Dr. Shahbaz Ahmad
Assistant Professor of Mathematics
Department: Abdus Salam School of Mathematical Sciences
📞 +92 322 3713979 | ✉️ shahbazahmad@sms.edu.pk
Research Interest
Numerical Analysis, Machine Learning, Scientific Computing, Image Processing
Biography
Dr. Shahbaz Ahmad is an academician and researcher in Applied Mathematics with over 10 years of university teaching experience and expertise in Numerical Analysis, Scientific Computing, Machine Learning, and Data-Driven Modeling. He holds a Ph.D. in Mathematics from King Fahd University of Petroleum & Minerals (KFUPM), Saudi Arabia. His research focuses on developing advanced computational methods for image processing, fluid dynamics, inverse problems, and artificial intelligence applications. He has published extensively in international journals and has supervised graduate research in applied mathematics and computational science.
Education
PhD in Mathematics – King Fahd University of Petroleum & Minerals, Saudi Arabia (2020)
MPhil in Mathematics – Government College University Lahore, Pakistan (2008)
Teaching Area
Digital Image Processing, Numerical Analysis-I, Numerical Analysis-II, Numerical Methods for PDEs, Mathematical Modelling, Numerical Linear Algebra, Mathematics for Machine Learning.
Teaching Experience
2021 – To date – Assistant Professor, Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan
2020 – 2021 – Lecturer, Department of Mathematics & Statistics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia
2011 – 2015 – Assistant Professor, Department of Mathematics, Punjab Higher Education Department, Lahore, Pakistan
2005 – 2011 – Lecturer, Department of Mathematics, GC University, Lahore, Pakistan
Journal Papers
2026
- Shahbaz Ahmad, and Hifsa "A New Modified Variable s-Step BiCGSTAB Method with Regularization for Solving Shifted Linear Systems", Computational and Applied Mathematics, 45 (15) 2026, Impact Factor 2.5. https://doi.org/10.1007/s40314-025-03390-w
- Shahbaz Ahmad, Shahid Saleem Abid Iqbal, Saad Arif "Efficient Multigrid Method for Dense Regularization in Fractional-Order Image Deblurring", AIMS Mathematics, 11 (4) 10159-10174, Impact Factor 2.739. doi:10.3934/math.2026419
- Shahbaz Ahmad, Neha Zaman, Muhammad Asif, Muhammad Qasim, Aaqib Hussain Shah, Anam Shahzadi, Faizan Arshid, Muhammad Israr "PDFP-enhanced physics-informed neural networks for solving higher-order PDEs: Application to engineering beam problems", Mechanical Engineering Advances, 4 (1), Impact Factor 2.1. https://doi.org/10.59400/mea4125
2025
- Azhar Iqbal, Shahbaz Ahmad, Junseok Kim "Two-Level method for blind image deblurring problems", Applied Mathematics and Computation, 485, 129008, IF=3.5. doi.org/10.1016/j.amc.2024.129008
- Ashia Mobeen, Shahbaz Ahmad and Faisal Fairag "Non-blind constraint image deblurring problem with mean curvature functional", Numerical Algorithms, 98(4), 1703-1723, IF=2.2. doi.org/10.1007/s11075-024-01848-2
- Ashia Mobeen, Shahbaz Ahmad, Faisal Fairag "Manifold Regularization Model for Image Deblurring: A Point Integral Approach to Laplace-Beltrami Equation", Physics Letters A, 559, 130914, IF=2.6. doi.org/10.1016/j.physleta.2025.130914
- Shahbaz Ahmad, and Wasif Khan "Optimizing Convergence: GMRES Preconditioner for Darcy Flow Problem in a Fracture Network", Computational Geosciences, 29(1), 1-15, IF=2.1. doi.org/10.1007/s10596-024-10332-8
- Rizwan Khalid, Shahbaz Ahmad, Mohamed Medani, Yahia Said, Iftikhar Ali "Efficient Preconditioning Strategies for Accelerating GMRES in Block Structured Nonlinear Systems for Image Deblurring", PLOS ONE, 6(20), e0322146, IF=2.9. doi.org/10.1371/journal.pone.0322146
- Rizwan Khalid, Shahbaz Ahmad, Iftikhar Ali, Manuel De la Sen "Enhanced BiCGSTAB with Restrictive Preconditioning for Nonlinear Systems: A Mean Curvature Image Deblurring Approach", Mathematical and Computational Applications, 30(4), 76, IF=2.1. doi.org/10.3390/mca30040076
- Jamil Abbas Haider, Shahbaz Ahmad, Khaled A Gepreel, RA Rahman "Multifaceted simulation: Finite volume and finite element modeling of blood flow in multiple stenosed arteries", Modern Physics Letters B, 39(3), 2450395, IF=1.9. doi.org/10.1142/S0217984924503950
- Jamil Abbas Haider, Shahbaz Ahmad, Sohail Nadeem "Mathematical modeling of electroosmotic flow and thermal transport in stenotic tapered arteries using finite difference method", Modern Physics Letters B, 39(3), 2550117, IF=1.9. doi.org/10.1142/S0217984925501179
- Jamil Abbas Haider, Shahbaz Ahmad, Roobaea Alroobaea, Ibrahim E Elseesy "Applications of the Homotopy-based Fourier transform method for the dynamic solutions of differential equations", Modern Physics Letters B, 2450462, IF=1.9. doi.org/10.1142/S0217984924504621
- Shahbaz Ahmad, and Muhammad Israr "A Preconditioned Quasi-Newton Optimizer for Efficient Training of PINNs", Machine Learning for Computational Science and Engineering 1(34), IF=0.7. doi.org/10.1007/s44379-025-00035-x
- M. Israr, W. Afzal, Shahbaz Ahmad, D. Breaz "Enhancing Deep Image Prior with Multiscale Attention, SVD Pooling, and Preconditioned Optimizers for Image Processing", European Journal Of Pure And Applied Mathematics 18(4), 6638-6638, IF=1.03. doi.org/10.29020/nybg.ejpam.v18i4.6638
- Shahbaz Ahmad, Gunesh, Manuel De la Sen "Joint Computational Study of Global Stability and Parameter Estimation in SEIR Models Using a Physics-Informed Neural Network", Journal of Applied Analysis and Computation 16(1), 426-457, IF=1.1. doi.org/10.11948/20250153
2024
- Shahbaz Ahmad "Optimized Five-by-Five Block Preconditioning for Efficient GMRES Convergence in Curvature-Based Image Deblurring", Computers and Mathematics with Applications, 175, 174-183, IF=2.9. doi.org/10.1016/j.camwa.2024.09.026
- Shahid Saleem, Faisal Fairag, Adel M Al-Mahdi, Mohammad M Al-Gharabli, and Shahbaz Ahmad "Conformable fractional order variation-based image deblurring", Partial Differential Equations in Applied Mathematics, 11, 100827, IF=5.23. doi.org/10.1016/j.padiff.2024.100827
- Jamil Abbas Haider, Shahbaz Ahmad and Sohail Nadeem "Dynamical properties of Nonlinear oscillators by the variational iteration method", Scientia Iranica, 2450208, IF=1.4. doi.org/10.24200/SCI.2024.61682.7439
- Muhammad Farhan Hanif, Hasan Mahmood, Shahbaz Ahmad, Mohamed Abubakar "On comparative analysis of a two dimensional star gold structure via regression models", Scientific Reports, 14(1), 15712, IF=4.6. doi.org/10.1038/s41598-024-66395-1
- Muhammad Waqas Ashraf, Jamil Abbas Haider, Hassan Ali Ghazwani, Shahbaz Ahmad, Zhoushun Zheng, Sana Gul "Force convective heat transfer simulation in a rectangular channel with multiple square obstacles via finite element method", Modern Physics Letters B, 2450244, IF=1.9. doi.org/10.1142/S0217984924502440
- Hamza Hameed, FD Zaman, Shahbaz Ahmad, Hassan Ali "Novel results from quadratically nonlinear elastic wave models using Murnaghan's potential", Arabian Journal of Mathematics, 13(3), 533-548, IF=0.9. doi.org/10.1007/s40065-024-00479-8
- Muhammad Farhan Hanif, Hasan Mahmood, Shahbaz Ahmad "On degree-based entropy measure for zero-divisor graphs", Discrete Mathematics, Algorithms and Applications, 2350104, IF=1.2. doi.org/10.1142/S1793830923501045
- AIK Butt, W Ahmad, HG Rabbani, M Rafiq, Shahbaz Ahmad, N Ahmad, S Malik "Exploring optimal control strategies in a nonlinear fractional bi-susceptible model for Covid-19 dynamics using Atangana-Baleanu derivative", Scientific Reports, 14(1), 31617, IF=4.6. doi.org/10.1038/s41598-024-80218-3
- Jamil Abbas Haider, Shahbaz Ahmad, Hassan Ali Ghazwani, Mohamed Hussien, Musawa Yahya Almusawa, Emad A Az-Zo'bi "Results validation by using finite volume method for the blood flow with magnetohydrodynamics and hybrid nanofluids", Modern Physics Letters B, 2450208, IF=1.9. doi.org/10.1142/S0217984924502087
- L Guo, M Younis, H Ahmad, M Özturk, FU Din, Shahbaz Ahmad "Convergence results for controlled contractions and applications to a system of Volterra integral equations", Applied Mathematics in Science and Engineering, 32(1), 2424909, IF=1.2. doi.org/10.1080/27690911.2024.2424909
- Muhammad Farhan Hanif, Hasan Mahmood, Shahbaz Ahmad, Mohamed Abubakar Fiidow "On physical analysis of phthalocyanine iron (II) using topological descriptor and curve fitting models", Scientific Reports, 14(1), 18611, IF=4.6. doi:10.1038/s41598-024-71356-9
2023
- Junseok Kim and Shahbaz Ahmad "On the preconditioning of the primal form of TFOV-based image deblurring model", Scientific Reports, 13(1), 17422, IF=4.6. doi.org/10.1038/s41598-023-44511-x
- Shahid Saleem, Shahbaz Ahmad and Junseok Kim "Total Fractional-Order Variation-Based Constraint Image Deblurring Problem", Mathematics, 11(13), 2869, IF=2.592. doi.org/10.3390/math11132869
- Muhammad Amir, Jamil Abbas Haider, Shahbaz Ahmad, Sana Gul and Asifa Ashraf "Approximate Solution of Painlevé Equation I by Natural Decomposition Method and Laplace Decomposition Method", Acta Mechanica et Automatica, 17(3), 417-422, IF=1.462. DOI 10.2478/ama-2023-0048
2022
- Shahbaz Ahmad, Faisal Fairag, Adel Al-Mahdi and Jamshaid ul Rehman "Preconditioned augmented Lagrangian method for mean curvature image deblurring", AIMS Mathematics, 7(10), 17989-18009, IF=2.739. doi:10.3934/math.2022991
- Faisal Fairag, Ke Chen and Shahbaz Ahmad "An effective algorithm for mean curvature-based image deblurring problem", Computational and Applied Mathematics, 41, 176, IF=2.621. doi.org/10.1007/s40314-022-01865-8
- Faisal Fairag, Ke Chen, Carlos Brito-Loeza and Shahbaz Ahmad "A two-level method for image denoising and image deblurring models using mean curvature regularization", International Journal of Computer Mathematics, 99(4), 1-18, IF=1.931. doi.org/10.1080/00207160.2021.1929939
- Jamil Abbas Haider and Shahbaz Ahmad "Dynamics of the Rabinowitsch fluid in a reduced form of elliptic duct using finite volume method", International Journal of Modern Physics B, 2250217, IF=1.219. doi.org/10.1142/S0217979222502174
2021
- Faisal Fairag, Ke Chen, and Shahbaz Ahmad "Analysis of CCFD method for mean curvature-based image denoising problem", Electronic Transactions on Numerical Analysis, 54, 108-127, IF=1.261. doi.org/10.1553/etna_vol54s108
- Shahbaz Ahmad, Adel Al-Mahdi and Rashad Ahmed "Two new preconditioners for mean curvature-based image deblurring problem", AIMS Mathematics, 12(6), 13824-13844, IF=2.739. doi:10.3934/math.2021802
- Shahbaz Ahmad and Faisal Fairag "Circulant preconditioners for MC-based image deblurring problem", Journal of Algorithms and Computational Technology, IF=1.64. doi.org/10.1177/17483026211055679
2020
- Faisal Fairag, Adel Al-Mahdi and Shahbaz Ahmad "Two-level method for the total fractional-order variation modal in image deblurring problem", Numerical Algorithms, 85 (3), 931-950, IF=2.46. doi.org/10.1007/s11075-019-00845-0
Selected Conference Presentations
- Presented talk in "Ghana Numerical Analysis Day 2022" August 24-25, 2022. Event link
- Presented talk in "Kick-off workshop TES on Mathematics in Real-World Challenges" Berlin, Germany, October 6-8, 2021. Event link
- Presented talk in "8th International Conference on Modeling Simulation and Applied Optimization (ICMSAO)" Manama, Bahrain, April 15-17, 2019. Conference website
