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The Fractional Laplacian

By: (Author) C. Pozrikidis

Extended Catalogue

Ksh 32,400.00

Format: Hardback or Cased Book

ISBN-10: 1498746152

ISBN-13: 9781498746151

Publisher: Taylor & Francis Inc

Imprint: Chapman & Hall/CRC

Country of Manufacture: US

Country of Publication: GB

Publication Date: Feb 24th, 2016

Print length: 278 Pages

Weight: 572 grams

Dimensions (height x width x thickness): 16.40 x 24.10 x 2.20 cms

Product Classification: Set theory
Applied mathematics

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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.

The fractional Laplacian, also called the Riesz fractional derivative, describes an unusual diffusion process associated with random excursions. The Fractional Laplacian 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.

  • 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.


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