Staff profile

Dr Mohammed Seaid is an Associate Professor in the School of Engineering and Computing Sciences, Durham University. His doctoral research focused on the design and analysis of numerical methods for simulating the radiative heat transfer equations in gas turbine combustion chambers. His post-doctoral research was conducted in the area of numerical modelling of coupled radiation and hydrodynamics using simplified PN approximations, M1 entropy models and nonlinear multilevel methods.

Along with Prof. Axel Klar (in the Fraunhofer Institut Techno- und Wirtschaftsmathematik at Kaiserslautern, Germany), he has been developping efficient models for radiation and conduction in high temperature gas flows. The general research results have wide applicability within engineering. Since 2001, much of his research work has been undertaken within the SFB 568 Research Group, a strongly collaborative group of mechanical engineers and distributed computing researchers at the universities of Darmstadt, Heidelberg, and Kaiserslautern.

At present he teaches L3 Hydraulics, L3 Dynamics, and L4 Hydrology.

Research Interests

• Shallow water flows
• Transport of suspended sediments
• Tidal flows and currents
• Scientific computing
• Computational radiative heat transfer
• Lattice Boltzmann and discrete-velocity methods
• Modified method of characteristics

Authored book

• Mathematical Models and Numerical Methods for Radiation Hydrodynamics: Relaxation Schemes and Multilevel Algorithms
  
  Seaid, M. (2004). Mathematical Models and Numerical Methods for Radiation Hydrodynamics:Relaxation Schemes and Multilevel Algorithms. Shaker Verlag GmbH.

Chapter in book

• Efficient Experimental and Numerical Methods for Solving Vertical Distribution of Sediments in Dam-Break Flows
  
  Rowan, T., & Seaid, M. (2022). Efficient Experimental and Numerical Methods for Solving Vertical Distribution of Sediments in Dam-Break Flows. In D. Zeidan, J. Merker, E. Goncalves Da Silva, & L. T. Zhang (Eds.), Numerical Fluid Dynamics (pp. 291-317). Springer Nature. https://doi.org/10.1007/978-981-16-9665-7_10
• Uncertainty Quantification of Bathymetric Effects in a Two-Layer Shallow Water Model: Case of the Gibraltar Strait
  
  El Moçayd, N., Alghosoun, A., Ouazar, D., & Seaid, M. (2020). Uncertainty Quantification of Bathymetric Effects in a Two-Layer Shallow Water Model: Case of the Gibraltar Strait. In Advances in Hydroinformatics. https://doi.org/10.1007/978-981-15-5436-0_61

Conference Paper

• Incompressible Navier-Stokes equation solvers based on lattice Boltzmann relaxation systems.
  
  Banda, M., Seaid, M., & Teleaga, I. (2008). Incompressible Navier-Stokes equation solvers based on lattice Boltzmann relaxation systems. In Special Issue:Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007 (pp. 2100001-2100002). https://doi.org/10.1002/pamm.200700010
• Simplified PN Models and Natural Convection-Radiation.
  
  Pinnau, R., & Seaid, M. (2008). Simplified PN Models and Natural Convection-Radiation. In L. L. Bonilla, M. Moscoso, G. Platero, & J. M. Vega (Eds.), Progress in Industrial Mathematics at ECMI 2006 (pp. 397-401). Springer Verlag.
• A Monte Carlo method for the Broadwell model with relaxation.
  
  Seaid, M. (2005). A Monte Carlo method for the Broadwell model with relaxation. In GAMM Annual Meeting – Luxembourg 2005 Overview of the Sessions (pp. 691-692). https://doi.org/10.1002/pamm.200510321
• Animating Water Waves Using Semi-Lagrangian Techniques.
  
  El-Amrani, M., & Seaid, M. (2005). Animating Water Waves Using Semi-Lagrangian Techniques. In A. . D. Bucchianico, R. M. M. Mattheij, & M. A. Peletier (Eds.), Progress in Industrial Mathematics at ECMI 2004 (pp. 494-498).
• Multigrid Solution of Three-Dimensional Radiative Heat Transfer in Glass Manufacturing.
  
  Seaid, M., & Klar, A. (2005). Multigrid Solution of Three-Dimensional Radiative Heat Transfer in Glass Manufacturing. In A. . D. Bucchianico, R. M. M. Mattheij, & M. A. Peletier (Eds.), Progress in Industrial Mathematics 2004 (pp. 283-287). https://doi.org/10.1007/3-540-28073-1_44
• Numerical Relaxed Solution of the Dam-Break Flows without Riemann Problem Solvers.
  
  Seaid, M. (2005). Numerical Relaxed Solution of the Dam-Break Flows without Riemann Problem Solvers. In W. Yongqi & H. Kolumban (Eds.), Trends in Applications of Mathematics to Mechanics (pp. 473-482).
• Finite Element Modified Method of Characteristics for Shallow Water Flows: Application to the Strait of Gibraltar.
  
  González, M., & Seaid, M. (2005). Finite Element Modified Method of Characteristics for Shallow Water Flows: Application to the Strait of Gibraltar. In A. Di Bucchianico, R. M. M. Mattheij, & M. A. Peletier (Eds.), Progress in Industrial Mathematics at ECMI 2004 (pp. 283-287). https://doi.org/10.1007/3-540-28073-1_78
• Recent Advances in Semi-Lagrangian Modelling of Flow Through the Strait of Gibraltar.
  
  Seaid, M., El-Amrani, M., & Machmoum, A. (2004). Recent Advances in Semi-Lagrangian Modelling of Flow Through the Strait of Gibraltar. In M. Bubak, G. D. van Albada, P. M. A. Sloot, & J. Dongarra (Eds.), International Conference on Computational Science 2004 (pp. 89-96). https://doi.org/10.1007/978-3-540-24687-9_12
• A New Monte Carlo Approach for Conservation Laws and Relaxation Systems.
  
  Pareschi, L., & Seaid, M. (2004). A New Monte Carlo Approach for Conservation Laws and Relaxation Systems. In M. Bubak, G. D. van Albada, P. M. . A. Sloot, & J. Dongarra (Eds.), Computational Science - ICCS 2004 (pp. 276-283). Springer Verlag. https://doi.org/10.1007/978-3-540-24687-9_35
• A multigrid discrete-ordinates solution for isotropic transport equation.
  
  Seaid, M. (2004). A multigrid discrete-ordinates solution for isotropic transport equation. In GAMM Annual Meeting – Dresden 2004 (pp. 494-495). https://doi.org/10.1002/pamm.200410228
• Generalized numerical approximations for the radiative heat transfer problems in two space dimensions.
  
  Seaid, M., & Klar, A. (2003). Generalized numerical approximations for the radiative heat transfer problems in two space dimensions. In Proceedings of Eurotherm73 on Computational Thermal Radiation in Participating Media. (pp. 419-429).
• Efficient Preconditioning of Linear Systems Arising from the Discretization of Radiative Transfer Equation.
  
  Klar, A., & Seaid, M. (2003). Efficient Preconditioning of Linear Systems Arising from the Discretization of Radiative Transfer Equation. In E. Bänsch (Ed.), Challenges in Scientific Computing - CISC 2002 (pp. 211-236). https://doi.org/10.1007/978-3-642-19014-8_10
• A Class of the Relaxation Schemes for Two-Dimensional Euler Systems of Gas Dynamics.
  
  Banda, M., & Seaid, M. (2002). A Class of the Relaxation Schemes for Two-Dimensional Euler Systems of Gas Dynamics. In P. M. . A. Sloot, C. J. K. Tan, J. Dongarra, & A. G. Hoekstra (Eds.), Proceedings of the International Conference on Computational Science-Part I (pp. 930-939). Springer Verlag. https://doi.org/10.5555/645457.655162
• High-Order Relaxation Methods for Incompressible Navier-Stokes Equations.
  
  Seaid, M., & Klar, A. (2001). High-Order Relaxation Methods for Incompressible Navier-Stokes Equations. In F. Brezzi, A. Buffa, S. Corsaro, & A. Murli (Eds.), Proceedings of ENUMATH 2001 the 4th European Conference on Numerical Mathematics and Advanced Applications Ischia, July 2001 (pp. 111-121). Springer Verlag. https://doi.org/10.1007/978-88-470-2089-4_10

Conference Proceeding

• UKACM Proceedings 2024
  
  Coombs, W. M. (Ed.). (2024). UKACM Proceedings 2024. UK Association for Computational Mechanics and Durham University. https://doi.org/10.62512/conf.ukacm2024

Edited book

• Proceedings of Hispano-Moroccan Days on Applied Mathematics and Statistics.
  
  Seaid, M., El-Amrani, M., & Yebari, N. (Eds.). (2008). Proceedings of Hispano-Moroccan Days on Applied Mathematics and Statistics. Universidad Rey Juan Carlos.

Journal Article

• Unsupervised stochastic learning and reduced order modelling for global sensitivity analysis in cardiac electrophysiology models
  
  El Moçayd, N., Belhamadia, Y., & Seaid, M. (in press). Unsupervised stochastic learning and reduced order modelling for global sensitivity analysis in cardiac electrophysiology models. Computer Methods and Programs in Biomedicine.
• A reduced model for phase-change problems with radiation using simplified PN approximations
  
  Belhamadia, Y., & Seaid, M. (2025). A reduced model for phase-change problems with radiation using simplified PN approximations. Applied Mathematical Modelling, 145, Article 116108. https://doi.org/10.1016/j.apm.2025.116108
• A novel approach for modelling stress fields induced by shallow water flows on movable beds
  
  Al-Ghosoun, A., Seaid, M., & Osman, A. S. (2025). A novel approach for modelling stress fields induced by shallow water flows on movable beds. Applied Mathematical Modelling, 142, Article 115960. https://doi.org/10.1016/j.apm.2025.115960
• A stable second-order splitting method for incompressible Navier–Stokes equations using the scalar auxiliary variable approach
  
  Obbadi, A., El-Amrani, M., Seaid, M., & Yakoubi, D. (2025). A stable second-order splitting method for incompressible Navier–Stokes equations using the scalar auxiliary variable approach. Computer Methods in Applied Mechanics and Engineering, 437, Article 117801. https://doi.org/10.1016/j.cma.2025.117801
• A fractional time-stepping method for unsteady thermal convection in non-Newtonian fluids
  
  El-Amrani, M., Obbadi, A., Seaid, M., & Yakoubi, D. (2025). A fractional time-stepping method for unsteady thermal convection in non-Newtonian fluids. Communications in Nonlinear Science and Numerical Simulation, 140, Article 108350. https://doi.org/10.1016/j.cnsns.2024.108350
• Modelling and simulation of radiative heat transfer in non-grey absorbing and emitting media under phase change
  
  Moutahir, F.-E., Belhamadia, Y., Seaid, M., & El-Amrani, M. (2024). Modelling and simulation of radiative heat transfer in non-grey absorbing and emitting media under phase change. Computers & Mathematics With Applications, 176, 432-446. https://doi.org/10.1016/j.camwa.2024.11.005
• High-order spline finite element method for solving time-dependent electromagnetic waves
  
  El-Barkani, I., El-Hadouti, I., Addam, M., & Seaid, M. (2024). High-order spline finite element method for solving time-dependent electromagnetic waves. Applied Numerical Mathematics, 206, 48-74. https://doi.org/10.1016/j.apnum.2024.08.002
• Machine Learning-Based Modeling for Structural Engineering: A Comprehensive Survey and Applications Overview
  
  Etim, B., Al-Ghosoun, A., Renno, J., Seaid, M., & Mohamed, M. S. (2024). Machine Learning-Based Modeling for Structural Engineering: A Comprehensive Survey and Applications Overview. Buildings, 14(11), Article 3515. https://doi.org/10.3390/buildings14113515
• Modelling and simulation of pollution transport in the Mediterranean Sea using enriched finite element method
  
  El-Amrani, M., Ouardghi, A., & Seaid, M. (2024). Modelling and simulation of pollution transport in the Mediterranean Sea using enriched finite element method. Mathematics and Computers in Simulation, 223, 565-587. https://doi.org/10.1016/j.matcom.2024.04.028
• Future projection of droughts in Morocco and potential impact on agriculture
  
  Gumus, V., El Moçayd, N., Seker, M., & Seaid, M. (2024). Future projection of droughts in Morocco and potential impact on agriculture. Journal of Environmental Management, 367, Article 122019. https://doi.org/10.1016/j.jenvman.2024.122019
• A time viscosity-splitting method for incompressible flows with temperature-dependent viscosity and thermal conductivity
  
  El-Amrani, M., Obbadi, A., Seaid, M., & Yakoubi, D. (2024). A time viscosity-splitting method for incompressible flows with temperature-dependent viscosity and thermal conductivity. Computer Methods in Applied Mechanics and Engineering, 429, Article 117103. https://doi.org/10.1016/j.cma.2024.117103
• An improved splitting algorithm for unsteady generalized Newtonian fluid flow problems with natural boundary conditions
  
  Obbadi, A., El-Amrani, M., Seaid, M., & Yakoubi, D. (2024). An improved splitting algorithm for unsteady generalized Newtonian fluid flow problems with natural boundary conditions. Computers and Mathematics With Applications, 167, 92-109. https://doi.org/10.1016/j.camwa.2024.05.010
• Climate-informed flood risk mapping using a GAN-based approach (ExGAN)
  
  Belhajjam, R., Chaqdid, A., Yebari, N., Seaid, M., & Moçayd, N. E. (2024). Climate-informed flood risk mapping using a GAN-based approach (ExGAN). Journal of Hydrology, 638, Article 131487. https://doi.org/10.1016/j.jhydrol.2024.131487
• Directional enrichment functions for finite element solutions of transient anisotropic diffusion
  
  Bahssini, A., Izem, N., Mohamed, M. S., & Seaid, M. (2024). Directional enrichment functions for finite element solutions of transient anisotropic diffusion. Computers & Mathematics With Applications, 163, 42-55. https://doi.org/10.1016/j.camwa.2024.03.016
• A fully coupled dynamic water-mooring line system: Numerical implementation and applications
  
  Zheng, X., Seaid, M., & Osman, A. S. (2024). A fully coupled dynamic water-mooring line system: Numerical implementation and applications. Ocean Engineering, 294, Article 116792. https://doi.org/10.1016/j.oceaneng.2024.116792
• High-order methods for thermal behavior of plate structures with internal heat sources
  
  Bouna, R., Izem, N., Seaid, M., & Mohamed, M. S. (2024). High-order methods for thermal behavior of plate structures with internal heat sources. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 238(3), 624-641. https://doi.org/10.1177/09544062221141571
• A mixed finite element method for nonlinear radiation–conduction equations in optically thick anisotropic media
  
  Belhamadia, Y., & Seaid, M. (2024). A mixed finite element method for nonlinear radiation–conduction equations in optically thick anisotropic media. Mathematics and Computers in Simulation, 216, 15-29. https://doi.org/10.1016/j.matcom.2023.08.031
• Error estimates for a viscosity-splitting scheme in time applied to non-Newtonian fluid flows
  
  El-Amrani, M., Obbadi, A., Seaid, M., & Yakoubi, D. (2024). Error estimates for a viscosity-splitting scheme in time applied to non-Newtonian fluid flows. Computer Methods in Applied Mechanics and Engineering, 419, Article 116639. https://doi.org/10.1016/j.cma.2023.116639
• Convergence analysis of a class of iterative methods for propagation of reaction fronts in porous media
  
  Salhi, L., Seaid, M., & Yakoubi, D. (2024). Convergence analysis of a class of iterative methods for propagation of reaction fronts in porous media. Computer Methods in Applied Mechanics and Engineering, 418(Part A), Article 116524. https://doi.org/10.1016/j.cma.2023.116524
• Computing enhancement of the nonlinear SPN approximations of radiative heat transfer in participating material
  
  Belhamadia, Y., & Seaid, M. (2023). Computing enhancement of the nonlinear SPN approximations of radiative heat transfer in participating material. Journal of Computational and Applied Mathematics, 434, Article 115342. https://doi.org/10.1016/j.cam.2023.115342
• A material point/finite volume method for coupled shallow water flows and large dynamic deformations in seabeds
  
  Zheng, X., Seaid, M., Pisanò, F., Hicks, M. A., Vardon, P. J., Huvaj, N., & Osman, A. S. (2023). A material point/finite volume method for coupled shallow water flows and large dynamic deformations in seabeds. Computers and Geotechnics, 162(October), Article 105673. https://doi.org/10.1016/j.compgeo.2023.105673
• Evaluation of future temperature and precipitation projections in Morocco using the ANN-based multi-model ensemble from CMIP6
  
  Gumus, V., El Moçayd, N., Seker, M., & Seaid, M. (2023). Evaluation of future temperature and precipitation projections in Morocco using the ANN-based multi-model ensemble from CMIP6. Atmospheric Research, 292, Article 106880. https://doi.org/10.1016/j.atmosres.2023.106880
• A new Runge–Kutta–Chebyshev Galerkin-characteristic finite element method for advection–dispersion problems in anisotropic porous media
  
  El-Amrani, M., Salhi, L., & Seaid, M. (2023). A new Runge–Kutta–Chebyshev Galerkin-characteristic finite element method for advection–dispersion problems in anisotropic porous media. Mathematics and Computers in Simulation, 210, 184-206. https://doi.org/10.1016/j.matcom.2023.01.032
• A priori error estimates for a semi‐Lagrangian unified finite element method for coupled Darcy‐transport problems
  
  Salhi, L., El‐Amrani, M., & Seaid, M. (2023). A priori error estimates for a semi‐Lagrangian unified finite element method for coupled Darcy‐transport problems. Numerical Methods for Partial Differential Equations, 39(4), 3441-3472. https://doi.org/10.1002/num.23014
• Investigating recent changes in the wind speed trends over Turkey
  
  Gumus, V., Simsek, O., & Seaid, M. (2023). Investigating recent changes in the wind speed trends over Turkey. Acta Geophysica, 71, 1305-1319. https://doi.org/10.1007/s11600-022-01011-2
• An iterative scheme for solving a coupled Darcy–convection–diffusion model
  
  El-Amrani, M., Salhi, L., Seaid, M., & Yakoubi, D. (2023). An iterative scheme for solving a coupled Darcy–convection–diffusion model. Journal of Mathematical Analysis and Applications, 517(2), Article 126603. https://doi.org/10.1016/j.jmaa.2022.126603
• Simplified finite element approximations for coupled natural convection and radiation heat transfer
  
  Albadr, J., El-Amrani, M., & Seaid, M. (2023). Simplified finite element approximations for coupled natural convection and radiation heat transfer. Numerical Heat Transfer, Part A: Applications, 83(5), 478-502. https://doi.org/10.1080/10407782.2022.2091897
• Novel adaptive finite volume method on unstructured meshes for time-domain wave scattering and diffraction
  
  Ghoudi, T., Mohamed, M. S., & Seaid, M. (2023). Novel adaptive finite volume method on unstructured meshes for time-domain wave scattering and diffraction. Computers & Mathematics With Applications, 141. https://doi.org/10.1016/j.camwa.2023.03.025
• A fast and accurate method for transport and dispersion of phosphogypsum in coastal zones: Application to Jorf Lasfar
  
  Ouardghi, A., Seaid, M., El‐Amrani, M., & El Mocayd, N. (2023). A fast and accurate method for transport and dispersion of phosphogypsum in coastal zones: Application to Jorf Lasfar. International Journal for Numerical Methods in Fluids, 96(3), 336-363. https://doi.org/10.1002/fld.5248
• A Bernstein–Bézier Lagrange–Galerkin method for three-dimensional advection-dominated problems
  
  El-Amrani, M., Kacimi, A. E., Khouya, B., & Seaid, M. (2023). A Bernstein–Bézier Lagrange–Galerkin method for three-dimensional advection-dominated problems. Computer Methods in Applied Mechanics and Engineering, 403, Article 115758. https://doi.org/10.1016/j.cma.2022.115758
• Well-posedness and numerical approximation of steady convection-diffusion-reaction problems in porous media
  
  Salhi, L., Seaid, M., & Yakoubi, D. (2022). Well-posedness and numerical approximation of steady convection-diffusion-reaction problems in porous media. Computers and Mathematics With Applications, 124, 129-148. https://doi.org/10.1016/j.camwa.2022.08.024
• A boundary element method formulation based on the Caputo derivative for the solution of the diffusion-wave equation
  
  Carrer, J., Solheid, B., Trevelyan, J., & Seaid, M. (2022). A boundary element method formulation based on the Caputo derivative for the solution of the diffusion-wave equation. Engineering With Computers, 38(Suppl 4), 3563–3580. https://doi.org/10.1007/s00366-021-01480-x
• A semi-Lagrangian Bernstein–Bézier finite element method for two-dimensional coupled Burgers’ equations at high Reynolds numbers
  
  El-Amrani, M., Khouya, B., & Seaid, M. (2022). A semi-Lagrangian Bernstein–Bézier finite element method for two-dimensional coupled Burgers’ equations at high Reynolds numbers. Mathematics and Computers in Simulation, 199, 160-181. https://doi.org/10.1016/j.matcom.2022.03.011
• A multilayered shallow water model for sediment transport in flows over heterogeneous erodible beds
  
  Rowan, T., & Seaid, M. (2022). A multilayered shallow water model for sediment transport in flows over heterogeneous erodible beds. The European Physical Journal Plus, 137(8), Article 974. https://doi.org/10.1140/epjp/s13360-022-03202-8
• Bernstein-Bézier Galerkin-Characteristics Finite Element Method for Convection-Diffusion Problems
  
  El-Amrani, M., El-Kacimi, A., Khouya, B., & Seaid, M. (2022). Bernstein-Bézier Galerkin-Characteristics Finite Element Method for Convection-Diffusion Problems. Journal of Scientific Computing, 92(2), Article 58. https://doi.org/10.1007/s10915-022-01888-7
• Isogeometric semi-Lagrangian analysis for transport problems
  
  Asmouh, I., El-Amrani, M., & Seaid, M. (2022). Isogeometric semi-Lagrangian analysis for transport problems. Applied Mathematics Letters, 130, Article 107994. https://doi.org/10.1016/j.aml.2022.107994
• High‐order isogeometric modified method of characteristics for two‐dimensional coupled Burgers' equations
  
  Asmouh, I., El‐Amrani, M., Seaid, M., & Yebari, N. (2022). High‐order isogeometric modified method of characteristics for two‐dimensional coupled Burgers’ equations. International Journal for Numerical Methods in Fluids, 94(6), 608-631. https://doi.org/10.1002/fld.5068
• An adaptive enriched semi-Lagrangian finite element method for coupled flow-transport problems
  
  Ouardghi, A., El-Amrani, M., & Seaid, M. (2022). An adaptive enriched semi-Lagrangian finite element method for coupled flow-transport problems. Computers and Fluids, 240, Article 105474. https://doi.org/10.1016/j.compfluid.2022.105474
• A Nonintrusive Reduced-Order Model for Uncertainty Quantification in Numerical Solution of One-Dimensional Free-Surface Water Flows Over Stochastic Beds
  
  Alghosoun, A., Mocayd, N. E., & Seaid, M. (2022). A Nonintrusive Reduced-Order Model for Uncertainty Quantification in Numerical Solution of One-Dimensional Free-Surface Water Flows Over Stochastic Beds. International Journal of Computational Methods, 19(04). https://doi.org/10.1142/s0219876221500730
• A Galerkin-characteristic unified finite element method for moving thermal fronts in porous media
  
  Salhi, L., El-Amrani, M., & Seaid, M. (2022). A Galerkin-characteristic unified finite element method for moving thermal fronts in porous media. Journal of Computational and Applied Mathematics, 404, Article 113159. https://doi.org/10.1016/j.cam.2020.113159
• A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations
  
  Asmouh, I., El-Amrani, M., Seaid, M., & Yebari, N. (2022). A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations. Computational and Mathematical Methods, 2022, Article 8192192. https://doi.org/10.1155/2022/8192192
• A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids
  
  Bassou Khouya, null, Mofdi El-Amrani, null, & Seaid, M. (2022). A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids. Communications in Computational Physics., 31(1), 224-256. https://doi.org/10.4208/cicp.oa-2020-0229
• A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography
  
  Izem, N., & Seaid, M. (2022). A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography. Advances in Applied Mathematics and Mechanics, 14(3), 725-758. https://doi.org/10.4208/aamm.oa-2020-0364
• Data-driven polynomial chaos expansions for characterization of complex fluid rheology: Case study of phosphate slurry
  
  El Moçayd, N., & Seaid, M. (2021). Data-driven polynomial chaos expansions for characterization of complex fluid rheology: Case study of phosphate slurry. Reliability Engineering and System Safety, 216. https://doi.org/10.1016/j.ress.2021.107923
• A surrogate model for efficient quantification of uncertainties in multilayer shallow water flows
  
  Al-Ghosoun, A., El Moçayd, N., & Seaid, M. (2021). A surrogate model for efficient quantification of uncertainties in multilayer shallow water flows. Environmental Modelling and Software, 144, Article 105176. https://doi.org/10.1016/j.envsoft.2021.105176
• An enriched Galerkin-characteristics finite element method for convection-dominated and transport problems
  
  Ouardghi, A., El-Amrani, M., & Seaid, M. (2021). An enriched Galerkin-characteristics finite element method for convection-dominated and transport problems. Applied Numerical Mathematics, 167, 119-142. https://doi.org/10.1016/j.apnum.2021.04.018
• Non-intrusive polynomial chaos methods for uncertainty quantification in wave problems at high frequencies
  
  Mocayd, N. E., Mohamed, M. S., & Seaid, M. (2021). Non-intrusive polynomial chaos methods for uncertainty quantification in wave problems at high frequencies. Journal of Computational Science, 53, Article 101344. https://doi.org/10.1016/j.jocs.2021.101344
• Fast inverse solver for identifying the diffusion coefficient in time-dependent problems using noisy data
  
  Jiang, J., Shadi Mohamed, M., Seaid, M., & Li, H. (2021). Fast inverse solver for identifying the diffusion coefficient in time-dependent problems using noisy data. Archive of Applied Mechanics, 91(4), 1623-1639. https://doi.org/10.1007/s00419-020-01844-7
• A stochastic threshold to predict extinction and persistence of an epidemic SIRS system with a general incidence rate
  
  Settati, A., Lahrouz, A., Zahri, M., Tridane, A., El Fatini, M., El Mahjour, H., & Seaid, M. (2021). A stochastic threshold to predict extinction and persistence of an epidemic SIRS system with a general incidence rate. Chaos, Solitons & Fractals, 144, Article 110690. https://doi.org/10.1016/j.chaos.2021.110690
• Numerical solution of Rosseland model for transient thermal radiation in non-grey optically thick media using enriched basis functions
  
  Malek, M., Izem, N., Mohamed, M. S., Seaid, M., & Wakrim, M. (2021). Numerical solution of Rosseland model for transient thermal radiation in non-grey optically thick media using enriched basis functions. Mathematics and Computers in Simulation, 180, 258-275. https://doi.org/10.1016/j.matcom.2020.08.024
• Enriched Galerkin-Characteristics Finite Element Method for Incompressible Navier--Stokes Equations
  
  El-Amrani, M., Ouardghi, A., & Seaid, M. (2021). Enriched Galerkin-Characteristics Finite Element Method for Incompressible Navier--Stokes Equations. SIAM Journal on Scientific Computing, 43(2), A1336-A1361. https://doi.org/10.1137/20m1335923
• A Computational Model for Simulation of Shallow Water Waves by Elastic Deformations in the Topography
  
  Al-Ghosoun, A., Osman, A., & Seaid, M. (2021). A Computational Model for Simulation of Shallow Water Waves by Elastic Deformations in the Topography. Communications in Computational Physics., 29(4), 1095–1124. https://doi.org/10.4208/cicp.oa-2020-0098
• A hybrid finite volume/finite element method for shallow water waves by static deformation on seabeds
  
  Al-Ghosoun, A., Osman, A., & Seaid, M. (2021). A hybrid finite volume/finite element method for shallow water waves by static deformation on seabeds. Engineering Computations, 38(5), 2434-2459. https://doi.org/10.1108/ec-05-2020-0275
• A Three-Dimensional Monotonicity-Preserving Modified Method of Characteristics on Unstructured Tetrahedral Meshes
  
  Khouya, B., El-Amrani, M., & Seaid, M. (2021). A Three-Dimensional Monotonicity-Preserving Modified Method of Characteristics on Unstructured Tetrahedral Meshes. International Journal of Computational Methods, 18(01), Article 2050027. https://doi.org/10.1142/s0219876220500279
• A Galerkin-Characteristic Finite Element Method for Three-Dimensional Convection-Dominated Problems
  
  Khouya, B., El-Amrani, M., & Seaid, M. (2021). A Galerkin-Characteristic Finite Element Method for Three-Dimensional Convection-Dominated Problems. Advances in Applied Mathematics and Mechanics, 13(3), 503-526. https://doi.org/10.4208/aamm.oa-2020-0105
• A boundary element method formulation based on the Caputo derivative for the solution of the anomalous diffusion problem
  
  Carrer, J., Solheid, B., Trevelyan, J., & Seaid, M. (2021). A boundary element method formulation based on the Caputo derivative for the solution of the anomalous diffusion problem. Engineering Analysis With Boundary Elements, 122, 132-144. https://doi.org/10.1016/j.enganabound.2020.10.017
• Two-dimensional numerical modelling of shallow water flows over multilayer movable beds
  
  Rowan, T., & Seaid, M. (2020). Two-dimensional numerical modelling of shallow water flows over multilayer movable beds. Applied Mathematical Modelling, 88, Article 474-497. https://doi.org/10.1016/j.apm.2020.06.052
• A Conservative Semi-Lagrangian Finite Volume Method for Convection–Diffusion Problems on Unstructured Grids
  
  Asmouh, I., El-Amrani, M., Seaid, M., & Yebari, N. (2020). A Conservative Semi-Lagrangian Finite Volume Method for Convection–Diffusion Problems on Unstructured Grids. Journal of Scientific Computing, 85(1), Article 11. https://doi.org/10.1007/s10915-020-01316-8
• The Boundary Element Method applied to the solution of the Diffusion-Wave problem
  
  Carrer, J., Solheid, B., Trevelyan, J., & Seaid, M. (2020). The Boundary Element Method applied to the solution of the Diffusion-Wave problem. Engineering Analysis With Boundary Elements, 117, 13-25. https://doi.org/10.1016/j.enganabound.2020.03.027
• A three-dimensional enriched finite element method for nonlinear transient heat transfer in functionally graded materials
  
  Malek, M., Izem, N., Mohamed M, S., & Seaid, M. (2020). A three-dimensional enriched finite element method for nonlinear transient heat transfer in functionally graded materials. International Journal of Heat and Mass Transfer, 155, Article 119804. https://doi.org/10.1016/j.ijheatmasstransfer.2020.119804
• Inverse algorithm for real-time road roughness estimation for autonomous vehicles
  
  Jiang, J., Seaid, M., Mohamed, M. S., & Li, H. (2020). Inverse algorithm for real-time road roughness estimation for autonomous vehicles. Archive of Applied Mechanics, 90(6), 1333-1348. https://doi.org/10.1007/s00419-020-01670-x
• Partition of Unity Finite Element Analysis of Nonlinear Transient Diffusion Problems Using p-Version Refinement
  
  El Kahoui, A., Malek, M., Izem, N., Shadi Mohamed, M., & Seaid, M. (2020). Partition of Unity Finite Element Analysis of Nonlinear Transient Diffusion Problems Using p-Version Refinement. Computer Modeling in Engineering & Sciences : CMES., 124(1), 61-78. https://doi.org/10.32604/cmes.2020.010874
• Multi-hp adaptive discontinuous Galerkin methods for simplified PN approximations of 3D radiative transfer in non-gray media
  
  Giani, S., & Seaid, M. (2020). Multi-hp adaptive discontinuous Galerkin methods for simplified PN approximations of 3D radiative transfer in non-gray media. Applied Numerical Mathematics, 150, 252-273. https://doi.org/10.1016/j.apnum.2019.09.018
• Stochastic model reduction for polynomial chaos expansion of acoustic waves using proper orthogonal decomposition
  
  El Moçayd, N., Shadi Mohamed, M., Ouazar, D., & Seaid, M. (2020). Stochastic model reduction for polynomial chaos expansion of acoustic waves using proper orthogonal decomposition. Reliability Engineering and System Safety, 195. https://doi.org/10.1016/j.ress.2019.106733
• Simulation of Three-Dimensional Free-SurfaceFlows Using Two-Dimensional Multilayer Shallow Water Equations
  
  Sari, S., Rowan, T., Seaid, M., & Benkhaldoun, F. (2020). Simulation of Three-Dimensional Free-SurfaceFlows Using Two-Dimensional Multilayer Shallow Water Equations. Communications in Computational Physics., 27(5), 1413-1442. https://doi.org/10.4208/cicp.oa-2019-0036
• Explicit time integration with lumped mass matrix for enriched finite elements solution of time domain wave problems
  
  Drolia, M., Mohamed, M., Laghrouche, O., Seaid, M., & El Kacimi, A. (2020). Explicit time integration with lumped mass matrix for enriched finite elements solution of time domain wave problems. Applied Mathematical Modelling, 77(2), 1273-1293. https://doi.org/10.1016/j.apm.2019.07.054
• The Boundary Element Method Applied to the Solution of the Anomalous Diffusion Problem
  
  Carrer, J., Seaid, M., Trevelyan, J., & Solheid, B. (2019). The Boundary Element Method Applied to the Solution of the Anomalous Diffusion Problem. Engineering Analysis With Boundary Elements, 109, 129-142. https://doi.org/10.1016/j.enganabound.2019.09.016
• Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering
  
  El-Kacimi, A., Laghrouche, O., Ouazar, D., Mohamed, M., Seaid, M., & Trevelyan, J. (2019). Enhanced Conformal Perfectly Matched Layers for Bernstein-Bezier Finite Element Modelling of Short Wave Scattering. Computer Methods in Applied Mechanics and Engineering, 355, 614-638. https://doi.org/10.1016/j.cma.2019.06.032
• Efficient computational models for shallow water flows over multilayer erodible beds
  
  Rowan, T., & Seaid, M. (2019). Efficient computational models for shallow water flows over multilayer erodible beds. Engineering Computations, 37(2), 401-429. https://doi.org/10.1108/ec-10-2018-0470
• Iterative solvers for generalized finite element solution of boundary-value problems
  
  Mohamed, M. S., Seaid, M., & Bouhamidi, A. (2018). Iterative solvers for generalized finite element solution of boundary-value problems. Numerical Linear Algebra With Applications, 25(6). https://doi.org/10.1002/nla.2205
• Identifying the wavenumber for the inverse Helmholtz problem using an enriched finite element formulation
  
  Jiang, J., Mohamed, M. S., Seaid, M., & Li, H. (2018). Identifying the wavenumber for the inverse Helmholtz problem using an enriched finite element formulation. Computer Methods in Applied Mechanics and Engineering, 340, 615-629. https://doi.org/10.1016/j.cma.2018.06.014
• A new numerical treatment of moving wet/dry fronts in dam-break flows
  
  Al-Ghosoun, A., Herty, M., & Seaid, M. (2018). A new numerical treatment of moving wet/dry fronts in dam-break flows. Journal of Applied Mathematics and Computing, 59(1-2), 489-516. https://doi.org/10.1007/s12190-018-1189-5
• A stabilized meshless method for time-dependent convection-dominated flow problems
  
  Benkhaldoun, F., Halassi, A., Ouazar, D., Seaid, M., & Taik, A. (2017). A stabilized meshless method for time-dependent convection-dominated flow problems. Mathematics and Computers in Simulation, 137, 159-176. https://doi.org/10.1016/j.matcom.2016.11.003
• Enriched finite elements for initial-value problem of transverse electromagnetic waves in time domain
  
  Drolia, M., Mohamed, M., Laghrouche, O., Seaid, M., & Trevelyan, J. (2017). Enriched finite elements for initial-value problem of transverse electromagnetic waves in time domain. Computers and Structures, 182, 354-367. https://doi.org/10.1016/j.compstruc.2016.11.011
• A non-homogeneous Riemann solver for shallow water equations in porous media
  
  Benkhaldoun, F., Elmahi, I., Moumna, A., & Seaid, M. (2016). A non-homogeneous Riemann solver for shallow water equations in porous media. Applicable Analysis, 95(10), 2181-2202. https://doi.org/10.1080/00036811.2015.1067304
• A Runge–Kutta–Chebyshev SPH algorithm for elastodynamics
  
  He, L., & Seaid, M. (2016). A Runge–Kutta–Chebyshev SPH algorithm for elastodynamics. Acta Mechanica, 227(7), 1813-1835. https://doi.org/10.1007/s00707-016-1603-8
• hp-adaptive discontinuous Galerkin methods for simplified PN approximations of frequency-dependent radiative transfer
  
  Giani, S., & Seaid, M. (2016). hp-adaptive discontinuous Galerkin methods for simplified PN approximations of frequency-dependent radiative transfer. Computer Methods in Applied Mechanics and Engineering, 301, 52-79. https://doi.org/10.1016/j.cma.2015.12.013
• A discontinuous Galerkin method for two-layer shallow water equations
  
  Izem, N., Seaid, M., & Wakrim, M. (2016). A discontinuous Galerkin method for two-layer shallow water equations. Mathematics and Computers in Simulation, 120. https://doi.org/10.1016/j.matcom.2015.04.009
• Slope limiters for radial basis functions applied to conservation laws with discontinuous flux function
  
  Benkhaldoun, F., Halassi, A., Ouazar, D., Seaid, M., & Taik, A. (2016). Slope limiters for radial basis functions applied to conservation laws with discontinuous flux function. Engineering Analysis With Boundary Elements, 66. https://doi.org/10.1016/j.enganabound.2016.02.003
• Projection finite volume method for shallow water flows
  
  Benkhaldoun, F., Sari, S., & Seaid, M. (2015). Projection finite volume method for shallow water flows. Mathematics and Computers in Simulation, 118, 87-101. https://doi.org/10.1016/j.matcom.2014.11.027
• A family of finite volume Eulerian–Lagrangian methods for two-dimensional conservation laws
  
  Benkhaldoun, F., Sari, S., & Seaid, M. (2015). A family of finite volume Eulerian–Lagrangian methods for two-dimensional conservation laws. Journal of Computational and Applied Mathematics, 285, 181-202. https://doi.org/10.1016/j.cam.2015.02.014
• A Frequency-domain Approach for the P1 Approximation of Time-dependent Radiative Transfer
  
  Addam, M., Bouhamidi, A., & Seaid, M. (2015). A Frequency-domain Approach for the P1 Approximation of Time-dependent Radiative Transfer. Journal of Scientific Computing, 62(3), 623-651. https://doi.org/10.1007/s10915-014-9870-9
• Mixed enrichment for the finite element method in heterogeneous media
  
  Diwan, G., Mohamed, M., Seaid, M., Trevelyan, J., & Laghrouche, O. (2015). Mixed enrichment for the finite element method in heterogeneous media. International Journal for Numerical Methods in Engineering, 101(1), 54-78. https://doi.org/10.1002/nme.4795
• Discontinuous Galerkin method for two-dimensional bilayer shallow water equations
  
  Izem, N., Seaid, M., Elmahi, I., & Wakrim, M. (2015). Discontinuous Galerkin method for two-dimensional bilayer shallow water equations. Journal of Engineering Mathematics, 96(1), 1-21. https://doi.org/10.1007/s10665-014-9764-8
• A meshless method for numerical simulation of depth-averaged turbulence flows using ak-ϵmodel
  
  Alhuri, Y., Benkhaldoun, F., Ouazar, D., Seaid, M., & Taik, A. (2015). A meshless method for numerical simulation of depth-averaged turbulence flows using ak-ϵmodel. International Journal for Numerical Methods in Fluids, 80(1). https://doi.org/10.1002/fld.4067
• A fast finite volume solver for multi-layered shallow water flows with mass exchange
  
  Audusse, E., Benkhaldoun, B., Sari, S., Seaid, M., & Tassi, P. (2014). A fast finite volume solver for multi-layered shallow water flows with mass exchange. Journal of Computational Physics, 272, 23-45. https://doi.org/10.1016/j.jcp.2014.04.026
• A simple multi-layer finite volume solver for density-driven shallow water flows
  
  Benkhaldoun, F., Sari, S., & Seaid, M. (2014). A simple multi-layer finite volume solver for density-driven shallow water flows. Mathematics and Computers in Simulation, 99, 170-189. https://doi.org/10.1016/j.matcom.2013.04.016
• A new composite scheme for two-layer shallow water flows with shocks
  
  Benkhaldoun, F., Izem, N., Sahmim, S., Seaid, M., & Wakrim, M. (2014). A new composite scheme for two-layer shallow water flows with shocks. Journal of Applied Mathematics and Computing, 44(1-2), 467-489. https://doi.org/10.1007/s12190-013-0703-z
• An enriched finite element model with q-refinement for radiative boundary layers in glass cooling
  
  Mohamed, M., Seaid, M., Trevelyan, J., & Laghrouche, O. (2014). An enriched finite element model with q-refinement for radiative boundary layers in glass cooling. Journal of Computational Physics, 258, 718-737. https://doi.org/10.1016/j.jcp.2013.11.005
• Time-independent hybrid enrichment for finite element solution of transient conduction–radiation in diffusive grey media
  
  Mohamed, M., Seaid, M., Trevelyan, J., & Laghrouche, O. (2013). Time-independent hybrid enrichment for finite element solution of transient conduction–radiation in diffusive grey media. Journal of Computational Physics, 251, 81-101. https://doi.org/10.1016/j.jcp.2013.05.030
• An unstructured finite-volume method for coupled models of suspended sediment and bed load transport in shallow-water flows
  
  Benkhaldoun, F., Elmahi, I., Sari, S., & Seaid, M. (2013). An unstructured finite-volume method for coupled models of suspended sediment and bed load transport in shallow-water flows. International Journal for Numerical Methods in Fluids, 72(9), 967-993. https://doi.org/10.1002/fld.3771
• Assessment of coupling conditions in water way intersections
  
  Herty, M., & Seaid, M. (2013). Assessment of coupling conditions in water way intersections. International Journal for Numerical Methods in Fluids, 71(11), 1438-1460. https://doi.org/10.1002/fld.3719
• A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions
  
  Mohamed, M., Seaid, M., Trevelyan, J., & Laghrouche, O. (2013). A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions. International Journal for Numerical Methods in Engineering, 93(3), 245-265. https://doi.org/10.1002/nme.4383
• A finite volume method for scalar conservation laws with stochastic time-space dependent flux function
  
  Mohamed, K., Seaid, M., & Zahri, M. (2013). A finite volume method for scalar conservation laws with stochastic time-space dependent flux function. Journal of Computational and Applied Mathematics, 237(1), 614-632. https://doi.org/10.1016/j.cam.2012.07.014
• Numerical modelling of sediment transport in the Nador lagoon (Morocco)
  
  Benkhaldoun, F., Daoudi, S., Elmahi, I., & Seaid, M. (2012). Numerical modelling of sediment transport in the Nador lagoon (Morocco). Applied Numerical Mathematics, 62(12), 1749-1766. https://doi.org/10.1016/j.apnum.2012.05.010
• A finite element semi-Lagrangian method with L² interpolation
  
  El-Amrani, M., & Seaid, M. (2012). A finite element semi-Lagrangian method with L² interpolation. International Journal for Numerical Methods in Engineering, 90(12), 1485-1507. https://doi.org/10.1002/nme.3372
• A conjugate gradient algorithm for solving the Galerkin-characteristic approximation of interfacial flows.
  
  El-Amrani, M., & Seaid, M. (2012). A conjugate gradient algorithm for solving the Galerkin-characteristic approximation of interfacial flows. Applied Numerical Mathematics, 62(9), 1197-1214. https://doi.org/10.1016/j.apnum.2010.10.007
• Simulation of the Lock-Exchange Hydraulics using the Discontinuous Galerkin Method
  
  Izem, N., Seaid, M., & Wakrim, M. (2012). Simulation of the Lock-Exchange Hydraulics using the Discontinuous Galerkin Method. International Journal of Computer Applications, 43(6). https://doi.org/10.5120/6108-8325
• A flux-limiter method for dam-break flows over erodible sediment beds.
  
  Benkhaldoun, B., Sari, S., & Seaid, M. (2012). A flux-limiter method for dam-break flows over erodible sediment beds. Applied Mathematical Modelling, 36(10), 4847-4861. https://doi.org/10.1016/j.apm.2011.11.088
• A stabilized finite element method for stochastic incompressible Navier-Stokes equations
  
  El-Amrani, M., Seaid, M., & Zahri, M. (2012). A stabilized finite element method for stochastic incompressible Navier-Stokes equations. International Journal of Computer Mathematics, 89(18), 2576-2602. https://doi.org/10.1080/00207160.2012.696620
• Multilayer Saint-Venant equations over movable beds
  
  Audusse, E., Benkhaldoun, F., Sainte-Marie, J., & Seaid, M. (2011). Multilayer Saint-Venant equations over movable beds. Discrete and Continuous Dynamical Systems - Series B, 15(4), 917-934. https://doi.org/10.3934/dcdsb.2011.15.917
• Mathematical development and verification of a finite volume model for morphodynamic flow applications
  
  Benkhaldoun, F., Seaid, M., & Sahmim, S. (2011). Mathematical development and verification of a finite volume model for morphodynamic flow applications. Advances in Applied Mathematics and Mechanics, 3, 470-492. https://doi.org/10.4208/aamm.10-m1056
• Comparison of unstructured finite-volume morphodynamic models in contracting channel flows
  
  Benkhaldoun, F., Daoudi, S., Elmahi, I., & Seaid, M. (2011). Comparison of unstructured finite-volume morphodynamic models in contracting channel flows. Mathematics and Computers in Simulation, 81(10), 2087-2097. https://doi.org/10.1016/j.matcom.2010.12.031
• An L²-projection for the Galerkin-characteristic Solution of Incompressible Flows
  
  El-Amrani, M., & Seaid, M. (2011). An L²-projection for the Galerkin-characteristic Solution of Incompressible Flows. SIAM Journal on Scientific Computing, 33(6), 3110-3131. https://doi.org/10.1137/100805790
• Combined Characteristics and Finite Volume Methods for Sediment Transport and Bed Morphology in Surface Water Flows
  
  Benkhaldoun, F., & Seaid, M. (2011). Combined Characteristics and Finite Volume Methods for Sediment Transport and Bed Morphology in Surface Water Flows. Mathematics and Computers in Simulation, 81(10), 2073-2086. https://doi.org/10.1016/j.matcom.2010.12.025
• A new finite volume method for flux-gradient and source-term balancing in shallow water equations.
  
  Benkhaldoun, F., Elmahi, I., & Seaid, M. (2010). A new finite volume method for flux-gradient and source-term balancing in shallow water equations. Computer Methods in Applied Mechanics and Engineering, 199(49-52). https://doi.org/10.1016/j.cma.2010.07.003
• A two-dimensional finite volume morphodynamic model on unstructured triangular grids.
  
  Benkhaldoun, F., Sahmim, S., & Seaid, M. (2010). A two-dimensional finite volume morphodynamic model on unstructured triangular grids. International Journal for Numerical Methods in Fluids, 63(11), 1296-1327. https://doi.org/10.1002/fld.2129
• A simple finite volume method for the shallow water equations.
  
  Benkhaldoun, F., & Seaid, M. (2010). A simple finite volume method for the shallow water equations. Journal of Computational and Applied Mathematics, 234(1), 58-72. https://doi.org/10.1016/j.cam.2009.12.005
• An Essentially Non-Oscillatory Semi-Lagrangian Method for Tidal Flow Simulations.
  
  El-Amrani, M., & Seaid, M. (2010). An Essentially Non-Oscillatory Semi-Lagrangian Method for Tidal Flow Simulations. International Journal for Numerical Methods in Engineering, 81(7), 805-834. https://doi.org/10.1002/nme.2708
• Application of Mesh-Adaptation for Pollutant Transport by Water Flow.
  
  Benkhaldoun, F., Elmahi, I., & Seaid, M. (2009). Application of Mesh-Adaptation for Pollutant Transport by Water Flow. Mathematics and Computers in Simulation, 79(12), 3415-3423. https://doi.org/10.1016/j.matcom.2009.04.007
• Large Eddy Simulation of Turbulent Heat Transport in the Strait of Gibraltar.
  
  El-Amrani, M., & Seaid, M. (2009). Large Eddy Simulation of Turbulent Heat Transport in the Strait of Gibraltar. Mathematics and Computers in Simulation, 79(12), 3444-3454. https://doi.org/10.1016/j.matcom.2009.04.013
• Numerical Simulation of Stochastic Replicator Models in Catalyzed RNA-like Polymers.
  
  Rößler, A., Seaid, M., & Zahri, M. (2009). Numerical Simulation of Stochastic Replicator Models in Catalyzed RNA-like Polymers. Mathematics and Computers in Simulation, 79(12), 3577-3586. https://doi.org/10.1016/j.matcom.2009.04.018
• Solving Wick-Stochastic Water Waves using a Galerkin Finite Element Method.
  
  Manouzi, H., & Seaid, M. (2009). Solving Wick-Stochastic Water Waves using a Galerkin Finite Element Method. Mathematics and Computers in Simulation, 79(12), 3523-3533. https://doi.org/10.1016/j.matcom.2009.04.008
• An Eulerian-Lagrangian Method for Coupled Parabolic-Hyperbolic Equations.
  
  Seaid, M. (2009). An Eulerian-Lagrangian Method for Coupled Parabolic-Hyperbolic Equations. Applied Numerical Mathematics, 59(3-4), 754-768. https://doi.org/10.1016/j.apnum.2008.03.032
• A semi-Lagrangian method for a Fokker-Planck equation describing fiber dynamics
  
  Klar, A., Reuterswärd, P., & Seaid, M. (2009). A semi-Lagrangian method for a Fokker-Planck equation describing fiber dynamics. Journal of Scientific Computing, 38(3), 349-367. https://doi.org/10.1007/s10915-008-9244-2
• A Spectral Stochastic Semi-Lagrangian Method for Convection-Diffusion Equations with Uncertainty.
  
  El-Amrani, M., & Seaid, M. (2009). A Spectral Stochastic Semi-Lagrangian Method for Convection-Diffusion Equations with Uncertainty. Journal of Scientific Computing, 39(3), 371-393. https://doi.org/10.1007/s10915-009-9273-5
• Solution of the Sediment Transport Equations using a Finite Volume Method based on Sign Matrix.
  
  Benkhaldoun, F., Sahmim, S., & Seaid, M. (2009). Solution of the Sediment Transport Equations using a Finite Volume Method based on Sign Matrix. SIAM Journal on Scientific Computing, 31, 2866-2889. https://doi.org/10.1137/080727634
• Lattice Boltzmann Simulation of Dispersion in Two-Dimensional Tidal Flows.
  
  Banda, M., Seaid, M., & Thömmes, G. (2009). Lattice Boltzmann Simulation of Dispersion in Two-Dimensional Tidal Flows. International Journal for Numerical Methods in Engineering, 77(6), 878-900. https://doi.org/10.1002/nme.2435
• Lattice Boltzmann simulation of free-surface temperature dispersion in shallow water flows.
  
  Seaid, M., & Thömmes, G. (2009). Lattice Boltzmann simulation of free-surface temperature dispersion in shallow water flows. Advances in Applied Mathematics and Mechanics, 1(3), 415-437.
• Coupled finite element–lattice Boltzmann analysis
  
  Haslam, I., Crouch, R., & Seaïd, M. (2008). Coupled finite element–lattice Boltzmann analysis. Computer Methods in Applied Mechanics and Engineering, 197(51-52), 4505-4511. https://doi.org/10.1016/j.cma.2008.04.002
• A Galerkin-Characteristic Method for Large-Eddy Simulation of Turbulent Flow and Heat Transfer
  
  El-Amrani, M., & Seaid, M. (2008). A Galerkin-Characteristic Method for Large-Eddy Simulation of Turbulent Flow and Heat Transfer. SIAM Journal on Scientific Computing, 30(6), 2734-2754. https://doi.org/10.1137/080720711
• Simplified radiative models for low-Mach number reactive flows.
  
  Teleaga, I., & Seaid, M. (2008). Simplified radiative models for low-Mach number reactive flows. Applied Mathematical Modelling, 32(6), 971-991. https://doi.org/10.1016/j.apm.2007.02.021
• Lattice Boltzmann Simulation of Depth-Averaged Models in Flow Hydraulics.
  
  Klar, A. S., M. Thoemmes, G., & Seaid, M. (2008). Lattice Boltzmann Simulation of Depth-Averaged Models in Flow Hydraulics. International Journal of Computational Fluid Dynamics, 22(7), 507-522. https://doi.org/10.1080/10618560802243838
• Simulation of transient gas flow at pipe-to-pipe intersections.
  
  Herty, M., & Seaid, M. (2008). Simulation of transient gas flow at pipe-to-pipe intersections. International Journal for Numerical Methods in Fluids, 56(5), 485-506. https://doi.org/10.1002/fld.1531
• Finite Element P1 Solution of Thermal Flow past a Circular Cylinder with Radiation.
  
  Seaid, M., & El-Amrani, M. (2008). Finite Element P1 Solution of Thermal Flow past a Circular Cylinder with Radiation. International Journal of Computer Mathematics, 85(3-4), 641-656. https://doi.org/10.1080/00207160601167060
• A finite element modified method of characteristics for convective heat transport
  
  El-Amrani, M., & Seaid, M. (2008). A finite element modified method of characteristics for convective heat transport. Numerical Methods for Partial Differential Equations, 24(3), 776-798. https://doi.org/10.1002/num.20288
• Extension of weakly compressible approximations to incompressible thermal flows.
  
  El-Amrani, M., & Seaid, M. (2008). Extension of weakly compressible approximations to incompressible thermal flows. Communications in Numerical Methods in Engineering, 24(1), 33-48. https://doi.org/10.1002/cnm.954
• Validation of simplified PN models for radiative transfer in combustion.
  
  Schneider, E., Seaid, M., Janicka, J., & Klar, A. (2008). Validation of simplified PN models for radiative transfer in combustion. Communications in Numerical Methods in Engineering, 24(2), 85-96. https://doi.org/10.1002/cnm.941
• Large-Eddy Simulation of Thermal Flows based on Discrete-Velocity Models.
  
  Banda, M., Seaid, M., & Teleaga, I. (2008). Large-Eddy Simulation of Thermal Flows based on Discrete-Velocity Models. SIAM Journal on Scientific Computing, 30(4), 1756-1777. https://doi.org/10.1137/070682174
• Lattice Boltzmann Methods for Shallow Water Flow Applications
  
  Thömmes, G., Seaid, M., & Banda, M. (2007). Lattice Boltzmann Methods for Shallow Water Flow Applications. International Journal for Numerical Methods in Fluids, 55(7), 673-692. https://doi.org/10.1002/fld.1489
• Well-Balanced Finite Volume Schemes for Pollutant Transport by Shallow Water Equations on Unstructured Meshes
  
  Benkhaldoun, F., Elmahi, I., & Seaid, M. (2007). Well-Balanced Finite Volume Schemes for Pollutant Transport by Shallow Water Equations on Unstructured Meshes. Journal of Computational Physics, 226(1), 180-203. https://doi.org/10.1016/j.jcp.2007.04.005
• A Consistent Approach for the Coupling of Radiation and Hydrodynamics at Low Mach Number
  
  Dubroca, B., Seaid, M., & Teleaga, I. (2007). A Consistent Approach for the Coupling of Radiation and Hydrodynamics at Low Mach Number. Journal of Computational Physics, 225(1), 1039-1065. https://doi.org/10.1016/j.jcp.2007.01.011
• Numerical Simulation of Natural and Mixed Convection Flows by Galerkin-Characteristic Method
  
  El-Amrani, M., & Seaid, M. (2007). Numerical Simulation of Natural and Mixed Convection Flows by Galerkin-Characteristic Method. International Journal for Numerical Methods in Fluids, 53(12), 1819-1845. https://doi.org/10.1002/fld.1384