The Fractional Laplacian - Pozrikidis, C.
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This book explores applications of the fractional Laplacian in science, engineering, and other areas where long-range interactions and conceptual or physical particle jumps resulting in an irregular diffusive or conductive flux are encountered. The book covers the fractional Laplacian in one, two, three, and arbitrary dimensions and develops a numerical framework for solving differential equations involving the fractional Laplacian. It presents physical and mathematical concepts as well as detailed mathematical derivations.

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Produktbeschreibung
This book explores applications of the fractional Laplacian in science, engineering, and other areas where long-range interactions and conceptual or physical particle jumps resulting in an irregular diffusive or conductive flux are encountered. The book covers the fractional Laplacian in one, two, three, and arbitrary dimensions and develops a numerical framework for solving differential equations involving the fractional Laplacian. It presents physical and mathematical concepts as well as detailed mathematical derivations.
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Autorenporträt
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.