Exploring Modern Frontiers in Numerical Analysis
Ebimene James Mamadu *
Department of Mathematics, Delta State University, Abraka, 330106, Nigeria.
Ebikonbo-Owei Anthony Mamadu
Department of Mathematics, Delta State University, Abraka, 330106, Nigeria and Department of Mathematics, Micheal and Cecilia Ibru University, Agbarha-Otor, Delta State, Nigeria.
Jude Chukwuyem Nwankwo
Department of Mathematics, University of Delta, Agbor, Delta State, Nigeria.
Daniel Chinedu Iweobodo
Dennis Osadebey University, Asaba, Delta State, Nigeria.
Onos Destiny Erhiakporeh
Department of Applied Computer Science and Artificial Intelligence, University of Bradford BD7 1DP, UK.
Jonathan Tsetimi
Department of Mathematics, Delta State University, Abraka, 330106, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This study investigates contemporary fields in numerical analysis, including a broad range of state-of-the-art approaches and strategies that tackle difficult computational problems in many scientific and engineering fields. Each field offers a distinct perspective and method to address complex computational issues, ranging from machine learning and data-driven techniques to high-performance computing, quantum numerics, multiscale modeling, sparse and structured linear algebra, inverse problems, uncertainty quantification, optimization and control, and symbolic-numeric computing. Each area's importance is analyzed, emphasizing its theoretical underpinnings, computational techniques, and real-world applications in many industries. By means of multidisciplinary cooperation and the assimilation of mathematical precision with computational methodologies, scholars endeavor to propel understanding, stimulate original thought, and confront significant obstacles, including anything from biological simulations and climate modeling to engineering optimization and management.
Keywords: MIC gas tragedy, Numerical analysis, After effects, mathematical computing, Serum proteins and immunoglobulin pattern, symbolic-numeric computing, high-performance computing, computational algorithms