Currently advising students:

• Neethu Suma Raveendran, Ph.D. candidate, expected 2027

Papers:

1. Efficient, accurate, and robust penalty-projection algorithm for parameterized stochastic Navier-Stokes flow problems, N.S. Raveendran, M.A. Aziz, S.S. Ravindran and M. Mohebujjaman, Applied Numerical Mathematics, 223, 235-254, 2026.

2. Numerical Analysis and Testing of Efficient Ensemble Eddy Viscosity Algorithms for high-Reynolds-number Stochastic Flow Problems, B. N. Berry, M. M. Islam, M. Mohebujjaman, and N. S. Raveendran, submitted, 2026. Preprint.

• Md Abdul Aziz, Ph.D. candidate, expected 2026

Papers: 

1. Efficient, accurate, and robust penalty-projection algorithm for parameterized stochastic Navier-Stokes flow problems, N.S. Raveendran, M.A. Aziz, S.S. Ravindran and M. Mohebujjaman, Applied Numerical Mathematics, 223, 235-254, 2026.

2. Self-adaptive physics-informed neural network for forward and inverse problems in heterogeneous porous flow, M. A. Aziz, T. Strauss, M. Mohebujjaman, and T. Khan, submitted, 2025. Preprint.

• Md Mahmudul Islam, Ph.D. candidate, expected 2027

Papers: 

1. Numerical Analysis and Testing of Efficient Ensemble Eddy Viscosity Algorithms for high-Reynolds-number Stochastic Flow Problems, B. N. Berry, M. M. Islam, M. Mohebujjaman, and N. S. Raveendran, submitted, 2026. Preprint.

2. An Efficient Second-Order-in-Time Penalty-Projection Ensemble Eddy Viscosity Method for Parameterized Navier-Stokes Flows, M. M. Islam, M. Mohebujjaman, and J. Alam, submitted, 2026. Preprint. 

Previously advised student:

• Brandiece Berry, M.S. thesis, Deal.II Implementation of an efficient and robust parameterized ensemble algorithm for incompressible Navier-Stokes flow in the convection-dominated regimes,  Spring 2025. Current job: Academic Support Coordinator at the University of Virginia, Charlottesville, VA

Paper: 

1. Numerical Analysis and Testing of Efficient Ensemble Eddy Viscosity Algorithms for high-Reynolds-number Stochastic Flow Problems, B. N. Berry, M. M. Islam, M. Mohebujjaman, and N. S. Raveendran, submitted, 2026.

• Julian V. Miranda, M.S. thesis, Texas A&M International University, Summer 2023. Current job: Senior Software Quality Engineer at Lockheed Martin

Paper:

1. An Efficient and Accurate  Penalty-projection Eddy Viscosity Algorithm for Stochastic Magnetohydrodynamic Flow Problems, M. Mohebujjaman, J. Miranda, M. A. A. Mahbub, M. Xiao,  Journal of Scientific Computing, 101 (2), 2024.

• Julian V. Miranda, Undergraduate thesis, Texas A&M International University, Spring 2022. (Stayed for M.S.) 

• Clarisa Buenrostro, Undergraduate thesis, Texas A&M International University, Spring 2022.

Papers:

1. Decoupled algorithms for non-linearly coupled reaction–diffusion competition model with harvesting and stocking, Muhammad Mohebujjaman, Clarisa Buenrostro, Md Kamrujjaman, Taufiquar Khan, Journal of Computational and Applied Mathematics, 436, 115421, 2024. Link.

2. Interplay of harvesting and the growth rate for spatially diversified populations and the testing of a decoupled scheme, Md Mashih Ibn Yasin Adan, Md Kamrujjaman, Md Mamun Molla, Muhammad Mohebujjaman, Clarisa Buenrostro, Mathematical Biosciences and Engineering, 20(4), 6374-6399, 2023. Link.