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 ◽

Cited By ~ 23

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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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 ◽

Cited By ~ 32

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 ◽

Cited By ~ 1

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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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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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 ◽

Cited By ~ 17

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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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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A posteriori error estimates of discontinuous Galerkin methods for non-standard Volterra integro-differential equations

IMA Journal of Numerical Analysis ◽

10.1093/imanum/dri024 ◽

2006 ◽

Vol 26 (1) ◽

pp. 78-95 ◽

Cited By ~ 8

Author(s):

Jingtang Ma ◽

Hermann Brunner

Keyword(s):

Differential Equations ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Galerkin Methods ◽

A Posteriori ◽

A Posteriori Error

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A Family of Characteristic Discontinuous Galerkin Methods for Transient Advection-Diffusion Equations and Their Optimal-Order L^2 Error Estimates

Communications in Computational Physics ◽

10.4208/cicp.2009.v6.p203 ◽

2009 ◽

pp. 203-230 ◽

Cited By ~ 8

Author(s):

Kaixin Wang ◽

Hong Wang ◽

Mohamed Al-Lawatia ◽

Hongxing Rui

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Equations ◽

Optimal Order ◽

Galerkin Methods ◽

Advection Diffusion

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Unconditional stability and optimal error estimates of discontinuous Galerkin methods for the second-order wave equation

Applicable Analysis ◽

10.1080/00036811.2019.1636968 ◽

2019 ◽

pp. 1-15 ◽

Cited By ~ 1

Author(s):

Limin He ◽

Weimin Han ◽

Fei Wang ◽

Wentao Cai

Keyword(s):

Wave Equation ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Unconditional Stability ◽

Second Order ◽

Optimal Error Estimates ◽

Galerkin Methods ◽

Optimal Error ◽

Second Order Wave Equation

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Pointwise error estimates for discontinuous Galerkin methods with lifting operators for elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-06-01823-0 ◽

2006 ◽

Vol 75 (255) ◽

pp. 1067-1086 ◽

Cited By ~ 3

Author(s):

Johnny Guzmán

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Galerkin Methods ◽

Pointwise Error ◽

Pointwise Error Estimates

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Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes

Mathematics of Computation ◽

10.1090/mcom/3605 ◽

2020 ◽

pp. 1

Author(s):

Zheng Sun ◽

Yulong Xing

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Wave Equations ◽

Discontinuous Galerkin Methods ◽

Unstructured Meshes ◽

Optimal Error Estimates ◽

Galerkin Methods ◽

Optimal Error

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