Jeffrey B. Rauch
Dr. Jeffrey B. Rauch has a profound understanding of Partial Differential Equations (PDE), particularly those of hyperbolic type, and serves as Professor Emeritus in the Department of Mathematics at the University of Michigan. His research delves into the intricate world of short wavelength asymptotic analysis, non-reflective and absorbing layers in numerical methods, and the mathematics underpinning high-powered lasers. Through his work, Dr. Rauch has significantly contributed to the field of mathematical physics, employing analytical tools to explore complex phenomena. With a keen interest in the intersections of differential geometry and topology, Dr. Rauch's expertise extends beyond traditional boundaries, fostering interdisciplinary collaborations that enrich the mathematical community. His approach to PDE is characterized by a deep appreciation for the diverse problems it presents, offering numerous opportunities for innovative solutions and cross-disciplinary partnerships. Throughout his career, Dr. Rauch has been dedicated to advancing the understanding of mathematical concepts, inspiring both students and colleagues with his passion for the subject. His work not only enhances theoretical knowledge but also has practical implications, particularly in areas requiring sophisticated numerical analysis and modeling. Dr. Rauch's contributions to the field are widely recognized, and his insights continue to influence the study and application of mathematics in various scientific domains. His commitment to exploring the complexities of PDE and related areas underscores his role as a leading figure in the mathematical community.
Publications
, 277-282, 1977-06-01
, 511-538, 2021-09-01
, 839-863, 2011-09-01