Optimization and Approximation

• Main Author: Pedregal, Pablo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: UNITEXT, 108
• Subjects: Mathematics.; Computer programming.; Approximation theory.; Calculus of variations.; Calculus of Variations and Optimal Control; Optimization.; Mathematical and Computational Engineering.; Approximations and Expansions.; Programming Techniques.

This book provides a basic, initial resource, introducing science and engineering students to the field of optimization. It covers three main areas: mathematical programming, calculus of variations and optimal control, highlighting the ideas and concepts and offering insights into the importance of...

Table of Contents:

• 1 Overview. Part I Mathematical Programming. - 2 Linear Programming
• 3 Nonlinear programming
• 4 Numerical approximation
• Part II Variational problems
• 5 Basic theory for variational problems 6 Numerical approximation of variational problems
• Part III Optimal Control
• 7 Basic facts about optimal control . 8 Numerical approximation of basic optimal control problems, and dynamic programming. Part IV Appendix
• 9 Hints and solutions to exercises. .