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The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering

The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering

The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering Hardback - 2024

by Fabio Silva Botelho

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Hardcover. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; The book includes the theory and applications of generalization of the numerical method of lines. It is meant for applied mathematicians, physicists and engineers who use of numerical methods. The book should serve as a valuable auxilia
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Details

  • Title The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering
  • Author Fabio Silva Botelho
  • Binding Hardback
  • Condition New
  • Pages 314
  • Volumes 1
  • Language ENG
  • Publisher CRC Press
  • Publication date 2024-02-06
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • Bookseller's Inventory # ria9781032192093_inp
  • ISBN 9781032192093 / 1032192097
  • Weight 1.4 lbs (0.64 kg)
  • Dimensions 9.21 x 6.14 x 0.75 in (23.39 x 15.60 x 1.91 cm)
  • Category Mathematics
  • Library of Congress subjects Engineering - Mathematical models, Differential equations, Partial - Numerical
  • Library of Congress Catalogue Number 2023029895
  • Dewey Decimal Code 530.155
  • Quantity available 150

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Reader reviews for The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering

From the publisher

The book includes theoretical and applied results of a generalization of the numerical method of lines. A Ginzburg-Landau type equation comprises the initial application, with detailed explanations about the establishment of the general line expressions. Approximate numerical procedures have been developed for a variety of equation types, including the related algorithms and software. The applications include the Ginzburg-Landau system in superconductivity, applications to the Navier-Stokes system in fluid mechanics and, among others, models in flight mechanics. In its second and final parts, the book develops duality principles and numerical results for other similar and related models.

The book is meant for applied mathematicians, physicists and engineers interested in numerical methods and concerning duality theory. It is expected the text will serve as a valuable auxiliary project tool for some important engineering and physics fields of research.

About the author

Fabio Silva Botelho obtained a Ph.D. in Mathematics from Virginia Tech, USA in 2009. Prior to that he got an undergraduate (1992) and master degrees (1996) in Aeronautical Engineering both from the Technological Institute of Aeronautics, ITA, SP, Brazil.

From 2004 to 2015 he worked as an Assistant Professor at the Mathematics Department of Federal University of Pelotas in Brazil. Since April 2015, he has been working as an Adjunct Professor at the Mathematics Department of Federal University of Santa Catarina, in Florianopolis, SC, Brazil.

He is the author of three books - Functional Analysis and Applied Optimization in Banach Spaces (2014), Real Analysis and Applications (2018) published by Springer; and Functional Analysis, Calculus Variations and Numerical Methods for Models in Physics and Engineering (2020), published by CRC Press.

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