Bilal Ragheb Barakeh

Associate professor
Mathematics department - Section III - Tripoli
Speciality: Mathematics
Specific Speciality: Mathématiques Appliquées
Skills: Achieved extensive communication skills through the presentation of various seminars and conferences, and through lecturing and tutoring experience. Developed excellent knowledge of software applications such as Mathematica. Skills in conflict resolution and leadership.

Faculty of Sciences Section 3 Director

Teaching 6 Taught Courses
(2014-2015) Math 403 - Distribution theory

M1 Mathematics

(2014-2015) Stat 200 - Introduction to Calculus of Probabilities

BS Mathematics

(2014-2015) Math 204 - Differential Equations

BS Mathematics

(2014-2015) Math 209 - Metric Topology II and complex analysis

BS Mathematics

(2014-2015) Math 278 - Analysis II (differential equations)

BS Chemistry

(2014-2015) Math 301 - Integration I

BS Mathematics

1994 - 1998: Doctorat


Doctorat-Nouveau régime

1993 - 1994: DEA


3eme cycle/Ecole Doctorale

1991 - 1992: Maitrise

Faculté des Sciences de Nancy-France

Second cycle

1990 - 1991: Licence

Faculté des Sciences de Nancy-France

Second cycle

1988 - 1990: DEUG

Faculté des Sciences de Nancy-France

Premier cycle

Conferences 3 participations
Publications 7 publications
Barakeh Bilal Analytical and Numerical Approaches in Coagulation of Particles World Academy of Science 2011

In this paper we discuss the effect of unbounded particle interaction operator on particle growth and we study how this can address the choice of appropriate time steps of the numerical simulation. We provide also rigorous mathematical proofs showing that large particles become dominating with increasing time while small particles contribute negligibly. Second, we discuss the efficiency of the algorithm by performing numerical simulations tests and by comparing the simulated solutions with some known analytic solutions to the Smoluchowski equation.

Barakeh Bilal Convergence proof of a Monte Carlo scheme for the resolution of the smoluchowski coagulation equation Journal of Applied Mathematics 2009

This paper studies the convergence in probability of a Monte Carlo simulation scheme for solving Smoluchowsi’s coagulation equation. We propose the lemmas and theorems needed to achieve the convergence proof.

Barakeh Bilal Smoluchowski’s Coagulation Equation: Convergence Results and Analysis of Particle Growth for a Numerical Stochastic Scheme. International Journal of Computational Science 2009

Abstract. The mathematical foundation and numerical simulation of cluster growth is a research field of high current interest. In this paper we investigate a numerical method proposed in [2] for solving Smoluchowsi’s coagulation equation, and provide the theorems and lemmas to prove the convergence of the numerical scheme. In the case of unbounded interaction operator, the choice of appropriate time steps is studied. Then we present the mathematical proofs showing that large particles become dominating with increasing time, while small particles contribute negligibly. Finally, numerical simulations are performed to test the efficiency of the algorithm.

Barakeh Bilal Résultats de convergence d'un schéma modifié de Monte Carlo pour la résolution numérique de l'équation de Smoluchowski I-Revue 2007

L’équation de Smoluchowski, est un modèle décrivant simplement la coagulation de particules. Plusieurs algorithmes stochastiques ont été proposés pour résoudre cette équation. Dans ce travail, nous étudions le schéma numérique modifié de type Monte Carlo proposé par Babovsky (1999). Nous proposons une démonstration complète de sa convergence, en donnant pour cela les lemmes et les théorèmes nécessaires.

Barakeh Bilal Elastoplastic torsion of a cylinder in presence of hardening Aristotle University of Thessaloniki 2006

In this paper, we investigate the torsion problem of an elastic-plastic circular shaft in presence of a positive and isotropic hardening. We state a general formulation of the problem and then using simple considerations, we construct a solution in a closed-form for some values of the hardening exponent in the hardening power law. For all the other values of the hardening exponent, the solution cannot be written in closed-form and the solution derived from the equations of the problem is approached numerically.

Barakeh Bilal comprehensive study about the elastic-viscoplastic behaviour of the alloy Sn62Pb36Ag2 Vienna University of Technology 2005

Creep is what determines the resistance and life duration of mechanical elements submitted to high temperatures. In this paper a creep law is proposed for the elastic viscoplastic alloy SnPbAg used as solder joints in electronical packages. Several mechanical tests are made in order to have a comprehensive study of the characteristics of this alloy. This allows the determination of the principal parameters and quantities intervening in the elastic-viscoplastic behaviour of the given alloy.

M'B. Taghite &B.Barake Evaluation of the thermal boundary layer in the plate of a heat exchanger and the error estimate Elsevier 1998

In earlier articles a thermal problem of a periodically perforated plate of a heat exchanger has been presented. This model shows five reduced parameters: the period ε of the distribution of the holes, the relative thickness e of the plate, and the three numbers of Biot B+, B−, Bc. Different situations according to the order of magnitudes of these parameters have been examined save those that present a phenomenon of “thermal boundary layer” which is developed in this paper.

Supervision 4 Supervised Students
Resolution numérique en elstoplasticite

Modélisation et Resolution

Modelisation et résolution sur CASTEM

Simulation d'une brasure

Simulation d'une brasure sur des boitiers electroniques. Master diplome d'ingénieur.

Simulation d'une brasure sur des boitiers electroniques embaqués dans les véhicules.

Probleme Inverse et opérateur de Green

Dans le cadre du maste en mathématique à lUSJ fac. Des Sciences Dpt. de Math.

Résolution d'un problème inverse par l'opérateur de Green

Méthode d'homogénéisation

Dans le cadre Master de Math à l'USJ Fac. des Sciences

Il s'agit d'une homogénéisation tridimensionelle à petit paramètre d'un milieu présentant des trous.


Native or bilingual proficiency


Full professional proficiency


Native or bilingual proficiency