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High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2019, 卷号: 361, 页码: 670-679
作者:  Tang, Wensheng;  Sun, Yajuan;  Zhang, Jingjing
收藏  |  浏览/下载：207/0  |  提交时间：2020/01/10
Continuous-stage Runge-Kutta-Nystrom methods  Hamiltonian systems  Symplectic integrators  Legendre polynomial expansion  Simplifying assumptions  
Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 338, 页码: 290-304
作者:  Shi, Z. G.;  Zhao, Y. M.;  Liu, F.;  Wang, F. L.;  Tang, Y. F.
收藏  |  浏览/下载：200/0  |  提交时间：2018/10/07
Multi-term time fractional diffusion-wave equation  Nonconforming quasi-Wilson finite element  Crank-Nicolson scheme  Superclose and superconvergence  Anisotropic meshes  
High order well-balanced discontinuous Galerkin methods for Euler equations at isentropic equilibrium state under gravitational fields 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2018, 卷号: 329, 页码: 23-37
作者:  Qian, Shouguo;  Liu, Yu;  Li, Gang;  Yuan, Li
收藏  |  浏览/下载：144/0  |  提交时间：2018/07/30
Euler equations  Isentropic equilibrium state  Discontinuous Galerkin methods  Well-balanced property  Gravitational fields  
Second-order two-scale analysis and numerical algorithm for the damped wave equations of composite materials with quasi-periodic structures 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2017, 卷号: 298, 页码: 201-220
作者:  Dong, Hao;  Nie, Yufeng;  Cui, Junzhi;  Wu, Yatao;  Yang, Zihao
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30
Multiscale asymptotic analysis  Damped wave equations  Quasi-periodic structure  Second-order two-scale numerical method  Newmark scheme  
Solving Helmholtz equation at high wave numbers in exterior domains 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2017, 卷号: 298, 页码: 221-235
作者:  Wang, Kun;  Wong, Yau Shu;  Huang, Jizu
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
Helmholtz equation  High wave number  Local refinement  Polar and spherical coordinates  Pollution-free scheme  
Variational discretizations for the generalized Rosenau-type equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2015, 卷号: 271, 页码: 860-873
作者:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
Lagrangian density  Variational integrator  Multisymplectic formulation  Solitons collision  Local conservation law  
A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2015, 卷号: 266, 页码: 149-168
作者:  Huang, Jizu;  Cao, Liqun;  Yang, Chao
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
Radiation heat transfer equation  Homogenization  Multiscale asymptotic expansion  Composite materials  Porous media  
Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2015, 卷号: 264, 页码: 346-358
作者:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
收藏  |  浏览/下载：126/0  |  提交时间：2018/07/30
Robust a posteriori error estimates  Conforming finite element  Nonconforming finite element  Convection diffusion problem  
Anisotropic error bounds of Lagrange interpolation with any order in two and three dimensions 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2011, 卷号: 217, 期号: 22, 页码: 9313-9321
作者:  Chen, Shaochun;  Zheng, Yanjun;  Mao, Shipeng
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
Lagrange interpolation  Anisotropic error bounds  Newton's interpolation formula  
Multiscale analysis and numerical algorithm for the Schrodinger equations in heterogeneous media 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2010, 卷号: 217, 期号: 8, 页码: 3955-3973
作者:  Cao, Li-qun;  Luo, Jian-lan;  Wang, Chong-yu
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
Homogenization  Multiscale asymptotic expansion  Schrodinger equation  The effective mass approximation  Multiscale finite element method