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Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2022, 卷号: 179, 页码: 183-190
作者:  Chen, Hu;  Chen, Mengyi;  Sun, Tao;  Tang, Yifa
收藏  |  浏览/下载：94/0  |  提交时间：2023/02/07
L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
The Crank-Nicolson Galerkin method and convergence for the time-dependent Maxwell-Dirac system under the Lorentz gauge 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 407, 页码: 20
作者:  Fu, Yaoyao;  Cao, Liqun
收藏  |  浏览/下载：53/0  |  提交时间：2023/02/07
Time-dependent Maxwell-Dirac system  Error estimate  Topological insulator  Graphene  Superconductor  Crank-Nicolson Galerkin finite element method  
The Estimation Performance of Nonlinear Least Squares for Phase Retrieval 期刊论文
IEEE TRANSACTIONS ON INFORMATION THEORY, 2020, 卷号: 66, 期号: 12, 页码: 7967-7977
作者:  Huang, Meng;  Xu, Zhiqiang
收藏  |  浏览/下载：132/0  |  提交时间：2021/04/26
Phase retrieval  estimation performance  nonlinear least squares  nonlinear Lasso  
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 414, 页码: 16
作者:  Liao, Hong-lin;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：158/0  |  提交时间：2020/06/30
Time-fractional Allen-Cahn equation  Alikhanov formula  Adaptive time-stepping strategy  Discrete maximum principle  Sharp error estimate  
STRONG AND WEAK CONVERGENCE RATES OF A SPATIAL APPROXIMATION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATION WITH ONE-SIDED LIPSCHITZ COEFFICIENT 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 4, 页码: 1815-1841
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：164/0  |  提交时间：2020/01/10
one-sided Lipschitz coefficient  stochastic Allen-Cahn equation  finite element method  strong and weak convergence rate  Kolmogorov equation  Malliavin calculus  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
作者:  Huang, Na;  Ma, Chang-Feng
浏览  |  Adobe PDF(577Kb)  |  收藏  |  浏览/下载：824/150  |  提交时间：2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
Analysis of Geometrically Consistent Schemes with Finite Range Interaction 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 22, 期号: 5, 页码: 1333-1361
作者:  Li, Hongliang;  Ming, Pingbing
收藏  |  浏览/下载：139/0  |  提交时间：2018/07/30
Quasicontinuum method  atomic-to-continuum coupling  stability  finite range interactions  
SUPERCONVERGENCE ESTIMATES OF FINITE ELEMENT METHODS FOR AMERICAN OPTIONS 期刊论文
APPLICATIONS OF MATHEMATICS, 2009, 卷号: 54, 期号: 3, 页码: 181-202
作者:  Lin, Qun;  Liu, Tang;  Zhang, Shuhua
收藏  |  浏览/下载：102/0  |  提交时间：2018/07/30
American options  variational inequality  finite element methods  optimal and superconvergent estimates  interpolation postprocessing  a posteriori error estimators  
An Adaptive Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2008, 卷号: 1, 期号: 2, 页码: 113-137
作者:  Chen, Zhiming;  Wu, Xinming
收藏  |  浏览/下载：102/0  |  提交时间：2018/07/30
Adaptivity  uniaxial perfectly matched layer  a posteriori error analysis  acoustic scattering problems  
ON THE INTERPOLATION ERROR ESTIMATES FOR Q(1) QUADRILATERAL FINITE ELEMENTS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 卷号: 47, 期号: 1, 页码: 467-486
作者:  Mao, Shipeng;  Nicaise, Serge;  Shi, Zhong-Ci
收藏  |  浏览/下载：125/0  |  提交时间：2018/07/30
error estimates  quadrilateral elements  isoparametric finite elements  maximal angle condition