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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:179/0  |  提交时间:2019/03/05
Time fractional super-diffusion equation  Nonlinear system  ADI schemes  Stability  Convergence  
A GENERAL TWO-LEVEL SUBSPACE METHOD FOR NONLINEAR OPTIMIZATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 6, 页码: 881-902
作者:  Chen, Chong;  Wen, Zaiwen;  Yuan, Yaxiang
收藏  |  浏览/下载:142/0  |  提交时间:2019/03/05
Nonlinear optimization  Convex and nonconvex problems  Subspace technique  Multigrid/multilevel method  Large-scale problems  
AN AUGMENTED LAGRANGIAN TRUST REGION METHOD WITH A BI-OBJECT STRATEGY 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 3, 页码: 331-350
作者:  Kou, Caixia;  Chen, Zhongwen;  Dai, Yu-Hong;  Han, Haifei
收藏  |  浏览/下载:143/0  |  提交时间:2019/03/05
Nonlinear constrained optimization  Augmented Lagrangian function  Bi-object strategy  Global convergence  
ON NEWTON-HSS METHODS FOR SYSTEMS OF NONLINEAR EQUATIONS WITH POSITIVE-DEFINITE JACOBIAN MATRICES 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 卷号: 28, 期号: 2, 页码: 235-260
作者:  Bai, Zhong-Zhi;  Guo, Xue-Ping
收藏  |  浏览/下载:110/0  |  提交时间:2018/07/30
Systems of nonlinear equations  HSS iteration method  Newton method  Local convergence  
A new SQP-filter method for solving nonlinear programming problems 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2006, 卷号: 24, 期号: 5, 页码: 609-634
作者:  Duoquan Li
收藏  |  浏览/下载:79/0  |  提交时间:2018/07/30
nonlinear programming  sequential quadratic programming  filter  restoration phase  Maratos affects  global convergence  multi-objective optimization  quadratic programming subproblem  
A new stepsize for the steepest descent method 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2006, 卷号: 24, 期号: 2, 页码: 149-156
作者:  Yuan, YX
收藏  |  浏览/下载:87/0  |  提交时间:2018/07/30
steepest descent  line search  unconstrained optimization  convergence  
On Hermitian positive definite solution of nonlinear matrix equation X plus A* X-2 A = Q 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2005, 卷号: 23, 期号: 5, 页码: 513-526
作者:  Guo, XX
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
nonlinear matrix equation  Hermitian positive definite solution  sensitivity analysis  error bound  
The mortar element method for a nonlinear biharmonic equation 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2005, 卷号: 23, 期号: 5, 页码: 537-560
作者:  Shi, ZC;  Xu, XJ
收藏  |  浏览/下载:87/0  |  提交时间:2018/07/30
mortar method  nonlinear biharmonic equation  H-1-norm error  energy norm error  
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:85/0  |  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:82/0  |  提交时间:2018/07/30
nonlinear "good" Boussinesq equation  multi-symplectic scheme  Preissmann integrator  conservation law