BIMSA > ICMRA Seminar Series ICMRA Seminar Series Advancing Nonlinear Analysis in Science and Engineering through Hermite–Padé Computational Paradigm
Advancing Nonlinear Analysis in Science and Engineering through Hermite–Padé Computational Paradigm
Organizers
Tahereh Eftekhari , Pipi Hu , Xin Liang , Zhiting Ma , Hamid Mofidi , Chunmei Su , Axel G.R. Turnquist , Li Wang , Fansheng Xiong , Shuo Yang , Wuyue Yang , Xiaoming John Zhang
Speaker
Oluwole Daniel Makinde
Time
Wednesday, June 10, 2026 2:00 PM - 3:00 PM
Venue
A3-4-312
Online
Zoom 518 868 7656 (BIMSA)
Abstract
Nonlinear processes are fundamental to numerous problems in science and engineering, yet they remain difficult to treat accurately due to analytical intractability and the limitations of conventional numerical methods. This study introduces a robust computational methodology based on Hermite–Padé approximation to address key challenges in the analysis and solution of nonlinear systems. The approach systematically integrates series expansions with Hermite–Padé rational approximants, resulting in improved convergence, enhanced numerical stability, and an extended range of validity beyond that achievable with classical perturbation techniques. By reformulating the governing nonlinear equations into a computationally efficient structure, the framework enables precise resolution of strong nonlinear effects, including singularities and multiscale interactions. Its effectiveness is demonstrated through representative problems in applied mathematics, physics, and engineering, where it consistently outperforms standard numerical and semi-analytical methods in terms of accuracy, stability, and convergence. Overall, the proposed Hermite–Padé-based computational methodology provides a powerful and flexible tool for advancing the analysis of complex nonlinear systems and overcoming longstanding challenges associated with nonlinearity.