A stochastic local discontinuous Galerkin method for stochastic two-point boundary-value problems driven by additive noises

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.01.023 ◽

2018 ◽

Vol 128 ◽

pp. 43-64

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Boundary Value Problems ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Boundary Value ◽

Local Discontinuous Galerkin Method ◽

Point Boundary ◽

Local Discontinuous Galerkin

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A superconvergent local discontinuous Galerkin method for nonlinear two-point boundary-value problems

Numerical Algorithms ◽

10.1007/s11075-017-0456-0 ◽

2017 ◽

Vol 79 (3) ◽

pp. 697-718 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Boundary Value Problems ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Boundary Value ◽

Local Discontinuous Galerkin Method ◽

Point Boundary ◽

Local Discontinuous Galerkin

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An adaptive local discontinuous Galerkin method for nonlinear two-point boundary-value problems

Numerical Algorithms ◽

10.1007/s11075-019-00794-8 ◽

2019 ◽

Vol 84 (3) ◽

pp. 1121-1153

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Boundary Value Problems ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Boundary Value ◽

Local Discontinuous Galerkin Method ◽

Point Boundary ◽

Local Discontinuous Galerkin

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Analysis of optimal superconvergence of a local discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.05.003 ◽

2019 ◽

Vol 145 ◽

pp. 361-383 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Boundary Value Problems ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Boundary Value ◽

Local Discontinuous Galerkin Method ◽

Second Order ◽

Point Boundary ◽

Local Discontinuous Galerkin

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Analysis of optimal superconvergence of the local discontinuous Galerkin method for nonlinear fourth-order boundary value problems

Numerical Algorithms ◽

10.1007/s11075-020-00947-0 ◽

2020 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Boundary Value Problems ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fourth Order ◽

Boundary Value ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin

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An $hp$-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of nonmonotone type

Mathematics of Computation ◽

10.1090/s0025-5718-07-02047-9 ◽

2007 ◽

Vol 77 (262) ◽

pp. 731-757 ◽

Author(s):

Thirupathi Gudi ◽

Neela Nataraj ◽

Amiya K. Pani

Keyword(s):

Galerkin Method ◽

Boundary Value Problems ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Boundary ◽

Local Discontinuous Galerkin Method ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Local Discontinuous Galerkin ◽

Quasilinear Elliptic

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Superconvergence of discontinuous Galerkin method with interior penalties for singularly perturbed two-point boundary-value problems

CALCOLO ◽

10.1007/s10092-018-0297-9 ◽

2018 ◽

Vol 55 (4) ◽

Author(s):

Gautam Singh ◽

Srinivasan Natesan

Keyword(s):

Galerkin Method ◽

Boundary Value Problems ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary ◽

Interior Penalties

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Convergence and Superconvergence of the Local Discontinuous Galerkin Method for Semilinear Second-Order Elliptic Problems on Cartesian Grids

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-021-00123-8 ◽

2021 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Local Discontinuous Galerkin Method ◽

Second Order ◽

Cartesian Grids ◽

Local Discontinuous Galerkin ◽

Convergence And Superconvergence ◽

Second Order Elliptic Problems

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Solving a non-linear fractional convection-diffusion equation using local discontinuous Galerkin method

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.003 ◽

2021 ◽

Vol 165 ◽

pp. 22-34

Author(s):

Hamid Safdari ◽

Majid Rajabzadeh ◽

Moein Khalighi

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Local Discontinuous Galerkin ◽

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Local discontinuous Galerkin method for distributed‐order time‐fractional diffusion‐wave equation: Application of Laplace transform

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7077 ◽

2020 ◽

Author(s):

Hadi Mohammadi‐Firouzjaei ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Wave Equation ◽

Laplace Transform ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Local Discontinuous Galerkin ◽

Distributed Order

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A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher's equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.866233 ◽

2014 ◽

Vol 91 (9) ◽

pp. 2021-2038 ◽

Author(s):

Xindong Zhang ◽

Yinnian He ◽

Leilei Wei ◽

Bo Tang ◽

Shaoli Wang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

One Dimensional ◽

Fisher’S Equation ◽

Fully Discrete ◽

Local Discontinuous Galerkin ◽

Fisher's Equation

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