Approximation of Solutions of Stochastic Differential Equations by Discontinuous Galerkin Methods

W. Grecksch; A. Wadewitz

doi:10.4171/zaa/736

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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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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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 ◽

Cited By ~ 1

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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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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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 ◽

Cited By ~ 1

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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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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Discontinuous Galerkin methods for elliptic partial differential equations with random coefficients

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.784280 ◽

2013 ◽

Vol 90 (11) ◽

pp. 2477-2490 ◽

Cited By ~ 7

Author(s):

Kun Liu ◽

Béatrice M. Rivière

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Partial Differential Equations ◽

Random Coefficients ◽

Galerkin Methods ◽

Partial Differential

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Discontinuous Galerkin Methods for Hyperbolic Partial Differential Equations

Godunov Methods ◽

10.1007/978-1-4615-0663-8_92 ◽

2001 ◽

pp. 985-1005 ◽

Cited By ~ 3

Author(s):

J. J. W. Van Der Vegt ◽

H. Van Der Ven ◽

O. J. Boelens

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Partial Differential Equations ◽

Galerkin Methods ◽

Partial Differential

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Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics

Journal of Computational Physics ◽

10.1016/j.jcp.2012.02.033 ◽

2012 ◽

Vol 231 (18) ◽

pp. 5955-5988 ◽

Cited By ~ 69

Author(s):

N.C. Nguyen ◽

J. Peraire

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Discontinuous Galerkin ◽

Continuum Mechanics ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Partial Differential ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Methods

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