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Spectral methods for weakly singular Volterra integral equations with pantograph delays 期刊论文
Frontiers of Mathematics in China, 2013, 卷号: 8, 期号: 2, 页码: 281
作者:  Zhang Ran;  Zhu Benxi;  Xie Hehu
收藏  |  浏览/下载：108/0  |  提交时间：2020/01/10
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  
The alpha th moment stability for the stochastic pantograph equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 233, 期号: 2, 页码: 109-120
作者:  Fan, Zhencheng;  Song, Minghui;  Liu, Mingzhu
收藏  |  浏览/下载：91/0  |  提交时间：2018/07/30
Stochastic pantograph equation  Razumikhin type theorem  MS-stability  GMS-stability  Semi-implicit Euler methods  
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：108/0  |  提交时间：2018/07/30
volterra integro-differential equation  vanishing delays  proportional delays  pantograph equation  collocation solutions  optimal order of superconvergence