CV

 

Publications

 

 

 

 

Kassem Mustapha is a Professor of Computational and Numerical Mathematics at the Department of Mathematics and Statistics within King Fahd University of Petroleum and Minerals (KFUPM). He was awarded his PhD degree from the University of New South Wales (UNSW) in 2004. Then took on a Postdoc position at the UNSW.  In 2006, he moved to KFUPM as an Assistant Professor. He was promoted to a full professor in 2015. Since January 2015, Professor Mustapha is serving as an Associate Editor of the SIAM Journal on Scientific Computing.

The current focus of Professor Mustapha's research is on proposing efficient computable high-order discontinuous Galerkin methods for various three-dimensional fractional diffusion models, with applications in science and engineering. This includes the cases of variable and hetergenuous diffusivity. He published several interesting articles (in top journals) in this field, in collaboration with experts (in Numerical Analysis) from different universities. We refer the interested readers to the selected publications below.

 Postal Address: Department of Mathematics and Statistics, KFUPM, Dhahran 31261, Saudi Arabia

 Location: 203-5, Building 5, Phone: +966 13 860 7199, Email: kassem@kfupm.edu.sa 

 

 

 

 

 

Recent External Grants:
NSTIP grant (697600 SR):  K. Mustapha and B. Cockburn: Efficient numerical methods for simulating fractional diffusion models, Sep. 2014 to Sep. 2016.

 ARC discovery grant (345000 AUD):  B. Henry, W. McLean and K. Mustapha,    Advanced mathematical modeling and computation of fractional sub-diffusion problems in complex domains, Jan. 2014 to Dec. 2016. 

 

 

 

 Selected Publications:

 

 

1- W. McLean & K. M.,  Time-stepping error bounds for fractional diffusion problems with non-smooth initial data, J. Comput. Phys., 293 (2015) 

2- K. M., Time-stepping discontinuous Galerkin methods for fractional diffusion problems, Numer. Math., 130 (2015) 

3- B. Cockburn & K. M., A hybridizable discontinuous Galerkin method for fractional diffusion problems, Numer. Math., 130 (2015)

4- K. M., B. Abdallah & K. Furati, A discontinuous Petrov-Galerkin method for time-fractional diffusion equations, SINUM, 52 (2014)

5- K. M. & D. Schoetzau, Well-posedness of hp-version discontinuous Galerkin methods for fractional diffusion wave equations, IMA J. Numer. Anal., 34 (2014)

6- K. M. & W. McLean, Superconvergence of a discontinuous Galerkin method for fractional order diffusion and wave equations, SINUM, 51 (2013)

7- K. M., A superconvergent discontinuous Galerkin method for Volterra integro-differential equations, Math. Comp., 82 (2013)              

8- K. M. & W. McLean, Uniform convergence for a discontinuous Galerkin, time stepping method applied to a fractional diffusion equation, IMA. J. Numer. Anal., 32 (2012)    

9- K. M., H. Brunner, H. Mustapha, & D. Schoetzau, An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type, SINUM, 49 (2011)  

10- K. M., The hp- and h- versions of the discontinuous and local discontinuous Galerkin methods for one-dimensional singularly perturbed models, Appl. Numer. Math., 61 (2011)

11-  K. M., An implicit finite difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements, IMA. J. Numer. Anal., 31 (2011)

12-  K. M. & W. McLean, Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation, Numer. Algorithms, 56 (2011)

13-  K. M. & H. Mustapha, A second-order accurate numerical method for a semi-linear integro-differential equation with a weakly singular kernel, IMA J. Numer. Anal., 30 (2010)

14- K. M. & W. McLean, Discontinuous Galerkin method for an evolution equation with a positive type memory term, Math. Comp., 78 (2009)

15-  H. Mustapha & K. M., A new approach to simulating flow in discrete fracture networks with an optimized mesh, SISC, 29 (2007)

16-  W. McLean  & K. M., A second-order accurate numerical method for a fractional wave equation, Numer. Math., 105 (2007)