Dr. Akhtar Ali

Basic Information

Brief Statement of research work

My main research interests include nonlinear dynamical systems, scientific computing, sequential and parallel programming on CPU?GPU architectures, mathematical modelling, numerical analysis, and machine learning from a rigorous mathematical perspective. I am particularly interested in developing mathematically grounded machine learning methods and integrating data-driven approaches with differential equations, optimization, and scientific computing. I am also concerned with developing accurate mathematical models of real-world phenomena together with efficient numerical methods for their solution, supported by solid theoretical foundations. Recently, I have been working on solvers for large systems of nonlinear and linear partial differential equations using the finite element method. My research further explores the interaction between machine learning and computational mathematics, including scientific machine learning, physics-informed models, and data-assisted numerical methods for complex systems. My professional goal is to develop and apply advanced mathematical and computational tools to problems governed by partial differential equations and ordinary differential equations, with a strong emphasis on interdisciplinary and collaborative research.