The Discontinuous Galerkin Method for Two-Dimensional Hyperbolic Problems. Part I: Superconvergence Error Analysis. - Slimane Adjerid; Mahboub Baccouch (J. Sci. Comput., 2007)

The Discontinuous Galerkin Method for Two-dimensional Hyperbolic Problems Part II: A Posteriori Error Estimation. - Slimane Adjerid; Mahboub Baccouch (J. Sci. Comput., 2009)

Galerkin methods. - Slimane Adjerid; Mahboub Baccouch (Scholarpedia, 2010)

A Superconvergent Local Discontinuous Galerkin Method for Elliptic Problems. - Slimane Adjerid; Mahboub Baccouch (J. Sci. Comput., 2012)

Asymptotically exact a posteriori LDG error estimates for one-dimensional transient convection-diffusion problems. - Mahboub Baccouch (Appl. Math. Comput., 2014)

Superconvergence and a posteriori error estimates for the LDG method for convection-diffusion problems in one space dimension. - Mahboub Baccouch (Comput. Math. Appl., 2014)

A superconvergent local discontinuous Galerkin method for the second-order wave equation on Cartesian grids. - Mahboub Baccouch (Comput. Math. Appl., 2014)

The Local Discontinuous Galerkin Method for the Fourth-Order Euler-Bernoulli Partial Differential Equation in One Space Dimension. Part I: Superconvergence Error Analysis. - Mahboub Baccouch (J. Sci. Comput., 2014)

The Local Discontinuous Galerkin Method for the Fourth-Order Euler-Bernoulli Partial Differential Equation in One Space Dimension. Part II: A Posteriori Error Estimation. - Mahboub Baccouch (J. Sci. Comput., 2014)

Superconvergence and a posteriori error estimates of the DG method for scalar hyperbolic problems on Cartesian grids. - Mahboub Baccouch (Appl. Math. Comput., 2015)

A Posteriori Local Discontinuous Galerkin Error Estimation for Two-Dimensional Convection-Diffusion Problems. - Mahboub Baccouch; Slimane Adjerid (J. Sci. Comput., 2015)

A high-order discontinuous Galerkin method for Itô stochastic ordinary differential equations. - Mahboub Baccouch; Bryan Johnson (J. Comput. Appl. Math., 2016)

Recovery-Based Error Estimator for the Discontinuous Galerkin Method for Nonlinear Scalar Conservation Laws in One Space Dimension. - Mahboub Baccouch (J. Sci. Comput., 2016)

A Posteriori Error Analysis of the Discontinuous Galerkin Method for Two-Dimensional Linear Hyperbolic Conservation Laws on Cartesian Grids. - Mahboub Baccouch (J. Sci. Comput., 2016)

Optimal energy-conserving local discontinuous Galerkin method for the one-dimensional sine-Gordon equation. - Mahboub Baccouch (Int. J. Comput. Math., 2017)

A posteriori local discontinuous Galerkin error estimates for the one-dimensional sine-Gordon equation. - Mahboub Baccouch (Int. J. Comput. Math., 2018)

Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension. - Mahboub Baccouch (J. Comput. Appl. Math., 2018)

Asymptotically Exact Posteriori Error Estimates for the Local Discontinuous Galerkin Method Applied to Nonlinear Convection-Diffusion Problems. - Mahboub Baccouch (J. Sci. Comput., 2018)

A superconvergent local discontinuous Galerkin method for nonlinear two-point boundary-value problems. - Mahboub Baccouch (Numer. Algorithms, 2018)

A posteriori error analysis of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension. - Mahboub Baccouch (J. Comput. Appl. Math., 2020)

An adaptive local discontinuous Galerkin method for nonlinear two-point boundary-value problems. - Mahboub Baccouch (Numer. Algorithms, 2020)

A high-order space-time ultra-weak discontinuous Galerkin method for the second-order wave equation in one space dimension. - Mahboub Baccouch; Helmi Temimi (J. Comput. Appl. Math., 2021)

A discontinuous Galerkin method for systems of stochastic differential equations with applications to population biology, finance, and physics. - Mahboub Baccouch; Helmi Temimi; Mohamed Ben-Romdhane (J. Comput. Appl. Math., 2021)

Two Efficient and Reliable a posteriori Error Estimates for the Local Discontinuous Galerkin Method Applied to Linear Elliptic Problems on Cartesian Grids. - Mahboub Baccouch (J. Sci. Comput., 2021)

Analysis of optimal superconvergence of the local discontinuous Galerkin method for nonlinear fourth-order boundary value problems. - Mahboub Baccouch (Numer. Algorithms, 2021)

A superconvergent ultra-weak discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems. - Mahboub Baccouch (J. Appl. Math. Comput., 2023)

A superconvergent ultra-weak local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems. - Mahboub Baccouch (Numer. Algorithms, 2023)

An efficient accurate scheme for solving the three-dimensional Bratu-type problem. - Helmi Temimi; Mohamed Ben-Romdhane; Mahboub Baccouch (Appl. Math. Comput., 2024)

A posteriori error analysis of an ultra-weak local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems. - Mahboub Baccouch (Numer. Algorithms, 2024)

Residual-based a posteriori error analysis of an ultra-weak discontinuous Galerkin method for nonlinear second-order initial-value problems. - Mahboub Baccouch (Numer. Algorithms, 2025)