Power Series Solutions to Nonlinear Ordinary Differential Equations:

Nathaniel S. Barlow is an associate professor in the School of Mathematics and Statistics at Rochester Institute of Technology (RIT), where he has been a faculty member since 2014. A recipient of teaching awards at both RIT and Clarkson University, he has been coordinator of the Computational Mathematics and Applied Mathematics undergraduate programs at RIT since 2022. In addition to the topics of this book, his research interests are in fluid mechanics with a focus on algebraic wave instabilities and the modeling of thin liquid sheets.

Steven J. Weinstein is a professor at Rochester Institute of Technology (RIT), in the chemical engineering department, which he founded and chaired until 2023. Prior to joining RIT in 2007, he worked at Eastman Kodak Company for 18 years. At Kodak, he focused on the mathematical and experimental underpinnings of coating engineering science, including among many topical areas, thin film flows, wave stability, and die manifold design. His teaching and research span interfacial fluid mechanics, experimental and theoretical coating applications, flow instabilities, and asymptotic methods.

Both authors are faculty in RIT’s mathematical modeling Ph.D. program and are affiliate members of RIT’s Center for Computational Relativity and Gravitation. They have authored numerous peer-reviewed publications that utilize power series methods to obtain analytical solutions to problems arising in diverse areas of mathematical physics.