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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:97/0  |  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  
A VARIANT OF THE PLANE WAVE LEAST SQUARES METHOD FOR THE TIME-HARMONIC MAXWELL'S EQUATIONS 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2019, 卷号: 53, 期号: 1, 页码: 85-103
作者:  Hu, Qiya;  Song, Rongrong
收藏  |  浏览/下载:170/0  |  提交时间:2020/01/10
Maxwell's equations  plane wave method  variational problem  L-2 error estimate  
Multiscale computational method for transient heat conduction problems of periodic porous materials with diverse periodic configurations in different subdomains 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 136, 页码: 215-234
作者:  Dong, Hao;  Cui, Junzhi;  Nie, Yufeng;  Yang, Zihao;  Ma, Qiang;  Cheng, Xiaohan
收藏  |  浏览/下载:172/0  |  提交时间:2019/03/05
Periodic porous materials  Asymptotic homogenization method  Diverse periodic configurations  Error estimate  SOTS numerical algorithm  
ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2019, 卷号: 16, 期号: 3, 页码: 412-435
作者:  Wang, Kun;  Wong, Yau Shu;  Huang, Jizu
收藏  |  浏览/下载:174/0  |  提交时间:2019/04/02
Helmholtz equation  error estimate  finite difference method  polar and spherical coordinates  pollution-free scheme  
Multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 卷号: 76, 期号: 11-12, 页码: 2549-2565
作者:  Dong, Hao;  Cui, Junzhi;  Nie, Yufeng;  Yang, Zihao;  Yang, Zhiqiang
收藏  |  浏览/下载:207/0  |  提交时间:2019/01/11
Heat conduction problems  Multiscale asymptotic analysis  Diverse periodic configurations  Error estimate  SOTS numerical algorithm  
FULLY COMPUTABLE ERROR BOUNDS FOR EIGENVALUE PROBLEM 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2018, 卷号: 15, 期号: 1-2, 页码: 260-276
作者:  Hong, Qichen;  Xie, Hehu;  Yue, Meiling;  Zhang, Ning
收藏  |  浏览/下载:165/0  |  提交时间:2018/07/30
Eigenvalue problem  computable error estimate  guaranteed upper bound  guaranteed lower bound  complementary method  
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  
AN ADAPTIVE FINITE ELEMENT PML METHOD FOR THE ELASTIC WAVE SCATTERING PROBLEM IN PERIODIC STRUCTURES 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2017, 卷号: 51, 期号: 5, 页码: 2017-2047
作者:  Jiang, Xue;  Li, Peijun;  Lv, Junliang;  Zheng, Weiying
收藏  |  浏览/下载:138/0  |  提交时间:2018/07/30
Elastic wave equation  adaptive finite element  perfectly matched layer  a posteriori error estimate  
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