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ORCIDMahboub Baccouch
Person information
- affiliation: University of Nebraska at Omaha, Department of Mathematics, NE, USA
- affiliation (PhD 2008): Virginia Polytechnic Institute and State University, Department of Mathematics, Blacksburg, VA, USA
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Journal Articles
- 2025
[j30]Mahboub Baccouch:
Residual-based a posteriori error analysis of an ultra-weak discontinuous Galerkin method for nonlinear second-order initial-value problems. Numer. Algorithms 98(1): 373-404 (2025)- 2024
- [j29]Helmi Temimi
, Mohamed Ben-Romdhane, Mahboub Baccouch:
An efficient accurate scheme for solving the three-dimensional Bratu-type problem. Appl. Math. Comput. 461: 128316 (2024) - [j28]Mahboub Baccouch:
A posteriori error analysis of an ultra-weak local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems. Numer. Algorithms 97(4): 1895-1933 (2024) - 2023
- [j27]Mahboub Baccouch:
A superconvergent ultra-weak discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems. J. Appl. Math. Comput. 69(2): 1507-1539 (2023) - [j26]Mahboub Baccouch:
A superconvergent ultra-weak local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems. Numer. Algorithms 92(4): 1983-2023 (2023) - 2021
- [j25]Mahboub Baccouch, Helmi Temimi, Mohamed Ben-Romdhane:
A discontinuous Galerkin method for systems of stochastic differential equations with applications to population biology, finance, and physics. J. Comput. Appl. Math. 388: 113297 (2021) - [j24]Mahboub Baccouch, Helmi Temimi:
A high-order space-time ultra-weak discontinuous Galerkin method for the second-order wave equation in one space dimension. J. Comput. Appl. Math. 389: 113331 (2021) - [j23]Mahboub Baccouch:
Two Efficient and Reliable a posteriori Error Estimates for the Local Discontinuous Galerkin Method Applied to Linear Elliptic Problems on Cartesian Grids. J. Sci. Comput. 87(3): 76 (2021) - [j22]Mahboub Baccouch:
Analysis of optimal superconvergence of the local discontinuous Galerkin method for nonlinear fourth-order boundary value problems. Numer. Algorithms 86(4): 1615-1650 (2021) - 2020
- [j21]Mahboub Baccouch:
A posteriori error analysis of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension. J. Comput. Appl. Math. 366 (2020) - [j20]Mahboub Baccouch:
An adaptive local discontinuous Galerkin method for nonlinear two-point boundary-value problems. Numer. Algorithms 84(3): 1121-1153 (2020) - 2018
- [j19]Mahboub Baccouch:
A posteriori local discontinuous Galerkin error estimates for the one-dimensional sine-Gordon equation. Int. J. Comput. Math. 95(4): 815-844 (2018) - [j18]Mahboub Baccouch:
Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension. J. Comput. Appl. Math. 333: 292-313 (2018) - [j17]Mahboub Baccouch:
Asymptotically Exact Posteriori Error Estimates for the Local Discontinuous Galerkin Method Applied to Nonlinear Convection-Diffusion Problems. J. Sci. Comput. 76(3): 1868-1904 (2018) - [j16]Mahboub Baccouch:
A superconvergent local discontinuous Galerkin method for nonlinear two-point boundary-value problems. Numer. Algorithms 79(3): 697-718 (2018) - 2017
- [j15]Mahboub Baccouch:
Optimal energy-conserving local discontinuous Galerkin method for the one-dimensional sine-Gordon equation. Int. J. Comput. Math. 94(2): 316-344 (2017) - 2016
- [j14]Mahboub Baccouch, Bryan Johnson:
A high-order discontinuous Galerkin method for Itô stochastic ordinary differential equations. J. Comput. Appl. Math. 308: 138-165 (2016) - [j13]Mahboub Baccouch:
Recovery-Based Error Estimator for the Discontinuous Galerkin Method for Nonlinear Scalar Conservation Laws in One Space Dimension. J. Sci. Comput. 66(2): 459-476 (2016) - [j12]Mahboub Baccouch:
A Posteriori Error Analysis of the Discontinuous Galerkin Method for Two-Dimensional Linear Hyperbolic Conservation Laws on Cartesian Grids. J. Sci. Comput. 68(3): 945-974 (2016) - 2015
- [j11]Mahboub Baccouch:
Superconvergence and a posteriori error estimates of the DG method for scalar hyperbolic problems on Cartesian grids. Appl. Math. Comput. 265: 144-162 (2015) - [j10]Mahboub Baccouch, Slimane Adjerid:
A Posteriori Local Discontinuous Galerkin Error Estimation for Two-Dimensional Convection-Diffusion Problems. J. Sci. Comput. 62(2): 399-430 (2015) - 2014
- [j9]Mahboub Baccouch:
Asymptotically exact a posteriori LDG error estimates for one-dimensional transient convection-diffusion problems. Appl. Math. Comput. 226: 455-483 (2014) - [j8]Mahboub Baccouch:
Superconvergence and a posteriori error estimates for the LDG method for convection-diffusion problems in one space dimension. Comput. Math. Appl. 67(5): 1130-1153 (2014) - [j7]Mahboub Baccouch:
A superconvergent local discontinuous Galerkin method for the second-order wave equation on Cartesian grids. Comput. Math. Appl. 68(10): 1250-1278 (2014) - [j6]Mahboub Baccouch:
The Local Discontinuous Galerkin Method for the Fourth-Order Euler-Bernoulli Partial Differential Equation in One Space Dimension. Part I: Superconvergence Error Analysis. J. Sci. Comput. 59(3): 795-840 (2014) - [j5]Mahboub Baccouch:
The Local Discontinuous Galerkin Method for the Fourth-Order Euler-Bernoulli Partial Differential Equation in One Space Dimension. Part II: A Posteriori Error Estimation. J. Sci. Comput. 60(1): 1-34 (2014) - 2012
- [j4]Slimane Adjerid, Mahboub Baccouch:
A Superconvergent Local Discontinuous Galerkin Method for Elliptic Problems. J. Sci. Comput. 52(1): 113-152 (2012) - 2010
- [j3]Slimane Adjerid, Mahboub Baccouch:
Galerkin methods. Scholarpedia 5(10): 10056 (2010) - 2009
- [j2]Slimane Adjerid, Mahboub Baccouch:
The Discontinuous Galerkin Method for Two-dimensional Hyperbolic Problems Part II: A Posteriori Error Estimation. J. Sci. Comput. 38(1): 15-49 (2009) - 2007
- [j1]Slimane Adjerid, Mahboub Baccouch:
The Discontinuous Galerkin Method for Two-Dimensional Hyperbolic Problems. Part I: Superconvergence Error Analysis. J. Sci. Comput. 33(1): 75-113 (2007)
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