Fabio Silva Botelho
The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering
Fabio Silva Botelho
The Numerical Method of Lines and Duality Principles Applied to Models in Physics and Engineering
- Gebundenes Buch
- Merkliste
- Auf die Merkliste
- Bewerten Bewerten
- Teilen
- Produkt teilen
- Produkterinnerung
- Produkterinnerung
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.
Andere Kunden interessierten sich auch für
- Fabio Silva BotelhoFunctional Analysis, Calculus of Variations and Numerical Methods for Models in Physics and Engineering261,99 €
- Timothy BowerIntroduction to Computational Engineering with MATLAB(R)219,99 €
- Omri RandAnalytical Methods in Anisotropic Elasticity57,00 €
- Duc Thai NguyenFinite Element Methods:76,99 €
- P. Wesseling (ed.)High Performance Computing in Fluid Dynamics108,99 €
- Nonlinear Science and Complexity110,99 €
- Darrell W PepperThe Finite Element Method220,99 €
-
-
-
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.
Produktdetails
- Produktdetails
- Verlag: Taylor & Francis Ltd (Sales)
- Seitenzahl: 314
- Erscheinungstermin: 6. Februar 2024
- Englisch
- Abmessung: 234mm x 156mm x 19mm
- Gewicht: 635g
- ISBN-13: 9781032192093
- ISBN-10: 1032192097
- Artikelnr.: 69432975
- Verlag: Taylor & Francis Ltd (Sales)
- Seitenzahl: 314
- Erscheinungstermin: 6. Februar 2024
- Englisch
- Abmessung: 234mm x 156mm x 19mm
- Gewicht: 635g
- ISBN-13: 9781032192093
- ISBN-10: 1032192097
- Artikelnr.: 69432975
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.
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.
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.
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.
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.