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

Botelho, Fabio Silva

 
9781032192093: The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering
Hardcover
ISBN 10: 1032192097 ISBN 13: 9781032192093
Publisher: CRC Press, 2024

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.

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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.

"About this title" may belong to another edition of this title.

Publisher
CRC Press
Publication date
2024
Language
English
ISBN 10 
1032192097
ISBN 13 
9781032192093
Binding
Hardcover
Edition number
1
Number of pages
314

Other Popular Editions of the Same Title

9781032192109: The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering

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ISBN 10:  1032192100 ISBN 13:  9781032192109
Publisher: CRC Press, 2025
Softcover