Mohamed, Kamel; Sahmim, Slah; Benkhaldoun, Fayssal; Abdelrahman, Mahmoud A. E. Some recent finite volume schemes for one and two layers shallow water equations with variable density. (English) Zbl 1528.76051 Math. Methods Appl. Sci. 46, No. 12, 12979-12995 (2023). MSC: 76M12 65M08 35Q35 76B15 PDFBibTeX XMLCite \textit{K. Mohamed} et al., Math. Methods Appl. Sci. 46, No. 12, 12979--12995 (2023; Zbl 1528.76051) Full Text: DOI
Mohamed, Kamel; Omar, Y.; Abdelrahman, Mahmoud A. E. Simulating the dusty gas flow model via NHRS scheme. (English) Zbl 07789808 Math. Methods Appl. Sci. 46, No. 16, 16802-16811 (2023). MSC: 65M08 35L55 35L67 62P30 76T15 76M12 PDFBibTeX XMLCite \textit{K. Mohamed} et al., Math. Methods Appl. Sci. 46, No. 16, 16802--16811 (2023; Zbl 07789808) Full Text: DOI
Mohamed, Kamel; Abdelrahman, Mahmoud A. E. The NHRS scheme for the two models of traffic flow. (English) Zbl 1524.35377 Comput. Appl. Math. 42, No. 1, Paper No. 53, 17 p. (2023). MSC: 35L60 35L65 76M12 86A05 76A30 90B20 PDFBibTeX XMLCite \textit{K. Mohamed} and \textit{M. A. E. Abdelrahman}, Comput. Appl. Math. 42, No. 1, Paper No. 53, 17 p. (2023; Zbl 1524.35377) Full Text: DOI
Russo, Antonio; Perez, Sergio P.; Durán-Olivencia, Miguel A.; Yatsyshin, Peter; Carrillo, José A.; Kalliadasis, Serafim A finite-volume method for fluctuating dynamical density functional theory. (English) Zbl 07511405 J. Comput. Phys. 428, Article ID 109796, 26 p. (2021). MSC: 82-XX 65-XX PDFBibTeX XMLCite \textit{A. Russo} et al., J. Comput. Phys. 428, Article ID 109796, 26 p. (2021; Zbl 07511405) Full Text: DOI arXiv Link
Mohamed, Kamel; Abdelrahman, Mahmoud A. E. The modified Rusanov scheme for solving the ultra-relativistic Euler equations. (English) Zbl 1497.65146 Eur. J. Mech., B, Fluids 90, 89-98 (2021). Reviewer: Victor Michel-Dansac (Strasbourg) MSC: 65M08 65M06 35L45 35L65 35L67 76Y05 76L05 76N15 35Q31 PDFBibTeX XMLCite \textit{K. Mohamed} and \textit{M. A. E. Abdelrahman}, Eur. J. Mech., B, Fluids 90, 89--98 (2021; Zbl 1497.65146) Full Text: DOI
Dotti, Sylvain; Vovelle, Julien Convergence of the finite volume method for scalar conservation laws with multiplicative noise: an approach by kinetic formulation. (English) Zbl 1446.65089 Stoch. Partial Differ. Equ., Anal. Comput. 8, No. 2, 265-310 (2020). MSC: 65M08 35L60 35L65 35R60 60H15 65M12 65C30 60G57 PDFBibTeX XMLCite \textit{S. Dotti} and \textit{J. Vovelle}, Stoch. Partial Differ. Equ., Anal. Comput. 8, No. 2, 265--310 (2020; Zbl 1446.65089) Full Text: DOI arXiv
Baccouch, Mahboub; Temimi, Helmi; Ben-Romdhane, Mohamed The discontinuous Galerkin method for stochastic differential equations driven by additive noises. (English) Zbl 1441.65012 Appl. Numer. Math. 152, 285-309 (2020). MSC: 65C30 65L60 60H10 PDFBibTeX XMLCite \textit{M. Baccouch} et al., Appl. Numer. Math. 152, 285--309 (2020; Zbl 1441.65012) Full Text: DOI
Dotti, Sylvain; Vovelle, Julien Convergence of approximations to stochastic scalar conservation laws. (English) Zbl 1397.65016 Arch. Ration. Mech. Anal. 230, No. 2, 539-591 (2018). MSC: 65C30 35R60 60G57 35A02 60H15 35L65 65M08 PDFBibTeX XMLCite \textit{S. Dotti} and \textit{J. Vovelle}, Arch. Ration. Mech. Anal. 230, No. 2, 539--591 (2018; Zbl 1397.65016) Full Text: DOI arXiv HAL
Zahri, Mostafa Barycentric interpolation of interface solution for solving stochastic partial differential equations on non-overlapping subdomains with additive multi-noises. (English) Zbl 1390.35165 Int. J. Comput. Math. 95, No. 4, 645-685 (2018). MSC: 35K57 35R60 60H15 60H35 PDFBibTeX XMLCite \textit{M. Zahri}, Int. J. Comput. Math. 95, No. 4, 645--685 (2018; Zbl 1390.35165) Full Text: DOI
Mohamed, Kamel A finite volume method for numerical simulation of shallow water models with porosity. (English) Zbl 1391.76431 Comput. Fluids 104, 9-19 (2014). MSC: 76M12 65M08 76D05 PDFBibTeX XMLCite \textit{K. Mohamed}, Comput. Fluids 104, 9--19 (2014; Zbl 1391.76431) Full Text: DOI