1st Edition
by Ismael Herrera (Author), George F. Pinder (Author)
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:
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Mechanics of classical and non-classical continuous systems
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Solute transport by a free fluid
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Flow of a fluid in a porous medium
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Multiphase systems
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Enhanced oil recovery
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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.
