Organizers: Prof. Dr. Saima Akram, Government College Women University Faisalabad, Pakistan, Center of Research and Innovation, Asia International University, Bukhara, Uzbekistan.
Email: saimaakram@gcwuf.edu.pk
In an age where artificial intelligence learns, data multiplies by the second, and decisions across science, engineering, and finance are driven by computation, one truth stands firm, none of it moves without fast, accurate, and reliable numerical algorithms. Since countless problems reduce to nonlinear equations or systems, their solution lies at the core of computational mathematics. This session will present recent advances in the design, rigorous analysis, and efficient implementation of such algorithms, emphasizing iterative methods for nonlinear equations and systems, including optimal multipoint, derivative-free, with-memory, fractional-order, and multiple-root schemes, together with their convergence, stability, computational efficiency, and dynamical analysis through basins of attraction. Further themes include numerical methods for differential equations, numerical linear algebra, optimization, high-performance computing, and machine-learning-assisted computation. Applications to engineering, chemical reactor modelling, biomedical systems, nanofluid dynamics, celestial mechanics, and artificial intelligence are encouraged, and theoretical and applied contributions are warmly welcomed.