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

Fabio Silva Botelho

ISBN 10: 1032192100 / ISBN 13: 9781032192109

Published by CRC Press, 2025

About this Item

The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering | Fabio Silva Botelho | Taschenbuch | Einband - flex.(Paperback) | Englisch | 2025 | CRC Press | EAN 9781032192109 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand.

Seller Inventory # 134095243

Bibliographic Details

• Title: The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering
• Publisher: CRC Press
• Publication Date: 2025
• Language: English
• ISBN 10: 1032192100
• ISBN 13: 9781032192109
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 234W x 156H x 18D millimeters 234 millimeters width by 156 millimeters height by 18 millimeters depth
• Weight: 500 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

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.