The Fractional Laplacian
Chapman & Hall/CRC (Verlag)
978-1-4987-4615-1 (ISBN)
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Presents the material at a level suitable for a broad audience of scientists and engineers with rudimentary background in ordinary differential equations and integral calculus
Clarifies the concept of the fractional Laplacian for functions in one, two, three, or an arbitrary number of dimensions defined over the entire space, satisfying periodicity conditions, or restricted to a finite domain
Covers physical and mathematical concepts as well as detailed mathematical derivations
Develops a numerical framework for solving differential equations involving the fractional Laplacian and presents specific algorithms accompanied by numerical results in one, two, and three dimensions
Discusses viscous flow and physical examples from scientific and engineering disciplines
Written by a prolific author well known for his contributions in fluid mechanics, biomechanics, applied mathematics, scientific computing, and computer science, the book emphasizes fundamental ideas and practical numerical computation. It includes original material and novel numerical methods.
Constantine Pozrikidis is a professor at the University of Massachusetts Amherst. He is well known for his contributions in fluid mechanics, biomechanics, applied mathematics, scientific computing, and computer science. He is the author of numerous research papers and books, including the highly recommended Chapman & Hall/CRC books Introduction to Finite and Spectral Element Methods Using MATLAB®, Second Edition; XML in Scientific Computing; Computational Hydrodynamics of Capsules and Biological Cells; Modeling and Simulation of Capsules and Biological Cells; and A Practical Guide to Boundary Element Methods with the Software Library BEMLIB.
The fractional Laplacian in one dimension. Numerical discretization in one dimension. Further concepts in one dimension. Periodic functions. The fractional Laplacian in three dimensions. The fractional Laplacian in two dimensions. Appendices. References. Index.
| Erscheinungsdatum | 03.03.2016 |
|---|---|
| Zusatzinfo | 10 Tables, black and white; 74 Illustrations, black and white |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Gewicht | 544 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| ISBN-10 | 1-4987-4615-2 / 1498746152 |
| ISBN-13 | 978-1-4987-4615-1 / 9781498746151 |
| Zustand | Neuware |
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