Fabio Silva Botelho

The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering (eBook, PDF)

• Format: PDF

Produktbeschreibung

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 auxiliary tool in an engineering and physics projects.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 328
• Erscheinungstermin: 6. Februar 2024
• Englisch
• ISBN-13: 9781003848424
• Artikelnr.: 69585854

Autorenporträt

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.

Inhaltsangabe

SECTION I: THE GENERALIZED METHOD OF LINES. The Generalized Method of Lines
Applied to a Ginzburg-Landau Type Equation. An Approximate Proximal
Numerical Procedure Concerning the Generalized Method of Lines. Approximate
Numerical Procedures for the Navier-Stokes System through the Generalized
Method of Lines. An Approximate Numerical Method for Ordinary Differential
Equation Systems with Applications to a Flight Mechanics Model. SECTION II:
CALCULUS OF VARIATIONS, CONVEX ANALYSIS AND RESTRICTED OPTIMIZATION. Basic
Topics on the Calculus of Variations. More topics on the Calculus of
Variations. Convex Analysis and Duality Theory. Constrained Variational
Optimization. On Lagrange Multiplier Theorems for Non-Smooth Optimization
for a Large Class of Variational Models in Banach Spaces. SECTION III:
DUALITY PRINCIPLES AND RELATED NUMERICAL EXAMPLES THROUGH THE ENERALIZED
METHOD OF LINES. A Convex Dual Formulation for a Large Class of Non-Convex
Models in Variational Optimization. Duality Principles and Numerical
Procedures for a Large Class of Non-Convex Models in the Calculus of
Variations. Dual Variational Formulations for a Large Class of Non-Convex
Models in the Calculus of Variations. A Note on the Korn's Inequality in a
n-Dimensional Context and a Global Existence Result for a Non-Linear Plate
Model. References.