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

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Fabio Silva Botelho (Federal University of Santa Catarina, Brazil) Alexandre Molter (UFPEL)

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

Fabio Silva Botelho (Federal University of Santa Catarina, Brazil), Alexandre Molter (UFPEL)

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English

CRC Press
06 February 2024

Numerical analysis; Applied mathematics; Fluid mechanics; Mechanical engineering; Environmental science, engineering & technology

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.

By: Fabio Silva Botelho (Federal University of Santa Catarina Brazil), Alexandre Molter (UFPEL)
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 770g
ISBN: 9781032192093
ISBN 10: 1032192097
Pages: 314
Publication Date: 06 February 2024
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

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.