King Fahd University of Petroleum and Minerals

output

19932026

most citedDynamical decoupling and noise spectroscopy with a superconducting flux qubit

880 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2014 · math.NAShow all

5 papers · 2 filters

math.NA2014

Convergence and superconvergence analyses of HDG methods for time fractional diffusion problems

Kassem Mustapha, Maher Nour, Bernardo Cockburn

We study the hybridizable discontinuous Galerkin (HDG) method for the spatial discretization of time fractional diffusion models with Caputo derivative of order $0 < α < 1$ . For each t…

math.NA2014

A hybridizable discontinuous Galerkin method for fractional diffusion problems

Bernardo Cockburn, Kassem Mustapha

We study the use of the hybridizable discontinuous Galerkin (HDG) method for numerically solving fractional diffusion equations of order $- α$ with $- 1 < α < 0$ . For exact time-marching…

math.NA2014

Time-stepping discontinuous Galerkin methods for fractional diffusion problems

Kassem Mustapha

Time-stepping $h p$ -versions discontinuous Galerkin (DG) methods for the numerical solution of fractional subdiffusion problems of order $- α$ with $- 1 < α < 0$ will be proposed and anal…

math.NA2014

A discontinuous Petrov-Galerkin method for time-fractional diffusion equations

Kassem Mustapha, Basheer Abdallah, Khaled Furati

We propose and analyze a time-stepping discontinuous Petrov-Galerkin method combined with the continuous conforming finite element method in space for the numerical solution of tim…

math.NA2014★ 92 cited

Time-stepping error bounds for fractional diffusion problems with non-smooth initial data

William McLean, Kassem Mustapha

We apply the piecewise constant, discontinuous Galerkin method to discretize a fractional diffusion equation with respect to time. Using Laplace transform techniques, we show that…