User:Mbaccouch
Mahboub Baccouch is currently an associate professor of applied and computational mathematics at the University of Nebraska at Omaha (UNO). He received his Ph.D degree in mathematics in May 2008 from Virginia Tech. He has been a tenure-track assistant professor in the department of mathematics at UNO since fall 2008. He has been promoted to Associate Professor with tenure in the Fall of 2014.
Dr. Mahboub Baccouch's research interest is in numerical analysis and computational methods in science and engineering. He is conducting top quality research by addressing pressing issues in finite element methods and computational science. Currently, Mahboub is working in the general area of Computational Mathematics and, more specifically, on numerical methods for PDEs. Most of his work is on the so-called discontinuous Galerkin (DG) and local DG (LDG) methods. These numerical methods are very popular since they provide high-order accurate approximations on arbitrary meshes for a wide variety of PDEs. He is working on the development of a posteriori error estimates, which are of great practical applications as they allow us to know how close we are from the exact solution without actually knowing it. He is also conducting top quality research by addressing pressing issues in the finite element method and computational science. His traditional area of expertise is related to robust numerical methods for solving a wide range of problems in engineering described by differential equations. This is a vast and well-developed discipline with applied mathematics. His research involves performing rigorous mathematical analysis and developing of algorithms and computer programs. Recently, he began investigating a new research area related to numerical methods for the solution of stochastic differential equations.