Suchergebnisse - "Structure-preserving algorithms"

Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions von Cai, Wenjun, Jiang, Chaolong, Wang, Yushun, Song, Yongzhong

“… This paper presents two kinds of strategies to construct structure-preserving algorithms with homogeneous Neumann boundary conditions for the sine-Gordon equation, while most existing structure …”
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Structure preserving algorithms with adaptive time step for Birkhoffian systems von Kong, Xinlei, Song, Yinjie, Wu, Huibin

“… Structure preserving algorithms with adaptive time step are systematically developed for Birkhoffian systems …”
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Structure-preserving algorithms for the two-dimensional fractional Klein-Gordon-Schrödinger equation von Fu, Yayun, Cai, Wenjun, Wang, Yushun

“… This paper aims to construct structure-preserving numerical schemes for the two-dimensional space fractional Klein-Gordon-Schrödinger equation, which are based …”
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Local structure-preserving algorithms for the “good” Boussinesq equation von Cai, Jiaxiang, Wang, Yushun

“… In this paper, we derive a series of local structure-preserving algorithms for the “good” Boussinesq equation, including multisymplectic geometric structure …”
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Local structure-preserving algorithms for the nonlinear Schrödinger equation with power law nonlinearity von Luo, Fangwen, Tang, Qiong, Huang, Yiting, Ding, Yanhui, Tang, Sijia

“… This paper introduces three local structure-preserving algorithms for the one-dimensional nonlinear …”
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Energy stable and structure-preserving algorithms for the stochastic Galerkin system of 2D shallow water equations von Epshteyn, Yekaterina, Narayan, Akil, Yu, Yinqian

“… Shallow water equations (SWE) are fundamental nonlinear hyperbolic PDE-based models in fluid dynamics that are essential for studying a wide range of …”
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Some new structure-preserving algorithms for general multi-symplectic formulations of Hamiltonian PDEs von Gong, Yuezheng, Cai, Jiaxiang, Wang, Yushun

“… Many partial differential equations (PDEs) can be written as a multi-symplectic Hamiltonian system, which has three local conservation laws, namely …”
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High-order structure-preserving algorithms for the multi-dimensional fractional nonlinear Schrödinger equation based on the SAV approach von Fu, Yayun, Hu, Dongdong, Wang, Yushun

“… In the paper, we aim to develop a class of high-order structure-preserving algorithms, which are built upon the idea of the newly introduced scalar auxiliary variable approach, for the multi …”
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Local structure-preserving algorithms for general multi-symplectic Hamiltonian PDEs von Cai, Jiaxiang, Wang, Yushun, Jiang, Chaolong

“… Many PDEs can be recast into the general multi-symplectic formulation possessing three local conservation laws. We devote the present paper to some systematic …”
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Real structure-preserving algorithms of Householder based transformations for quaternion matrices von Li, Ying, Wei, Musheng, Zhang, Fengxia, Zhao, Jianli

“… We propose real structure-preserving algorithms of these Householder based transformations, which make the procedure computationally more flexible and efficient …”
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Dual quaternion QR decompositon and its corresponding complex structure-preserving algorithms von Sun, Jianhua, Li, Ying, Liu, Xiaochen, Zhang, Mingcui

“… ) of matrices, and the complex structure-preserving algorithm of the DQQRD is proposed. In order to improve the accuracy of the decomposition, a method of column pivoting is given …”
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Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation von Fu, Yayun, Shi, Yanhua, Zhao, Yanmin

“… The paper aims to construct a class of high-order explicit conservative schemes for the space fractional nonlinear Schrödinger equation by combing the …”
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Optimal error estimation of two fast structure-preserving algorithms for the Riesz fractional sine-Gordon equation von Ma, Tingting, Zheng, Qianqian, Fu, Yayun

“… The primary purpose of this paper is to develop and analyze two fast and conservative algorithms for the fractional sine-Gordon equation. The numerical schemes …”
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Arbitrarily high order structure-preserving algorithms for the Allen-Cahn model with a nonlocal constraint von Hong, Qi, Gong, Yuezheng, Zhao, Jia, Wang, Qi

“… We develop fully discrete structure-preserving numerical algorithms of arbitrarily high order for the Allen-Cahn model with a nonlocal constraint subject to …”
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Local Structure-Preserving Algorithms for the Klein-Gordon-Zakharov Equation von Wang, Jialing, Zhou, Zhengting, Wang, Yushun

“… In this paper, using the concatenating method, a series of local structure-preserving algorithms are obtained for the Klein-Gordon-Zakharov equation, including four multi-symplectic algorithms, four …”
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New structure-preserving algorithms of Gauss-Seidel and successive over-relaxation iteration methods for quaternion linear systems von Ding, Wenxv, Liu, Zhihong, Li, Ying, Wei, Anli, Zhang, Mingcui

“… = b and obtain the structure-preserving algorithms of Gauss-Seidel and successive over-relaxation iteration methods for quaternion linear systems A x = b …”
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Compact Local Structure-Preserving Algorithms for the Nonlinear Schrödinger Equation with Wave Operator von Huang, Langyang, Cai, Yaoxiong, Tian, Zhaowei

“… Combining the compact method with the structure-preserving algorithm, we propose a compact local energy-preserving scheme and a compact local momentum-preserving scheme for the nonlinear …”
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Structure-Preserving Algorithms with Uniform Error Bound and Long-time Energy Conservation for Highly Oscillatory Hamiltonian Systems von Wang, Bin, Jiang, Yaolin

“… Structure-preserving algorithms and algorithms with uniform error bound have constituted two interesting classes of numerical methods …”
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Performance of compact and non-compact structure preserving algorithms to traveling wave solutions modeled by the Kawahara equation von Chousurin, R., Mouktonglang, T., Wongsaijai, B., Poochinapan, K.

“… The main contribution of this article is to introduce new compact fourth-order, standard fourth-order, and standard second-order finite difference schemes for …”
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The LC-Structure-Preserving Algorithms of Quaternion LDLH Decomposition and Cholesky Decomposition von Zhang, Mingcui, Li, Ying, Sun, Jianhua, Ding, Wenxv

“… In this paper, the L C -structure-preserving algorithms of L D L H decomposition and Cholesky decomposition of quaternion Hermitian positive definite matrices based on the semi-tensor product of matrices are studied …”
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