A discontinuous Galerkin method for systems of stochastic differential equations with applications to population biology, finance, and physics

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113297 ◽

2021 ◽

Vol 388 ◽

pp. 113297

Author(s):

Mahboub Baccouch ◽

Helmi Temimi ◽

Mohamed Ben-Romdhane

Keyword(s):

Differential Equations ◽

Galerkin Method ◽

Stochastic Differential Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Population Biology

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The discontinuous Galerkin method for stochastic differential equations driven by additive noises

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.11.020 ◽

2020 ◽

Vol 152 ◽

pp. 285-309 ◽

Author(s):

Mahboub Baccouch ◽

Helmi Temimi ◽

Mohamed Ben-Romdhane

Keyword(s):

Differential Equations ◽

Galerkin Method ◽

Stochastic Differential Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method

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Local discontinuous Galerkin method for time variable order fractional differential equations with sub-diffusion and super-diffusion

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.07.015 ◽

2020 ◽

Vol 157 ◽

pp. 602-618

Author(s):

M. Ahmadinia ◽

Z. Safari ◽

M. Abbasi

Keyword(s):

Differential Equations ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fractional Differential Equations ◽

Local Discontinuous Galerkin Method ◽

Time Variable ◽

Variable Order ◽

Local Discontinuous Galerkin ◽

Fractional Differential

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Stability analysis of discontinuous Galerkin method for stiff Volterra functional differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.03.013 ◽

2019 ◽

Vol 475 (2) ◽

pp. 1293-1303 ◽

Author(s):

Gengen Zhang ◽

Guoman He ◽

Xinjie Dai

Keyword(s):

Stability Analysis ◽

Differential Equations ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Functional Differential Equations ◽

Functional Differential

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Analysis of a posteriori error estimates of the discontinuous Galerkin method for nonlinear ordinary differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.03.008 ◽

2016 ◽

Vol 106 ◽

pp. 129-153 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Differential Equations ◽

Galerkin Method ◽

Ordinary Differential Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Nonlinear Ordinary Differential Equations ◽

A Posteriori ◽

A Posteriori Error

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An adaptive discontinuous Galerkin method for very stiff systems of ordinary differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.04.011 ◽

2019 ◽

Vol 358 ◽

pp. 330-347

Author(s):

A. Fortin ◽

D. Yakoubi

Keyword(s):

Differential Equations ◽

Galerkin Method ◽

Ordinary Differential Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

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Superconvergence of Discontinuous Galerkin Method to Nonlinear Differential equations

10.5176/2251-1911_cmcgs14.24 ◽

2014 ◽

Author(s):

Helmi Temimi

Keyword(s):

Differential Equations ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nonlinear Differential Equations

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Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method

Mathematics of Computation ◽

10.1090/s0025-5718-98-00883-7 ◽

1998 ◽

Vol 67 (221) ◽

pp. 45-71 ◽

Author(s):

Stig Larsson ◽

Vidar Thomée ◽

Lars B. Wahlbin

Keyword(s):

Differential Equations ◽

Galerkin Method ◽

Numerical Solution ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method

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A Superconvergent discontinuous Galerkin method for Volterra integro-differential equations, smooth and non-smooth kernels

Mathematics of Computation ◽

10.1090/s0025-5718-2013-02689-0 ◽

2013 ◽

Vol 82 (284) ◽

pp. 1987-2005 ◽

Author(s):

Kassem Mustapha

Keyword(s):

Differential Equations ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

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Error analysis of a discontinuous Galerkin method for systems of higher-order differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.10.059 ◽

2013 ◽

Vol 219 (9) ◽

pp. 4503-4525 ◽

Author(s):

Helmi Temimi ◽

Slimane Adjerid

Keyword(s):

Differential Equations ◽

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Higher Order ◽

Higher Order Differential Equations

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Superconvergence of the discontinuous Galerkin method for nonlinear second-order initial-value problems for ordinary differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.01.007 ◽

2017 ◽

Vol 115 ◽

pp. 160-179 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Differential Equations ◽

Galerkin Method ◽

Ordinary Differential Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Initial Value Problems ◽

Second Order ◽

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