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A Laguerre spectral method for quadratic optimal control of nonlinear systems in a semi-infinite interval 期刊论文
AUTOMATIKA, 2020, 卷号: 61, 期号: 3, 页码: 461-474
作者:  Masoumnezhad, Mojtaba;  Saeedi, Mohammadhossein;  Yu, Haijun;  Nik, Hassan Saberi
收藏  |  浏览/下载：184/0  |  提交时间：2020/11/18
Laguerre method  collocation method  optimal control problems  spectral homotopy analysis method (SHAM)  semi-infinite interval  
A family of spectral gradient methods for optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2019, 卷号: 74, 期号: 1, 页码: 43-65
作者:  Dai, Yu-Hong;  Huang, Yakui;  Liu, Xin-Wei
收藏  |  浏览/下载：183/0  |  提交时间：2020/01/10
Unconstrained optimization  Steepest descent method  Spectral gradient method  R-linear convergence  R-superlinear convergence  
EFFICIENT SPECTRAL SPARSE GRID APPROXIMATIONS FOR SOLVING MULTI-DIMENSIONAL FORWARD BACKWARD SDES 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 卷号: 22, 期号: 9, 页码: 3439-3458
作者:  Fu, Yu;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：131/0  |  提交时间：2018/07/30
Spectral method  sparse grid approximations  forward backward stochastic differential equations  conditional expectations  fast Fourier transform  
Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 卷号: 24, 期号: 4, 页码: 15
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya;  Pan, Jian-Yu
收藏  |  浏览/下载：168/0  |  提交时间：2018/07/30
convergence  Krylov subspace method  matrix splitting iteration  preconditioning  spatial fractional diffusion equation  spectral analysis  
A NODAL SPARSE GRID SPECTRAL ELEMENT METHOD FOR MULTI-DIMENSIONAL ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2017, 卷号: 14, 期号: 4-5, 页码: 762-783
作者:  Rong, Zhijian;  Shen, Jie;  Yu, Haijun
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
Sparse grid  spectral element method  high-dimensional problem  adaptive method  
Integrable discretization of nonlinear Schrodinger equation and its application with Fourier pseudo-spectral method 期刊论文
NUMERICAL ALGORITHMS, 2015, 卷号: 69, 期号: 4, 页码: 839-862
作者:  Zhang, Y.;  Hu, X. B.;  Tam, H. W.
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30
NLS equation  Integrable discretization  Infinite conservation quantities  Fourier pseudo-spectral method  
Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2010, 卷号: 7, 期号: 3, 页码: 613-630
作者:  Hong, Jialin;  Kong, Linghua
收藏  |  浏览/下载：136/0  |  提交时间：2018/07/30
Schrodinger equation with trapped term  multi-symplectic scheme  Fourier spectral method  conservation law  split-step method