1. Refereed Articles

• S. Sahmim, H. Aydi, A. Felhi,  Convergence and Best Proximity Points for Generalized Contraction Pairs, Mathematics 2019, Volume 7 Issue 2, 176.
• H. Aydi, A. Felhi, S. Sahmim, α -CONTRACTIVE MAPPINGS ON RECTANGULAR b-METRIC SPACES AND AN APPLICATION TO INTEGRAL EQUATIONS, Journal of Mathematical Analysis, Volume 9 Issue 3 (2018), Pages 47-60.
• H. Aydi, A. Felhi, S. Sahmim, Ciric-Berinde fixed point theorems for multi-valued mappings on  complete metric-like spaces, Filomat, 31:12 (2017)  3727-3740 H. Aydi, A. Felhi, S. Sahmim, Ciric-Berinde fixed point theorems for multi-valued mappings on  complete metric-like spaces, Filomat, 31:12 (2017)  3727-3740.
• H. Aydi, A. Felhi, S. Sahmim, Ciric-Berinde fixed point theorems for multi-valued mappings on  complete metric-like spaces, Filomat, 31:12 (2017)  3727-3740.
• H. Aydi, A. Felhi, S. Sahmim,  A Suzuki point theorem for generalized multivalued mappings on metric-like  spaces,  Glasnik Math.  52 (72) (2017), 147 -161.
• H. Aydi, A. Felhi, S. Sahmim,  Common fixed points via implicit contractions on b-metric-like spaces, J. Nonlinear Sci. Appl. 10 (4) (2017)  1524-1537.
• Ahmed Al-Rawashed, Hassen Aydi,  Abdelbasset Felhi ,Slah Sahmim, " On common fixed points for α − F-contractions and applications, Journal of Nonlinear Science and Applications 9(5):3445–3458 · May 2016.
• Erdal KARAPINAR , Hassen Aydi,  Abdelbasset Felhi, Slah Sahmim, " Hausdorff Metric-Like, generalized Nadler's Fixed Point Theorem on Metric-Like Spaces and application”, Accepted in MISKOLC Mathematical Notes.
• Hassen Aydi,  Abdelbasset Felhi,  Slah Sahmim, " Ulam-Hyers stability and well-posedness of fixed point problems for α-λ-contractions on quasi b-metric spaces,”Fixed Point Theory and Applications 2016:1(1) · December 2016. DOI: 10.1186/s13663-015-0491-2
• Hassen Aydi,  Abdelbasset Felhi,  Slah Sahmim, " Fixed points of multivalued nonself almost contractions in metric-like spaces, Math Sci (2015) 9:103–108 DOI 10.1007/s40096-015-0156-7.
• HASSEN AYDI, ABDELBASSET FELHI AND SLAH SAHMIM, " COMMON FIXED POINTS IN RECTANGULAR b-METRIC SPACES USING (E.A) PROPERTY", J. Adv. Math. Stud. Vol. 8(2015), No. 2, 159-169 http://journal.fairpartners.ro
• N. Izem, F. Benkhaldoun, S. Sahmim, M. Seaid, M. Wakrim, "A new composite scheme for two-layer shallow water flows with shocks, accepted in Journal of Applied Mathematics and Computing (July 2013).
•  Benkhaldoun, S. Sahmim, M. Seaid “Mathematical development and verification of a finite volume model for morphodynamic  low applications” Accepted for publication in Advances in Applied Mathematics and Mechanics (2011).

• F. Benkhaldoun, S. Sahmim, M. Seaid “A two- dimensional finite volume morphodynamic model on unstructured grids” International Journal for Numerical Methods in fluids. Volume 63, Issue 11, pages 1296-1327 (2010).
• F. Benkhaldoun, S. Sahmim, M. Seaid “Solution of the sediment transport equations using a finite volume method based on sign matrix”. Journal SIAM J. SCi. Comp. Vol 31, pp: 2866- 2889 (2009).
• S. Sahmim, F. Benkhaldoun and F. Alcrudo “A sign matrix based for non-homogeneous PDE's with an analysis of the convergence phenomenon”. Journal of Computational Physics 226 (2007) 1753- 1783.
• S. Sahmim, F. Benkhaldoun, “ Schéma SRNHS - Analyse et Application  d'un schéma aux volumes finis dédié aux systèmes non homogènes ”,  ARIMA. Volume 5, pages 302-316  (2006).
• S. Sahmim, F. Benkhaldoun, “ Schéma SRNHS - Analyse et Application  d'un schéma aux volumes finis dédié aux systèmes non homogènes ”,  ARIMA. Volume 5, pages 302-316  (2006).

2. Selected Conferences, Schools and Workshops Attended

• N. Izem, M. Wakrim, S. Sahmim and F. Benkhaldoun, Le schéma SNRH pour la résolution du problème de Saint Venant Bi-couhes, communication accepted for publication MAMERN 11, 3rd International Conference on Approximation Methods and numerical Modeling in Environment and Natural Resources.
• S. Sahmim, F. Benkhaldoun and S. Seaid “Mathematical development and verification of a finite volume model for morphodynamic  flow applications’’ Numerical Methods for Interaction between Sediments and Water, LAGA- Paris 13 Nord University- Villetaneuse , September 20 – 24, 2010.
• F. Benkhaldoun, S. Sahmim , M. Seaid, « Adaptive Numerical Simulation of Sediment Transport in Shalow Water Flows », Seminario International Sobre Matematica Aplicada y su Repercusion en la Sociedad Actual November 17, (2008) , Madrid (Invited)
• S. Sahmim, F. Benkhaldoun and F. Alcrudo “Efficiency of finite volume solvers for inhomogeneous systems Marrakech world conference on differential equations and applications, June 2006.
• F. Benkhaldoun, S. Sahmim, “SRNH scheme applied to the simulation of two phase problems”, Colloquium Topical Problems of Fluid Dynamics, Prague, February 2006.
• S. Sahmim, F. Benkhaldoun, “ Schéma SRNHS - Analyse et Application  d'un schéma aux volumes finis dédié aux systèmes non homogènes ”,  ARIMA. Volume 5, pages 302-316  (2006).
• S. Sahmim, F. Benkhaldoun and F. Alcrudo,” A finite volume solver based on matrix sign for non homogeneous systems”, FVCA4, Hermes Science Publishing, ISBN 1 905209 48 7, pp 471-482, (2005).
• S. Sahmim, F. Benkhaldoun ,” Analyse et Application d’un schéma aux volumes finis dédié au systèmes non homogènes ”,  actes du colloque Tendances pour les Applications des Mathématiques, Tunisia, April 2005, pp 348-353.
• S. Sahmim, F. Benkhaldoun, “A finite volume scheme using matrix sign applied to the simulation of non-homogeneous system”, Trends in Numerical and physical modelling for industrial multiphase flows, Cargese, September 2005.
• S. Sahmim, F. Benkhaldoun, “NHRS scheme and Matrix sign applied to non homogeneous systems”, Ecole de printemps, Numerical Simulation of Complex and Multiphase Flows, IGESA Porquerolles, 18-22 April 2005.

Applied Mathematics, Numerical Analysis

1. PhD : Paris 13 University, France, 2005.
   • Title : "A finite volume scheme based on matrix sign  devoted to non homogenous systems”.
   • Advisor : Fayssal BENKHALDOUN.
   • Defended : June 2005 at University of Paris XIII, France.
   • Jury : François Alouges (referee),  Claude Basdvant (President), Fayssal Benkhaldoun (Advisor), Hervé Guillard (referee), Anela Kumbaro, Laure Quivy.
   • Mention : « très honorable ».
   • Abstract : This thesis is devoted to the analysis, the application and the two-dimensional extension, of a new finite volumes scheme (SRNH) proposed recently for a class of nonhomogeneous  systems. The  stability analysis of the scheme, first in the scalar case then in the case of systems of conservation laws, leads to a new formulation of the scheme which is based on the sign of the Jacobian matrix of the system under study.  For Shallow Water equation with slope source term, one shows formally that the scheme SRNHS preserves the exact C-property introduced in the context of equilibrium schemes, by Bermùdez and Vázquez. The 1D and 2D numerical results, in particular in the case of a dam break over a step, show how much the scheme is really efficient. For two phase flows, nonhyperbolicity regions could appear, and the eigenvalues of the Jacobian matrix could become complex. It is shown that for weak nonhyperbolic configurations, one can calculate the sign of the Jacobian matrix using the algorithm of Newton-Schultz. For stiffer configurations, where the preceding method is no more adequate, one can use the method of density perturbation. In both cases, the numerical tests show that one approaches the exact solution of the Ransom problem with a high degree of occuracy, and that one preserves the stability of the calculations even on a grid of a relatively high degree of refinement.

2.    M.Sc. : Paris VI University, France , 2001.
3.  High school graduate diploma in mathematics Faculty of Sciences of Tunis, Tunisia.

• 2020-2021 : Algebra I and  Algebra II.
• 2019-2020 : Algebra I, Algebra II, Calculus I and Calculus II.
• 2018-2019 : Numerical analysis, General Mathematics.
• 2016-2017: Numerical analysis, Geometric transformation, Applied Mathematics, General Mathematics.
• 2015-2016: Numerical analysis, Logic & proof techniques, Geometric transformation
• 2014-2015: Numerical analysis, Logic & proof techniques, Geometric transformation, calculus 1, Applied mathematics
• 2013-2014: Numerical analysis, Geometric transformation, calculus 1, Applied mathematics
• 2010-2011: Finite volume methods and laws conservations (Master –Polytechnic School of Tunisia ), Numerical Analysis (Engineer- Polytechnic School of Tunisia), Algebra I, Algebra II, Calculus I and Calculus II(LMW 1).
• 2009-2010: Algebra and analysis (LMW 1), Numerical analysis (Engineer - Polytechnic School of Tunisia), Numerical Analysis (Engineer -Polytechnic School of Tunisia).
• 2008-2009: Algebra and analysis (LR1), Optimization (L3 Mathematics), Numerical analysis (Engineer).
• 2007-2008: Algebra and analysis (LR1), Numerical analysis (Engineer).
• 2006-2007: Probability and statistics (LMW2), Algebra and analysis (LR1).
• 2004-2005: signal processing (GTR2).