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ALTERNATING DIRECTION IMPLICIT SCHEMES FOR THE TWO-DIMENSIONAL TIME FRACTIONAL NONLINEAR SUPER-DIFFUSION EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 3, 页码: 297-315
作者:  Huang, Jianfei;  Zhao, Yue;  Arshad, Sadia;  Li, Kuangying;  Tang, Yifa
收藏  |  浏览/下载:177/0  |  提交时间:2019/03/05
Time fractional super-diffusion equation  Nonlinear system  ADI schemes  Stability  Convergence  
RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF FINITE ELEMENT METHODS FOR OPTIMAL CONTROL PROBLEMS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 卷号: 28, 期号: 1, 页码: 55-71
作者:  Liu, Tang;  Yan, Ningning;  Zhang, Shuhua
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
Optimal control problem  Finite element methods  Asymptotic error expansions  Defect correction  A posteriori error estimates  
THE l(1)-STABILITY OF A HAMILTONIAN-PRESERVING SCHEME FOR THE LIOUVILLE EQUATION WITH DISCONTINUOUS POTENTIALS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 1, 页码: 45-67
作者:  Wen, Xin;  Jin, Shi
收藏  |  浏览/下载:92/0  |  提交时间:2018/07/30
Liouville equations  Hamiltonian preserving schemes  Discontinuous potentials  l(1)-stability  Semiclassical limit  
Stability analysis and application of the exponential time differencing schemes 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2004, 卷号: 22, 期号: 2, 页码: 200-209
作者:  Du, Q;  Zhu, WX
收藏  |  浏览/下载:84/0  |  提交时间:2018/07/30
time integration schemes  exponential time differencing  Fourier spectral methods  stability  Fourier analysis  energy estimates  maximum principle  Allen-Cahn equations  phase transitions  
A new multi-symplectic scheme for nonlinear "good" Boussinesq equation 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2003, 卷号: 21, 期号: 6, 页码: 703-714
作者:  Huang, LY;  Zeng, WP;  Qin, MZ
收藏  |  浏览/下载:80/0  |  提交时间:2018/07/30
nonlinear "good" Boussinesq equation  multi-symplectic scheme  Preissmann integrator  conservation law  
A V-cycle mutigrid for quadrilateral rotated Q(1) element with numerical integration 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2003, 卷号: 21, 期号: 5, 页码: 545-554
作者:  Shi, ZC;  Xu, XJ
收藏  |  浏览/下载:90/0  |  提交时间:2018/07/30
multigrid  rotated Q(1)  elements  numerical integration  
Variational integrators for higher order differential equations 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2003, 卷号: 21, 期号: 2, 页码: 135-144
作者:  Sun, YJ;  Qin, MZ
收藏  |  浏览/下载:77/0  |  提交时间:2018/07/30
variational integrator  symplectic mapping  
On discrete projection and numerical boundary conditions for the numerical solution of the unsteady incompressible Navier-Stokes equations 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2002, 卷号: 20, 期号: 1, 页码: 35-56
作者:  Huang, LC
收藏  |  浏览/下载:78/0  |  提交时间:2018/07/30
differential algebraic equations  discrete projection  numerical boundary conditions  
On the central relaxing scheme II: Systems of hyperbolic conservation laws 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2001, 卷号: 19, 期号: 6, 页码: 571-582
作者:  Tang, HZ
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
hyperbolic conservation laws  the relaxing system  the central relaxing schemes  the Euler equations  
First-order and second-order, chaos-free, finite difference schemes for Fisher equation 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2001, 卷号: 19, 期号: 5, 页码: 519-530
作者:  Sun, G;  Wu, HM;  Wang, LE
收藏  |  浏览/下载:81/0  |  提交时间:2018/07/30
reaction-diffusion equation  fidelity algorithm