Overview
- Illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering
- The chapters are written by scientists with established credentials in their fields
- Examines problems that arise in real-life processes and phenomena
- Covers a wide spectrum of subjects, ranging from spectral computation, to atmospheric pollutant dispersion, to transmission problems, to boundary layer theory, and many more
- For a broad audience of graduate students, researchers, and professionals in pure and applied mathematics, physics, biology, and civil and mechanical engineering
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Table of contents (32 chapters)
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Front Matter
Keywords
About this book
The physical world is studied by means of mathematical models, which consist of differential, integral, and integro-differential equations accompanied by a large assortment of initial and boundary conditions. In certain circumstances, such models yield exact analytic solutions. When they do not, they are solved numerically by means of various approximation schemes. Whether analytic or numerical, these solutions share a common feature: they are constructed by means of the powerful tool of integration—the focus of this self-contained book.
An outgrowth of the Ninth International Conference on Integral Methods in Science and Engineering, this work illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering. The thirty two chapters of the book, written by scientists with established credentials in their fields, contain state-of-the-art information on current research in a variety of important practical disciplines. The problems examined arise in real-life processes and phenomena, and the solution techniques range from theoretical integral equations to finite and boundary elements.
Specific topics covered include spectral computations, atmospheric pollutant dispersion, vibration of drilling masts, bending of thermoelastic plates, homogenization, equilibria in nonlinear elasticity, modeling of syringomyelia, fractional diffusion equations, operators on Lipschitz domains, systems with concentrated masses, transmission problems, equilibrium shape of axisymmetric vesicles, boundary layer theory, and many more.
Integral Methods in Science and Engineering is a useful and practical guide to a variety of topics of interest to pure and applied mathematicians, physicists, biologists, and civil and mechanical engineers, at both the professional and graduate student level.
Reviews
From the reviews:
“The international conferences with the generic title of Integral Methods in Science and Engineering (IMSE) are forum where academics and other researches whose really significantly (analytic or numerical) ntegration methods in their integrations present their newest results and exchange ideas related to future projects. The book contains 32 articles esented at IMSE2006. … The remarkable original papers included in this volume offer to researchers a rich scientific support in this area.” (Ariadna Lucia Pletea, Iasi Polytechnic Magazine, Vol. 21 (1/4), March/December, 2009)Editors and Affiliations
Bibliographic Information
Book Title: Integral Methods in Science and Engineering
Book Subtitle: Techniques and Applications
Editors: C. Constanda, S. Potapenko
DOI: https://doi.org/10.1007/978-0-8176-4671-4
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2008
Hardcover ISBN: 978-0-8176-4670-7Published: 13 November 2007
eBook ISBN: 978-0-8176-4671-4Published: 03 November 2007
Edition Number: 1
Number of Pages: XVI, 298
Number of Illustrations: 62 b/w illustrations
Topics: Integral Equations, Mathematical and Computational Engineering, Applications of Mathematics, Computational Intelligence, Ordinary Differential Equations, Partial Differential Equations