defined and derived for a class of multi-symplectic equations with added dissipation. In particular, the conservation laws of energy and momentum are considered, along with those that a... 详细信息
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ON A NONLINEAR MATRIX EQUATION ARISING IN NANO RESEARCH
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SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 2012年 第1期33卷 235-262页
作者: Guo, Chun-Hua Kuo, Yueh-Cheng Lin, Wen-Wei Univ Regina Dept Math & Stat Regina SK S4S 0A2 Canada Natl Univ Kaohsiung Dept Appl Math Kaohsiung 811 Taiwan Natl Taiwan Univ Dept Math Taipei 106 Taiwan Natl Chiao Tung Univ Ctr Math Modelling & Sci Comp Hsinchu 300 Taiwan
The matrix equation X + A (vertical bar) X(-1)A - Q arises in Green's function calculations in nano research, where A is a real square matrix and Q is a real symmetric matrix dependent on a parameter and is usuall... 详细信息
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Numerical solution of nonlinear matrix equations arising from Green's function calculations in nano research
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2012年 第17期236卷 4166-4180页
作者: Guo, Chun-Hua Kuo, Yueh-Cheng Lin, Wen-Wei Univ Regina Dept Math & Stat Regina SK S4S 0A2 Canada Natl Univ Kaohsiung Dept Appl Math Kaohsiung 811 Taiwan Natl Chiao Tung Univ Dept Appl Math Hsinchu 300 Taiwan
The Green's function approach for treating quantum transport in nano devices requires the solution of nonlinear matrix equations of the form X + (C* + i eta D*)X-1(C + i eta D) = R+i eta P. where R and P are Hermi... 详细信息
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A structure-preserving iteration method of model updating based on matrix approximation theory
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COMPUTATIONAL & APPLIED MATHEMATICS 2010年 第2期29卷 173-194页
作者: Xie, Dongxiu Beijing Informat Sci & Technol Univ Sch Sci Beijing 100192 Peoples R China
Some theories and a method are discussed on updating a generalized centrosymmetric model. It gives a generalized centrosymmetric modified solution with partial prescribed least square spectra constraints. The emphasis... 详细信息
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