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High-order stroboscopic averaging methods for highly oscillatory delay problems 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2020, 卷号: 152, 页码: 466-479
作者:  Calvo, M. P.;  Sanz-Serna, J. M.;  Zhu, Beibei
收藏  |  浏览/下载：154/0  |  提交时间：2020/05/24
Delay differential equations  Stroboscopic averaging  Highly oscillatory problems  
A stroboscopic averaging algorithm for highly oscillatory delay problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 3, 页码: 1110-1133
作者:  Sanz-Serna, J. M.;  Zhu, Beibei
收藏  |  浏览/下载：195/0  |  提交时间：2020/01/10
delay differential equations  stroboscopic averaging  highly oscillatory problems  
Exponential stability of the exact and numerical solutions for neutral stochastic delay differential equations 期刊论文
APPLIED MATHEMATICAL MODELLING, 2016, 卷号: 40, 期号: 1, 页码: 19-30
作者:  Zong, Xiaofeng;  Wu, Fuke
收藏  |  浏览/下载：151/0  |  提交时间：2018/07/30
Neutral stochastic delay differential equations  Moment exponential stability  Euler Maruyama method  Backward Euler Maruyama method  
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：116/0  |  提交时间：2018/07/30
pantograph delay differential equations  vanishing proportional delay  discontinuous Galerkin method  optimal order of superconvergence  
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：136/0  |  提交时间：2018/07/30
Spectral methods  Legendre quadrature formula  Pantograph-type delay differential equations  Error analysis  Exponential convergence  
Multiple positive periodic solutions for a class of state-dependent delay functional differential equations with feedback control 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2008, 卷号: 197, 期号: 1, 页码: 306-316
作者:  Zeng, Zhijun;  Zhou, Zhongcheng
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
state-dependent delay  positive periodic solution  functional differential equations  the Krasnoselskii fixed point theorem  feedback control  
Speed-accuracy trade-off in planned arm movements with delayed feedback 期刊论文
NEURAL NETWORKS, 2006, 卷号: 19, 期号: 5, 页码: 582-599
作者:  Beamish, D.;  MacKenzie, I. Scott;  Wu, Jianhong
收藏  |  浏览/下载：123/0  |  提交时间：2018/07/30
Fitts' law  sensory-motor control  information theory  delay differential equations  hand-eye coordination  arm movement  neurodynamics  
Stability of theta-methods for advanced differential equations with piecewise continuous arguments 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 卷号: 49, 期号: 9-10, 页码: 1295-1301
作者:  Song, MH;  Yang, ZW;  Liu, MZ
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
delay differential equations  piecewise continuous arguments  asymptotic stability  
Nonlinear stability of Runge-Kutta methods applied to infinite delay differential equation 期刊论文
MATHEMATICAL AND COMPUTER MODELLING, 2004, 卷号: 39, 期号: 4-5, 页码: 495-503
作者:  Zhang, CJ;  Sun, G
收藏  |  浏览/下载：152/0  |  提交时间：2018/07/30
nonlinear stability  Runge-Kutta methods  infinite-delay-differential equations