Integral Methods in Science and Engineering: Study and Solutions of Mathematical Models

This volume contains a collection of articles on state-of-the-art developments in the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this book are based on talks given at the Eighteenth International Conference on Integral Methods in Science and Engineering, held in Macaé, Brazil in August 2024, and are written by internationally recognized researchers. This collection will be of interest to researchers in applied mathematics, physics, and mechanical, electrical, and petroleum engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential working tool.

Christian Constanda is the holder of the C.W. Oliphant Chair in Mathematics at the University of Tulsa, USA, Emeritus Professor at the University of Strathclyde in Glasgow, UK, and the chairman of the Steering Committee of the International Consortium on Integral Methods in Science and Engineering. His list of publications includes 42 books and over 150 journal papers. He has taught mathematics at universities in four countries on three continents.

 Bardo E.J. Bodmann is a Professor at the Engineering School of the Federal University of Rio Grande do Sul, Porto Alegre, RS, Brazil and co-chairman of the Integral Methods in Science and Engineering Consortium. In his career, he has (co-)authored over 100 articles in international scientific journals, several book chapters, and a few books. His current research interests focus on mathematical methods for solving classical as well as quantum transport problems. The latter also cover physical Monte Carlo simulations using parametrizations for multi-dimensional probability density functions and spectral distributions.

Paul J. Harris is a Reader in Applied Mathematics at the University of Brighton and co-chairman of the Integral Methods in Science and Engineering Consortium. He has worked on the use of numerical methods to solve problems in applied mathematics for over 30 years. These problems include computational acoustics and explosion bubble dynamics. More recently, Dr Harris has concentrated on using mathematics to solve biomedical problems, including modelling the formation of cavities in the spinal cord and how cells move in response to chemical signals.