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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:98/0  |  提交时间:2023/02/07
L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2019, 卷号: 11, 期号: 6, 页码: 1263-1286
作者:  Liao, Yulei;  Ming, Pingbing
收藏  |  浏览/下载:197/0  |  提交时间:2020/01/10
Nonconforming finite elements  strain gradient elasticity  uniform error estimate  
DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 4, 页码: 561-578
作者:  Li, Ruo;  Ming, Pingbing;  Sun, Zhiyuan;  Yang, Fanyi;  Yang, Zhijian
收藏  |  浏览/下载:223/0  |  提交时间:2019/03/11
Least-squares problem  Reconstructed basis function  Discontinuous Galerkin method  Biharmonic problem  
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:154/0  |  提交时间:2019/01/11
error estimates  Crank-Nicolson  Galerkin method  Maxwell-Schrodinger  
Optimal estimation of sensor biases for asynchronous multi-sensor data fusion 期刊论文
MATHEMATICAL PROGRAMMING, 2018, 卷号: 170, 期号: 1, 页码: 357-386
作者:  Pu, Wenqiang;  Liu, Ya-Feng;  Yan, Junkun;  Liu, Hongwei;  Luo, Zhi-Quan
收藏  |  浏览/下载:174/0  |  提交时间:2018/07/30
Block coordinate decent algorithm  Nonlinear least squares  Sensor registration problem  Tightness of semidefinite relaxation  
Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 127, 页码: 164-178
作者:  Hong, Jialin;  Ji, Lihai;  Liu, Zhihui
收藏  |  浏览/下载:158/0  |  提交时间:2018/07/30
Nonlinear Schrodinger equation  Optimal error estimates  Charge conservation law  Local discontinuous Galerkin method  Generalized alternating numerical flux  
A CRANK-NICOLSON FINITE ELEMENT METHOD AND THE OPTIMAL ERROR ESTIMATES FOR THE MODIFIED TIME-DEPENDENT MAXWELL-SCHRODINGER EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 1, 页码: 369-396
作者:  Ma, Chupeng;  Cao, Liqun
收藏  |  浏览/下载:152/0  |  提交时间:2018/07/30
Maxwell-Schrodinger equations  finite element method  Crank-Nicolson scheme  optimal error estimate  
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:848/153  |  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:140/0  |  提交时间:2018/07/30
Quasicontinuum method  atomic-to-continuum coupling  stability  finite range interactions  
Optimal error estimate of a compact scheme for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2017, 卷号: 120, 页码: 68-81
作者:  Hong, Jialin;  Ji, Lihai;  Kong, Linghua;  Wang, Tingchun
收藏  |  浏览/下载:118/0  |  提交时间:2018/07/30
Nonlinear Schrodinger equation  Compact scheme  Symplectic scheme  Energy conservation  Optimal error estimate