Overview
- Covers mathematical modeling across a large range of spatial and time scales of Earth phenomena
- Provides numerical methods and HPC simulations for the corresponding partial differential equation models
- Includes geophysical interpretations and actual applications
Part of the book series: CIMAT Lectures in Mathematical Sciences (CIMATLMS)
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Table of contents (6 chapters)
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Front Matter
Keywords
About this book
The physical laws dictating the evolution of such phenomena lead to the unifying theme of this manuscript, that is, the mathematical and computational modeling of flows and waves. Consequently, the underlying models are given in terms of Partial Differential Equations (PDEs) whose solutions are approximated using numerical methods, thus providing simulations of the aforementioned phenomena, as well as the appropriate geophysical validation and interpretation.
Editors and Affiliations
About the editors
Prof. Moreles research interests are multidisciplinary, Mathematical Modeling, Numerical Analysis, Partial Differential Equations. Some recent publications are on Mathematical modeling and simulation of geophysical phenomena.
He has mentored 6 Ph.D. and more that 20 master students. The degrees conferred are in Applied Mathematics, Computer Science and Engineering.
Prof. Moreles has edited several Lecture Notes in the series Notes on Modeling and Numerical Methods, edited by CIMAT – CIMNE. He has also Edited Numerical Methods Conference Proceedings.
Prof. Moreles was the Mexican leader of the project Partial Differential Equations related to waves and inverse problems: applications to Physics, Biology and Clean Energy. CONACYT - ECOS NORD. 2016 – 2019. During the project, he was a regular visitor at INSA-Rouen. In R&D, Prof. Moreles has participated in Computational Modeling Projects for PEMEX, the Mexican Oil Company: Air injection as an enhanced oil recovery process, and Alternating water and gas injection as an enhanced oil recovery process (2010 - 2013).Gerardo Hernández-Dueñas obtained his Ph. D. in 2011 from the Department of Mathematics at The University of Michigan – Ann Arbor, where he worked in the areas of semiclassical analysis and hyperbolic conservation laws. He was a Van Vleck visiting assistant professor at the Department of Mathematics, University of Wisconsin – Madison. He is an associate professor at the Institute of Mathematics, UNAM-Juriquilla, currently under a sabbatical visit at NorthWest Research Associates in Seattle.
As the PI of 5 grants, his research interests have focused in the areas of Applied Mathematics and Atmospheric Sciences, Numerical Analysis of Hyperbolic Conservation Laws, Geophysical Fluid Dynamics, Semiclassical Analysis and Turbulence.
Prof. Hernandez-Dueñas has mentored 5 undergraduate students and is currently mentoring one Ph.D. student, one master student and two postdocs.
Bibliographic Information
Book Title: Mathematical and Computational Models of Flows and Waves in Geophysics
Editors: Gerardo Hernández-Dueñas, Miguel Angel Moreles
Series Title: CIMAT Lectures in Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-031-12007-7
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-031-12006-0Published: 04 November 2022
Softcover ISBN: 978-3-031-12009-1Published: 05 November 2023
eBook ISBN: 978-3-031-12007-7Published: 03 November 2022
Series ISSN: 2731-6521
Series E-ISSN: 2731-653X
Edition Number: 1
Number of Pages: IX, 195
Number of Illustrations: 1 b/w illustrations
Topics: Computational Mathematics and Numerical Analysis, Geophysics/Geodesy