Mathematical Modeling in Science and Engineering : An Axiomatic Approach

Herrera, Ismael; Pinder, George F.

ISBN 10: 1118087577 / ISBN 13: 9781118087572

Edité par Wiley, 2012

N° de réf. du vendeur 12274342-n

Synopsis :

"Mathematical and computational modeling (MCM) can be used in a diverse set of applications making it a very appealing and potent modeling tool. This book uses a novel and powerful procedural approach to teaching MCM, the Axiomatic Approach, which permits incorporating in a single model, systems that occur in many different branches of science and engineering.This book focuses on the mathematical models, in which processes to be modeled are expressed as a system of partial differential equations. It introduces a systematic method for constructing such models, which can be applied to any macroscopic physical system. This latter feature of the Axiomatic Approach is very valuable when treating new systems, since it permits formulating the models of previously unknown systems. Using it, many of the systems of most common occurrence in engineering practice are introduced and discussed. The effectiveness of this approach is reflected in the broadness and importance of the subjects treated; they cover a great diversity of topics that are basic in many branches of engineering including: Civil Engineering, Mechanical Engineering, Petroleum Engineering, and Water Resources.These topics include: Flow of fluids and transport of solutes which are free to move in the physical space and where fluids may be restricted to move in a porous medium. The transport of solutes is fundamental in Environmental Engineering Water Resources and Petroleum Engineering since it is the means of predicting contaminant behavior. The porous medium based equations are also used to model Enhanced Oil Recovery which is very important for sustaining the oil supply of the world. Model of static and dynamic elasticity are used in several branches of engineering including Foundation and Seismic Engineering"--

À propos de l?auteur: ISMAEL HERRERA, PhD. in Applied Mathematics, Brown University, is Distinguished Professor in the Natural Resources Department of the Geophysics Institute at the Universidad Nacional Autónoma de México. He is the Editor of Numerical Methods for Partial Differential Equations and President of the Mexican Society of Numerical Methods in Engineering and Applied Sciences. Dr. Herrera has received the National Science, Mexican Academy of Sciences, and Luis Elizondo Awards, the three most prestigious awards in Mexico granted for scientific achievement.

GEORGE F. PINDER, PhD, has a primary appointment as Professor of Engineering with secondary appointments as Professor of Mathematics and Statistics and Professor of Computer Science at the University of Vermont. He is the author, or co-author, of nine books on mathematical modeling, numerical mathematics, and flow and transport through porous media. He is a recipient of numerous national and international honors and is a member of the National Academy of Engineering.

Détails bibliographiques

Titre : Mathematical Modeling in Science and ...
Éditeur : Wiley
Date d'édition : 2012
Reliure : Couverture rigide
Etat : New