Mathematics is a universal language. Differential equations,
mathematical modeling, numerical methods and computation form the
underlying infrastructure of engineering and the sciences. In this
context mathematical modeling is a very powerful tool for studying
engineering problems, natural systems and human society. This
interdisciplinary book contains a comprehensive overview, including
practical examples, of the progress achieved to date in the
modeling of coupled phenomena, computational mathematics and
mechanics, heat transfer, fluid-structure interactions,
biomechanics, and the flow of mass and energy in porous media.
Numerical subjects such as grid generation, optimization, finite
elements, finite differences, spectral methods, boundary elements,
finite volumes and meshless methods are also discussed in detail
using real examples.
The book provides a thorough presentation of the existing
numerical techniques with specific applications to concrete,
practical topics. The models and solutions presented here describe
various systems: mechanical, biological, geophysical, technical,
ecological, etc. The book is organized in thirty six chapters, each
written by distinguished experts in their respective fields. The
topics presented cover the current state of knowledge in numerical
engineering practice including recent and ongoing developments and
the presentation of new ideas for future research on applied
computational engineering mathematics.
The book will be of interest to scientists working in
engineering (structural, civil, mechanical), geology, geophysics,
aquifer research, petroleum engineering, applied mathematics, and
physics, as well as students in any of these areas.
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