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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：120/0  |  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  
SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 卷号: 33, 期号: 5, 页码: 2664-2684
作者:  Huang, Qiumei;  Xie, Hehu;  Brunner, Hermann
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
pantograph delay differential equation  vanishing proportional delay  discontinuous Galerkin method  interpolation and iteration postprocessing  superconvergence  
COLLOCATION METHODS FOR GENERAL VOLTERRA FUNCTIONAL INTEGRAL EQUATIONS WITH VANISHING DELAYS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2011, 卷号: 33, 期号: 6, 页码: 3303-3332
作者:  Xie, Hehu;  Zhang, Ran;  Brunner, Hermann
收藏  |  浏览/下载：95/0  |  提交时间：2018/07/30
Volterra functional integral equations  vanishing delays  pantograph-type delays  existence and regularity of solutions  collocation solutions  optimal order of convergence  
Spectral methods for pantograph-type differential and integral equations with multiple delays 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2009, 卷号: 4, 期号: 1, 页码: 49-61
作者:  Ali, Ishtiaq;  Brunner, Hermann;  Tang, Tao
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
Delay differential equation  Volterra functional integral equation  multiple vanishing delays  Legendre spectral method  convergence analysis  
A SPECTRAL METHOD FOR PANTOGRAPH-TYPE DELAY DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 2-3, 页码: 254-265
作者:  Ali, Ishtiaq;  Brunner, Hermann;  Tang, Tao
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
Spectral methods  Legendre quadrature formula  Pantograph-type delay differential equations  Error analysis  Exponential convergence  
Optimal superconvergence results for delay integro-differential equations of pantograph type 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 卷号: 45, 期号: 3, 页码: 986-1004
作者:  Brunner, Hermann;  Hu, Qiya
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
volterra integro-differential equation  vanishing delays  proportional delays  pantograph equation  collocation solutions  optimal order of superconvergence  
Optimal superconvergence orders of iterated collocation solutions for volterra integral equations with vanishing delays 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2005, 卷号: 43, 期号: 5, 页码: 1934-1949
作者:  Brunner, H;  Hu, QY
收藏  |  浏览/下载：95/0  |  提交时间：2018/07/30
delay integral equation  proportional delays  collocation method  iterated collocation  solution  optimal order of superconvergence  
Geometric meshes in collocation methods for Volterra integral equations with proportional delays 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2001, 卷号: 21, 期号: 4, 页码: 783-798
作者:  Brunner, H;  Hu, QUY;  Lin, Q
收藏  |  浏览/下载：77/0  |  提交时间：2018/07/30
delay integral equation  geometric mesh  collocation method  iterated collocation solution  superconvergence