北京雁栖湖应用数学研究院 北京雁栖湖应用数学研究院

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清华大学 "求真书院"
清华大学丘成桐数学科学中心
清华三亚国际数学论坛
上海数学与交叉学科研究院
河套数学与交叉学科研究院
BIMSA > ICMRA 系列讲座 ICMRA 系列讲座 Advancing Nonlinear Analysis in Science and Engineering through Hermite–Padé Computational Paradigm
Advancing Nonlinear Analysis in Science and Engineering through Hermite–Padé Computational Paradigm
组织者
张晓明
演讲者
Oluwole Daniel Makinde
时间
2026年06月08日 14:00 至 15:00
地点
A3-1-301
线上
Zoom 518 868 7656 (BIMSA)
摘要
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.
演讲者介绍
Prof. Oluwole Daniel Makinde is an eminent Professor of Applied Mathematics and Computation with over 28 years of professorial experience in South African universities. He is currently affiliated with the Faculty of Military Science at Stellenbosch University, South Africa, and also acts as a visiting distinguished professor at several other universities. He previously held positions as Senior Professor and Chair of Postgraduate Studies at Cape Peninsula University of Technology (2008–2013) and Full Professor & Head of Applied Mathematics at the University of Limpopo (1998–2008). He earned a BSc (First-Class Honours) in Mathematics from Obafemi Awolowo University, Nigeria (1987), an MSc in Applied Mathematics from the same university, and a PhD in Applied Mathematics and Computations from the University of Bristol, UK (1996) under a Commonwealth scholarship.

Prof. Makinde has received numerous awards, including the African Union Kwame Nkrumah Continental Scientific Award (2011), the NRF T.W. Kambule Senior Researcher Award (2009/2010), the Nigerian National Honour MFR (2014), the Obada Prize for Distinguished International Researcher (2021), and the N’Guerekata Excellence in Mathematics International Award (2024). He is a Fellow of the International Academy of Physical Sciences (FIAPS, 2018) and the Nigerian Mathematical Society (2023). He serves as editor-in-chief of the African Journal of Industrial and Applied Mathematics and on the editorial board of several reputable journals. He has authored/edited over 13 advanced research textbooks and published over 750 research papers. According to Google Scholar, his current metrics are: H-index 88, citations 33,201, and i10-index 570. He is listed among the world’s top 2% scientists by Stanford University and Elsevier BV. He has supervised over 44 PhDs and 76 MSc candidates. He is currently Vice President of the African Mathematical Union for Southern Africa (2022–2026) and co-founder/Vice-President of the African Society for Industrial and Applied Mathematics (ASIAM).

He is visiting BIMSA with a support from the "ICMRA Visiting Scholars Program".
北京雁栖湖应用数学研究院
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