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Regularized HSS iteration methods for stabilized saddle-point problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1888-1923
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载：185/0  |  提交时间：2020/01/10
stabilized saddle-point problem  Hermitian and skew-Hermitian splitting  stationary iteration method  inexact implementation  preconditioning  convergence  
Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 2096-2134
作者:  Brehier, Charles-Edouard;  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：169/0  |  提交时间：2020/01/10
stochastic Allen-Cahn equation  splitting scheme  strong convergence rate  exponential integrability  
A convergent adaptive finite element method for elliptic Dirichlet boundary control problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1985-2015
作者:  Gong, Wei;  Liu, Wenbin;  Tan, Zhiyu;  Yan, Ningning
收藏  |  浏览/下载：210/0  |  提交时间：2020/01/10
optimal control problem  elliptic equation  Dirichlet boundary control  energy space  adaptive finite element method  convergence  
Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2018, 卷号: 38, 期号: 4, 页码: 2074-2104
作者:  Ma, Chupeng;  Cao, Liqun;  Lin, Yanping
收藏  |  浏览/下载：155/0  |  提交时间：2019/01/11
error estimates  Crank-Nicolson  Galerkin method  Maxwell-Schrodinger  
Finite element approximations for second-order stochastic differential equation driven by fractional Brownian motion 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2018, 卷号: 38, 期号: 1, 页码: 184-197
作者:  Cao, Yanzhao;  Hong, Jialin;  Liu, Zhihui
收藏  |  浏览/下载：155/0  |  提交时间：2018/07/30
stochastic differential equation of boundary value type  fractional Brownian motion  piecewise constant approximation  finite element approximation  
Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrodinger equation 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2017, 卷号: 37, 期号: 2, 页码: 1041-1065
作者:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai
收藏  |  浏览/下载：126/0  |  提交时间：2018/07/30
symplectic method  local discontinuous Galerkin method  stochastic linear Schrodinger equation  L-2-stability  charge conservation law  mean-square convergence  
Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2015, 卷号: 35, 期号: 4, 页码: 1934-1977
作者:  Dai, Xiaoying;  He, Lianhua;  Zhou, Aihui
收藏  |  浏览/下载：121/0  |  提交时间：2018/07/30
adaptive finite element  a posteriori error estimator  convergence rate  complexity  multiple eigenvalue  
Analysis of collocation solutions for a class of functional equations with vanishing delays 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2011, 卷号: 31, 期号: 2, 页码: 698-718
作者:  Brunner, Hermann;  Xie, Hehu;  Zhang, Ran
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
functional equation with vanishing delay  q-difference equation  uniqueness and regularity of solution  collocation solutions  optimal order of convergence  integro-functional equation  
Componentwise error bounds for linear complementarity problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2011, 卷号: 31, 期号: 1, 页码: 348-357
作者:  Wang, Zhengyu;  Yuan, Ya-Xiang
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
error bound  linear complementarity problem  convex quadratic programming  
A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2009, 卷号: 29, 期号: 4, 页码: 986-1007
作者:  Liu, Fang;  Madden, Niall;  Stynes, Martin;  Zhou, Aihui
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
reaction-diffusion  finite element  Shishkin mesh  two-scale discretization  sparse grid