A powerful, unified approach to mathematical and computational
modeling in science and engineering
Mathematical and computational modeling makes it possible to
predict the behavior of a broad range of systems across a broad
range of disciplines. This text guides students and professionals
through the axiomatic approach, a powerful method that will enable
them to easily master the principle types of mathematical and
computational models used in engineering and science. Readers will
discover that this axiomatic approach not only enables them to
systematically construct effective models, it also enables them to
apply these models to any macroscopic physical system.
Mathematical Modeling in Science and Engineering focuses
on models in which the processes to be modeled are expressed as
systems of partial differential equations. It begins with an
introductory discussion of the axiomatic formulation of basic
models, setting the foundation for further topics such as:
* Mechanics of classical and non-classical continuous systems
* Solute transport by a free fluid
* Flow of a fluid in a porous medium
* Multiphase systems
* Enhanced oil recovery
* Fluid mechanics
Throughout the text, diagrams are provided to help readers
visualize and better understand complex mathematical concepts. A
set of exercises at the end of each chapter enables readers to put
their new modeling skills into practice. There is also a
bibliography in each chapter to facilitate further investigation of
individual topics.
Mathematical Modeling in Science and Engineering is ideal
for both students and professionals across the many disciplines of
science and engineering that depend on mathematical and
computational modeling to predict and understand complex
systems.
Über den Autor
ISMAEL HERRERA, Ph D. 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, Ph D, 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.
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