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The superconvergence of the Newton-Cotes rule for Cauchy principal value integrals 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 卷号: 235, 期号: 3, 页码: 696-707
作者:  Liu, Dongjie;  Wu, Jiming;  Yu, Dehao
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
Cauchy principal value integral  Newton-Cotes method  Superconvergence result  
Superconvergence analysis of FEMs for the Stokes-Darcy system 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 卷号: 33, 期号: 13, 页码: 1605-1617
作者:  Chen, Wenbin;  Chen, Puying;  Gunzburger, Max;  Yan, Ningning
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
Stokes and Darcy equations  superconvergence  Hood-Taylor element  
Extrapolation and superconvergence of the Steklov eigenvalue problem 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2010, 卷号: 33, 期号: 1, 页码: 25-44
作者:  Li, Mingxia;  Lin, Qun;  Zhang, Shuhua
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
The Steklov eigenvalue problem  Graded meshes  Richardson extrapolation  Superconvergence  A posteriori error estimators  
Finite element method for a nonsmooth elliptic equation 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2010, 卷号: 5, 期号: 2, 页码: 191-209
作者:  Chang, Lili;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载:94/0  |  提交时间:2018/07/30
Finite element method  nonsmooth elliptic equation  a priori error estimate  a posteriori error estimate  superconvergence analysis  active set method  
Superconvergence and ultraconvergence of Newton-Cotes rules for supersingular integrals 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 卷号: 233, 期号: 11, 页码: 2841-2854
作者:  Li, Jin;  Zhang, Xiaoping;  Yu, Dehao
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
Supersingular integral  Composite Newton-Cotes rule  Superconvergence  Ultraconvergence  
Superconvergence of Interpolated Collocation Solutions for Hammerstein Equations 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 卷号: 26, 期号: 2, 页码: 290-304
作者:  Huang, Qiumei;  Zhang, Shuhua
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
superconvergence  interpolation postprocessing  the iterated collocation method  Hammerstein equations  smooth and weakly singular kernels  
Error Estimates and Superconvergence of Mixed Finite Element Methods for Convex Optimal Control Problems 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2010, 卷号: 42, 期号: 3, 页码: 382-403
作者:  Chen, Yanping;  Huang, Yunqing;  Liu, Wenbin;  Yan, Ningning
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
Optimal control problem  Mixed finite element  Error estimates  Superconvergence  
The superconvergence of composite trapezoidal rule for Hadamard finite-part integral on a circle and its application 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 卷号: 87, 期号: 4, 页码: 855-876
作者:  Zhang, Xiaoping;  Wu, Jiming;  Yu, Dehao
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
finite-part integral  composite trapezoidal rule  superconvergence  finite-part integral equation of the second kind  scattering problem  
The multi-projection method for weakly singular Fredholm integral equations of the second kind 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 卷号: 87, 期号: 14, 页码: 3254-3265
作者:  Long, Guangqing;  Nelakanti, Gnaneshwar
收藏  |  浏览/下载:91/0  |  提交时间:2018/07/30
super-convergence rates  multi-projection methods  singularity preserving  Petrov-Galerkin methods  integral equations  
DISCONTINUOUS GALERKIN METHODS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 48, 期号: 5, 页码: 1944-1967
作者:  Brunner, Hermann;  Huang, Qiumei;  Xie, Hehu
收藏  |  浏览/下载:95/0  |  提交时间:2018/07/30
pantograph delay differential equations  vanishing proportional delay  discontinuous Galerkin method  optimal order of superconvergence