Discrete petrov-galerkin scheme for boundary value differential and integral problems: Theory and applications. - Mahadevan Ganesh; Rolf Dieter Grigorieff; Kassem Mustapha 001 (Math. Comput. Model., 2004)

A fully discrete H 1-Galerkin method with quadrature for nonlinear advection-diffusion-reaction equations. - Mahadevan Ganesh; Kassem Mustapha 001 (Numer. Algorithms, 2006)

A second-order accurate numerical method for a fractional wave equation. - William McLean; Kassem Mustapha 001 (Numerische Mathematik, 2007)

A New Approach to Simulating Flow in Discrete Fracture Networks with an Optimized Mesh. - Hussein Mustapha; Kassem Mustapha 001 (SIAM J. Sci. Comput., 2007)

Numerical solution for a sub-diffusion equation with a smooth kernel. - Kassem Mustapha 001 (J. Comput. Appl. Math., 2009)

Discontinuous Galerkin method for an evolution equation with a memory term of positive type. - Kassem Mustapha 001; William McLean (Math. Comput., 2009)

Convergence analysis of a discontinuous Galerkin method for a sub-diffusion equation. - William McLean; Kassem Mustapha 001 (Numer. Algorithms, 2009)

Underground flow simulations using parallel finite element method. - Hussein Mustapha; Abir Ghorayeb; K. A. Mustapha 001 (Comput. Geosci., 2010)

An efficient parallel mixed method for flow simulations in heterogeneous geological media. - Hussein Mustapha; Abir Ghorayeb; Kassem Mustapha 001; Pierre Saramito (Int. J. Comput. Math., 2010)

Piecewise-linear, discontinuous Galerkin method for a fractional diffusion equation. - Kassem Mustapha 001; William McLean (Numer. Algorithms, 2011)

An hp-Version Discontinuous Galerkin Method for Integro-Differential Equations of Parabolic Type. - Kassem Mustapha 001; Hermann Brunner; Hussein Mustapha; Dominik Schötzau (SIAM J. Numer. Anal., 2011)

Corrigendum to "Underground flow simulations using parallel finite element method" [Computers & Geosciences 36 (2010) 161-166]. - Hussein Mustapha; Abir Ghorayeb; K. A. Mustapha 001 (Comput. Geosci., 2012)

A finite difference method for an anomalous sub-diffusion equation, theory and applications. - Kassem Mustapha 001; Jaafar AlMutawa (Numer. Algorithms, 2012)

Corrigendum to "Complex flow simulation in natural aquifer" [Adv. Eng. Inform. 23 (2009) 288-293]: An algorithm for parallel flow simulations in the finite element framework. - Hussein Mustapha; Abir Ghorayeb; K. A. Mustapha 001 (Adv. Eng. Informatics, 2013)

Post-processing discontinuous Galerkin solutions to Volterra integro-differential equations: Analysis and simulations. - Kassem Mustapha 001; Jennifer K. Ryan (J. Comput. Appl. Math., 2013)

A Superconvergent discontinuous Galerkin method for Volterra integro-differential equations, smooth and non-smooth kernels. - Kassem Mustapha 001 (Math. Comput., 2013)

Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations. - Kassem Mustapha 001; William McLean (SIAM J. Numer. Anal., 2013)

A Discontinuous Petrov-Galerkin Method for Time-Fractional Diffusion Equations. - Kassem Mustapha 001; B. Abdallah; Khaled M. Furati (SIAM J. Numer. Anal., 2014)

Time-stepping error bounds for fractional diffusion problems with non-smooth initial data. - William McLean; Kassem Mustapha 001 (J. Comput. Phys., 2015)

A hybridizable discontinuous Galerkin method for fractional diffusion problems. - Bernardo Cockburn; Kassem Mustapha 001 (Numerische Mathematik, 2015)

Time-stepping discontinuous Galerkin methods for fractional diffusion problems. - Kassem Mustapha 001 (Numerische Mathematik, 2015)

Convergence and superconvergence analyses of HDG methods for time fractional diffusion problems. - Kassem Mustapha 001; Maher Nour; Bernardo Cockburn (Adv. Comput. Math., 2016)

A discontinuous Galerkin method for time fractional diffusion equations with variable coefficients. - Kassem Mustapha 001; B. Abdallah; Khaled M. Furati; Maher Nour (Numer. Algorithms, 2016)

Numerical Solution of the Time-Fractional Fokker-Planck Equation with General Forcing. - Kim Ngan Le; William McLean; Kassem Mustapha 001 (SIAM J. Numer. Anal., 2016)

An inverse source problem for a two-parameter anomalous diffusion with local time datum. - Khaled M. Furati; Olaniyi Samuel Iyiola; Kassem Mustapha 001 (Comput. Math. Appl., 2017)

A modified memory-based mathematical model describing fluid flow in porous media. - Abiola D. Obembe; M. Enamul Hossain; Kassem Mustapha 001; Sidqi A. Abu-Khamsin (Comput. Math. Appl., 2017)

Particle Simulation of Fractional Diffusion Equations. - S. Allouch; M. Lucchesi; Olivier P. Le Maître; K. A. Mustapha 001; Omar M. Knio (CoRR, 2017)

Optimal Error Analysis of a FEM for Fractional Diffusion Problems by Energy Arguments. - Samir Karaa; Kassem Mustapha 001; Amiya Kumar Pani (J. Sci. Comput., 2018)

FEM for time-fractional diffusion equations, novel optimal error analyses. - Kassem Mustapha 001 (Math. Comput., 2018)

A Semidiscrete Finite Element Approximation of a Time-Fractional Fokker-Planck Equation with NonSmooth Initial Data. - Kim Ngan Le; William McLean; Kassem Mustapha 001 (SIAM J. Sci. Comput., 2018)

Mixed finite element analysis for generalized Darcy-Forchheimer model in porous media. - Johnson D. Audu; Faisal A. Fairag; Kassem Mustapha 001 (J. Comput. Appl. Math., 2019)

Regularity theory for time-fractional advection-diffusion-reaction equations. - William McLean; Kassem Mustapha 001; Raed Ali; Omar M. Knio (Comput. Math. Appl., 2020)

An L1 Approximation for a Fractional Reaction-Diffusion Equation, a Second-Order Error Analysis over Time-Graded Meshes. - Kassem Mustapha 001 (SIAM J. Numer. Anal., 2020)

Inverse source in two-parameter anomalous diffusion, numerical algorithms, and simulations over graded time meshes. - Khaled M. Furati; Kassem Mustapha 001; Ibrahim O. Sarumi; Olaniyi Samuel Iyiola (Comput. Appl. Math., 2021)

Erratum to "Regularity theory for time-fractional advection-diffusion-reaction equations" [Comput. Math. Appl. 79 (2020) 947-961]. - William McLean; Kassem Mustapha 001; Raed Ali; Omar M. Knio (Comput. Math. Appl., 2021)

A second-order accurate numerical scheme for a time-fractional Fokker-Planck equation. - Kassem Mustapha 001; Omar M. Knio; Olivier P. Le Maître (CoRR, 2021)

Generalized Exponential Time Differencing Schemes for Stiff Fractional Systems with Nonsmooth Source Term. - Ibrahim O. Sarumi; Khaled M. Furati; Abdul Q. M. Khaliq; Kassem Mustapha 001 (J. Sci. Comput., 2021)

Uniform stability for a spatially discrete, subdiffusive Fokker-Planck equation. - William McLean; Kassem Mustapha 001 (Numer. Algorithms, 2022)

Quasi-Monte Carlo sparse grid Galerkin finite element methods for linear elasticity equations with uncertainties. - Josef Dick; Quoc Thong Le Gia; Kassem Mustapha 001; Thanh Tran 003 (CoRR, 2023)

Efficient high-order exponential time differencing methods for nonlinear fractional differential models. - Ibrahim O. Sarumi; Khaled M. Furati; Kassem Mustapha 001; Abdul Q. M. Khaliq (Numer. Algorithms, 2023)

Error profile for discontinuous Galerkin time stepping of parabolic PDEs. - William McLean; Kassem Mustapha 001 (Numer. Algorithms, 2023)

An α-robust second-order accurate scheme for a subdiffusion equation. - Kassem Mustapha 001; William McLean; Josef Dick (CoRR, 2024)

High-order QMC nonconforming FEMs for nearly incompressible planar stochastic elasticity equations. - Josef Dick; Quoc Thong Le Gia; William McLean; Kassem Mustapha 001; T. Tran (CoRR, 2024)

A Locking-free modified conforming FEM for planar elasticity. - K. A. Mustapha 001; William McLean; Josef Dick; Quoc Thong Le Gia (CoRR, 2024)

Time-fractional diffusion equations with randomness, and efficient numerical estimations of expected values. - Josef Dick; Hecong Gao; William McLean; Kassem Mustapha 001 (CoRR, 2024)

Numerical approximations for a hyperbolic integrodifferential equation with a non-positive variable-sign kernel and nonlinear-nonlocal damping. - Wenlin Qiu; Xiangcheng Zheng; Kassem Mustapha 001 (CoRR, 2024)

A Mixed FEM for a Time-Fractional Fokker-Planck Model. - Samir Karaa; Kassem Mustapha 001; Naveed Ahmed 004 (J. Sci. Comput., 2024)

An α-Robust and Second-Order Accurate Scheme for a Subdiffusion Equation. - Kassem Mustapha 001; William McLean; Josef Dick (J. Sci. Comput., 2024)

Locking-Free Training of Physics-Informed Neural Network for Solving Nearly Incompressible Elasticity Equations. - Josef Dick; Seungchan Ko; Kassem Mustapha 001; Sanghyeon Park (CoRR, 2025)