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Energy and quadratic invariants preserving (EQUIP) multi-symplectic methods for Hamiltonian wave equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 418, 页码: 18
作者:  Chen, Chuchu;  Hong, Jialin;  Sim, Chol;  Sonwu, Kwang
收藏  |  浏览/下载：170/0  |  提交时间：2020/10/12
Hamiltonian wave equations  Energy preservation  EQUIP multi-symplectic methods  
Asymptotic stability of harmonic maps between 2D hyperbolic spaces under the wave map equation. II. Small energy case 期刊论文
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2018, 卷号: 15, 期号: 4, 页码: 283-336
作者:  Li, Ze;  Ma, Xiao;  Zhao, Lifeng
收藏  |  浏览/下载：157/0  |  提交时间：2019/03/05
wave map equation  hyperbolic spaces  asymptotic stability  harmonic maps  curved spacetime  
An energy-conserving method for stochastic Maxwell equations with multiplicative noise 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 351, 页码: 216-229
作者:  Hong, Jialin;  Ji, Lihai;  Zhang, Liying;  Cai, Jiaxiang
收藏  |  浏览/下载：219/0  |  提交时间：2018/07/30
Energy-conserving method  Three-dimensional stochastic Maxwell equations  Multiplicative noise  Geometric structure  
Fluids, Elasticity, Geometry, and the Existence of Wrinkled Solutions 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2017, 卷号: 226, 期号: 3, 页码: 1009-1060
作者:  Acharya, Amit;  Chen, Gui-Qiang G.;  Li, Siran;  Slemrod, Marshall;  Wang, Dehua
收藏  |  浏览/下载：141/0  |  提交时间：2018/07/30
Localized discrete Laplace-Beltrami operator over triangular mesh 期刊论文
COMPUTER AIDED GEOMETRIC DESIGN, 2015, 卷号: 39, 页码: 67-82
作者:  Li, Xinge;  Xu, Guoliang;  Zhang, Yongjie Jessica
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
Laplace-Beltrami operator  Surface triangulation  Discretization  Convergence  
Construction of quadrilateral subdivision surfaces with prescribed G(1) boundary conditions 期刊论文
COMPUTER-AIDED DESIGN, 2011, 卷号: 43, 期号: 6, 页码: 605-611
作者:  Pan, Qing;  Xu, Guoliang
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
Catmull-Clark's subdivision surface  Geometric partial differential equations  G(1) Continuity  
Well-posedness and regularity of Naghdi's shell equation under boundary control and observation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 卷号: 249, 期号: 12, 页码: 3174-3214
作者:  Chai, Shugen;  Guo, Bao-Zhu
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
Naghdi's shell model  Well-posedness  Regularity  Boundary control and observation  
CONSTRUCTION OF GEOMETRIC PARTIAL DIFFERENTIAL EQUATIONS FOR LEVEL SETS 期刊论文
Journal of Computational Mathematics, 2010, 卷号: 28, 期号: 1, 页码: 105
作者:  Chong Chen;  Guoliang Xu
收藏  |  浏览/下载：63/0  |  提交时间：2018/07/30
Formal Integrability Criteria for Nonlinear Partial Difference Equations 期刊论文
ACTA APPLICANDAE MATHEMATICAE, 2009, 卷号: 108, 期号: 2, 页码: 279-297
作者:  Xie, Zheng;  Li, Hongbo
收藏  |  浏览/下载：104/0  |  提交时间：2018/07/30
Nonlinear difference equations  Spencer cohomology  Formal differential geometry  Discrete differential geometry  
Mixed finite element methods for geometric modeling using general fourth order geometric flows 期刊论文
COMPUTER AIDED GEOMETRIC DESIGN, 2009, 卷号: 26, 期号: 4, 页码: 378-395
作者:  Xu, Guoliang
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
Geometric partial differential equation  Mixed finite element method  Surface denoising  Surface blending  Hole filling  Surface mesh refinement