CURRICULUM VITAE. Dr. Idir Mechai Department of Mathematics Jazan University

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1 CURRICULUM VITAE Dr. Idir Mechai Department of Mathematics Jazan University URL: OBJECTIVES: Interests of research and/or teaching in Applied Mathematics. RESEARCH INTERESTS: Numerical Analysis, Scientific Computing, Ordinary and Partial. Differential Equations, Applied and Computational Mathematics,. Error Estimation and Adaptivity, Computational Solid and Fluid. Mechanics, Stabilization and Control theory. AREAS OF EXPERIENCES: Numerical Analysis, Scientific Computing, Applied Mathematics,. Computational Fluid Dynamics, Stabilization and Control theory. EDUCATION: Ph.D. Mathematics, Virginia Tech March 19, 2012 Dissertation Title: A posteriori Error Analysis for a Discontinuous. Galerkin Method Applied to Hyperbolic Problems on Tetrahedral. Meshes M.S. Mathematics, 2009 Virginia Tech M.S Mathematics (Partial Differential Equations) 2005 University of Algiers, U.S.T.H.B Dissertation Title: Boundary Stabilization for Full Von Karman System B.S. Mathematics 2002 University of Algiers, U.S.T.H.B 1

2 PROFESSIONAL CAREER: Aug June 2016 Assistant Professor, Jazan University, Saudi Arabia May 2012 Graduate Teaching/Research Assistant, Department of Mathematics, Virginia Tech Instructor, Department of Mathematics, National Polytechnic School, Algiers Part-time teacher, Department of Mathematics, National Polytechnic School, Algiers. COURSES TAUGHT: Jazan University, Saudi Arabia Course Title Term Year C. hours # Students Differential Equation I, Math 331 Spring Mathematical Methods, Math 433 Spring Calculus I Fall Numerical Analysis I Fall Calculus, Math 201 (Physics and Chemistry Students) Fall Differential Equation, Math 202 (Physics and Chemistry Students) Spring Mathematical Methods, Math 433 Spring Differential Equation, Math 202 (Physics and Chemistry Students) Fall Mathematical Methods, Math 433 Fall Calculus I Fall Mathematical Methods, Math 433 Spring Calculus I Spring Calculus I I Spring Mathematical Methods, Math 433 Fall Calculus (Physics and Chemistry Students) Fall Differential Equation II, Math 332 Spring Mathematical Methods, Math 433 Spring

3 Calculus 2 Spring Differential Equation, Math 332 Fall Mathematical Methods, Math 433 Fall Virginia Polytechnic Institute, USA Course Title Term Year C. hours # Students Multivariable Calculus (Grading) Fall Multivariable Calculus (Grading) Spring Vector geometry (Recitation) Spring Differential Calculus, Math 1205 Fall Vector geometry, Math 1224 Summer Integral Calculus, Math 1206 Fall Differential Calculus, Math 1205 Spring Differential Equation, Math 332 Fall Mathematical Methods, Math 433 Fall National Polytechnic School, Algeria Course Title Term Year C. hours # Students Differential Calculus (Recitation) Fall Integral Calculus (Recitation) Spring Differential Calculus Fall Integral Calculus Spring COURSES DETAILS: Jazan University, Department of Mathematics (Saudi Arabia) Differential Equation: Taught with full responsibility, Topics included higher order differential equations with variables coefficients, system of differential equations, use variation of parameters, the method of undetermined coefficients and power series to solve differential equations, boundary value problems, Stability of solution. Mathematical Method, Math 433: Fourier Series and Fourier Integration Laplace transformation and 3

4 applications, Special Functions (Gamma, Beta, Bissell, Legendre, Laguerre and Hermit functions). Calculus, Calculus I and II,: Topics included Functions, Limits and continuity, Derivatives of functions, Applications of differentiation, Indefinite Integration, Methods of integration, Definite Integration, Application of Integration, Improper Integrals. Virginia Tech, Department of Mathematics (USA) Integral Calculus, Math 1206 (Fall 2011): Taught with full responsibility, including determining and grading assignments, developing tests, holding office hours, and assigning course grades. Topics included integration, numerical integration, integral calculus with applications, definite integrals, indefinite integrals, areas and volumes. Vector geometry, Math 1224 (Summer II 2011): Introductory course in vector geometry. Topics included vectors in various two and three-dimensional coordinate systems, vector algebra, and projectile motion. This course includes recitation which covers mathematics supplementing the units and the lectures. Students work in groups on worksheets provided by the recitation instructor. Taught with full responsibility including determining and grading assignments, office hours. Differential Calculus, Math 1205 (Fall 2010): Differential calculus for functions of a single variable. Part of the freshman sequence for students in engineering, building construction, chemistry, computer science, geological sciences, mathematics, physics, and statistics. Taught with full responsibility, including determining and grading assignments, developing tests, holding office hours, and assigning course grades. Topics included limits, continuity, differentiation, applications of differentiation of functions of a single variable. Vector geometry, Math 1224 (Spring 2010): Introductory course in vector geometry. Topics included vectors in various two and three-dimensional coordinate systems, vector algebra, and projectile motion. This course includes recitation which covers mathematics supplementing the units and the lectures. Students work in groups on worksheets provided by the recitation instructor. Also includes a weekly three hour lab Math Emporium. Taught with full responsibility for the recitation, including determining and grading assignments, office hours, assist students at the Math Emporium. Multivariable Calculus, Math 2224 (Fall 2007, Spring 2008): Partial differentiation, multiple integration, and infinite series. I had a full responsibility for grading assignments. National Polytechnic School, Algiers (Algeria) Mathematical Analysis, (Fall 2006, spring 2007): Taught with full responsibility, including determining and grading assignments, developing tests, holding office hours, and assigning course grades. Topics included differential, limits, continuity, differentiation, applications of differentiation of functions for a single variable, integral calculus with applications, antiderivatives, definite integrals, the Fundamental Theorem of Calculus, Trigonometric calculus, indefinite integrals, areas and volumes, multivariable differential 4

5 calculus and elementary. This course includes also recitation which covers mathematics supplementing the units and the lectures. Students work in groups on worksheets provided by the recitation instructor. Mathematical Analysis (Fall 2004, Spring 2006): Taught with full responsibility for the recitation, including determining and grading assignments, office hours. PROFESSIONAL ORGANIZATIONS AND ACTIVITIES: Member: Society Industrial and Applied Mathematics (SIAM) Member: American Mathematical Society (AMS) CONFERENCES & SEMINARS 1. Geometric phase and entanglement of three-level atom with and without rotating wave approximation, 5th International Conference on Mathematics & Information Sciences Feb , 2016, Egypt. 2. A Superconvergent Discontinuous Galerkin Method for Hyperbolic Problems on Tetrahedral Meshes, Gulf International Conference On Applied Mathematics, Nov The 2012 John H. Barrett Lectures (Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations), Department of Mathematics, University of Tennessee, Knoxville, May 9-11, A Posteriori Discontinuous Galerkin Error Estimation on Unstructured Tetrahedral Meshes. U.S. National Congress on Computational Mechanics (USNCCM), Minnesota, Jul The Discontinuous Galerkin Method for Hyperbolic Problems on Tetrahedral Meshes: A Posteriori Error Estimation in Different Finite Element Spaces. SIAM Conference, Computational Science and Engineering (CSE), Reno, Feb The Discontinuous Galerkin Method for Hyperbolic Problems on Tetrahedral Meshes: A Posteriori Error Estimation, SIAM Student Chapter, Virginia Tech, Blacksburg, Feb The Discontinuous Galerkin Method for Hyperbolic Problems on Tetrahedral Meshes: A Posteriori Error Estimation in Different Finite Element Spaces. Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE), Virginia Tech, Blacksburg The Discontinuous Galerkin Method for Hyperbolic Problems on Tetrahedral Meshes: A Posteriori Error Estimation, SIAM Student Conference, Virginia Tech, Blacksburg

6 9. The Discontinuous Galerkin Method for Hyperbolic Problems on Tetrahedral Meshes: A Posteriori Error Estimation, SIAM Southeastern-Atlantic Section March, North Carolina State University, Third SIAM Southeastern-Atlantic Section Conference, University of South Carolina, April TAMTAM'07ALGER, 3ème colloque sur les Tendances dans les Applications Mathématiques en Tunisie, Algérie, Apr Second School of Geometry and Dynamic Systems, Department of Mathematics, USTHB, Algiers Jul PUBLICATIONS: 1. S. Adjerid, and I. Mechai, A Posteriori Discontinuous Galerkin Error Estimation on Tetrahedral Meshes. Comput. Methods Appl. Mech. Engrg (2012) S. Adjerid, and I. Mechai, The Discontinuous Galerkin Method for Hyperbolic Problems on Tetrahedral Meshes: Superconvergence Error Analysis. Journal of Scientific Computing January 2014, Volume 58, Issue 1, pp A. Almarashi, I. Mechai, M. Alghamedi, Neural Networks Approximations for a Multivariable Real Functions Using Redig Basis. International Journal of Computer and Mathematical Sciences, Novenber 15 Volume 4 Issue 11 ISSN F. Soltani, A. Almarashi, I. Mechai, Numerical applications of Tikhonov regularization for the Fourier multiplier operators. Applied and Computational Harmonic Analysis (Submitted April 2015) 5. S.Abdel-Khalek, Y.S.El-Saman, I. Mechai, and M. Abdel-Aty, Geometric phase and entanglement of three-levelatom with and without rotating wave approximation. (Ready to submit) 6. S. Adjerid, and I. Mechai, Discontinuous Galerkin Error Estimation for Linear Symmetric Hyperbolic Systems on Tetrahedral Meshes. (In progress). HONORS / AWARDS: - Department of Mathematics, College of Science, Jazan University, 2012/ Department of Mathematics, College of Science, Jazan University, 2013/1014 6

7 LANGUAGES CAPABILITIES: English and French: Arabic: Kabyle: Fluent written, read, spoken. Native tongue. Mother tongue. COMPUTER SKILLS: Operating Systems: Languages: Software: Win200, WinXP, Win.Vista, Win7, Linux, UNIX, Ms-Dos Macintosh operating systems. HTML, FORTRAN, C, C++, LaTex Maple, Mathematica, FEMlab, Matlab, Comsol, Scientific WorkPlace, MS-Office REFERENCES*: Prof. Slimane Adjerid, 424 McBryde Hall, Virginia Tech, Blacksburg, VA , Prof. Tao Lin, 520 McBryde Hall, Virginia Tech, Blacksburg, VA 24061, , Dr. Helmi Temimi, Gulf University for Science and Technology , * Additional references available on request 7

Experience Research Associate Penn State University

Contact Information 203 McAllister Building Department of Mathematics The Pennsylvania State University State College, PA E-mail: linama@psu.edu Experience Research Associate Penn State University Aug