Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type

SIAM Journal on Numerical Analysis ◽

10.1137/090771922 ◽

2010 ◽

Vol 48 (5) ◽

pp. 1944-1967 ◽

Author(s):

Hermann Brunner ◽

Qiumei Huang ◽

Hehu Xie

Keyword(s):

Differential Equations ◽

Discontinuous Galerkin ◽

Delay Differential Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Delay Differential

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Superconvergence of discontinuous Galerkin methods for nonlinear delay differential equations with vanishing delay

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.08.029 ◽

2019 ◽

Vol 348 ◽

pp. 314-327 ◽

Author(s):

Xiuxiu Xu ◽

Qiumei Huang

Keyword(s):

Differential Equations ◽

Discontinuous Galerkin ◽

Delay Differential Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Nonlinear Delay Differential Equations ◽

Vanishing Delay ◽

Delay Differential ◽

Nonlinear Delay

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Nonlinear stability of discontinuous Galerkin methods for delay differential equations

Applied Mathematics Letters ◽

10.1016/j.aml.2009.12.003 ◽

2010 ◽

Vol 23 (4) ◽

pp. 457-461 ◽

Author(s):

Dongfang Li ◽

Chengjian Zhang

Keyword(s):

Differential Equations ◽

Discontinuous Galerkin ◽

Nonlinear Stability ◽

Delay Differential Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Delay Differential

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Discontinuous Galerkin Methods for Multi-Pantograph Delay Differential Equations

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2019-0116 ◽

2020 ◽

Vol 12 (1) ◽

pp. 189-211

Author(s):

Kun Jiang

Keyword(s):

Differential Equations ◽

Discontinuous Galerkin ◽

Delay Differential Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Delay Differential

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Numerical Solutions of Nonautonomous Stochastic Delay Differential Equations by Discontinuous Galerkin Methods

Journal of Computational Mathematics ◽

10.4208/jcm.1806-m2017-0296 ◽

2019 ◽

Vol 37 (3) ◽

pp. 419-436

Author(s):

Xinjie Dai and Aiguo Xiao

Keyword(s):

Differential Equations ◽

Discontinuous Galerkin ◽

Delay Differential Equations ◽

Discontinuous Galerkin Methods ◽

Numerical Solutions ◽

Galerkin Methods ◽

Stochastic Delay Differential Equations ◽

Stochastic Delay ◽

Delay Differential

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error estimates of discontinuous Galerkin methods for delay differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2014.01.008 ◽

2014 ◽

Vol 82 ◽

pp. 1-10 ◽

Author(s):

Dongfang Li ◽

Chengjian Zhang

Keyword(s):

Differential Equations ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Delay Differential Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Delay Differential

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Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type

SIAM Journal on Scientific Computing ◽

10.1137/110824632 ◽

2011 ◽

Vol 33 (5) ◽

pp. 2664-2684 ◽

Author(s):

Qiumei Huang ◽

Hehu Xie ◽

Hermann Brunner

Keyword(s):

Differential Equations ◽

Discontinuous Galerkin ◽

Delay Differential Equations ◽

Delay Differential

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On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: Energy conservation and multi-symplecticity

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109662 ◽

2020 ◽

Vol 419 ◽

pp. 109662

Author(s):

Zheng Sun ◽

Yulong Xing

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Energy Conservation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Partial Differential ◽

Structure Preserving

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Some Recent Developments in Superconvergence of Discontinuous Galerkin Methods for Time-Dependent Partial Differential Equations

Journal of Scientific Computing ◽

10.1007/s10915-018-0762-2 ◽

2018 ◽

Vol 77 (3) ◽

pp. 1402-1423 ◽

Author(s):

Waixiang Cao ◽

Zhimin Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Time Dependent ◽

Galerkin Methods ◽

Partial Differential ◽

Recent Developments

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Approximation of Solutions of Stochastic Differential Equations by Discontinuous Galerkin Methods

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/736 ◽

1996 ◽

Vol 15 (4) ◽

pp. 901-916

Author(s):

W. Grecksch ◽

A. Wadewitz

Keyword(s):

Differential Equations ◽

Stochastic Differential Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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Superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations

Scientia Sinica Mathematica ◽

10.1360/n012014-00123 ◽

2015 ◽

Vol 45 (7) ◽

pp. 1041-1060 ◽

Author(s):

Chi-Wang SHU ◽

Xiong MENG ◽

Yang YANG

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Time Dependent ◽

Galerkin Methods ◽

Partial Differential

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