Numerical methods and optimization: theory and practice for engineers

By:

Corriou, Jean-Pierre

Material type: Text

TextSeries: Springer Optimization and Its Applications (SOIA, volume 187)Publication details: Cham Springer 2021Description: xx, 715 pISBN:

9783030893682

Subject(s):

Applied mathematics

DDC classification:

519.6 COR

Summary: This text, covering a very large span of numerical methods and optimization, is primarily aimed at advanced undergraduate and graduate students. A background in calculus and linear algebra are the only mathematical requirements. The abundance of advanced methods and practical applications will be attractive to scientists and researchers working in different branches of engineering. The reader is progressively introduced to general numerical methods and optimization algorithms in each chapter. Examples accompany the various methods and guide the students to a better understanding of the applications. The user is often provided with the opportunity to verify their results with complex programming code. Each chapter ends with graduated exercises which furnish the student with new cases to study as well as ideas for exam/homework problems for the instructor. A set of programs made in Matlab™ is available on the author’s personal website and presents both numerical and optimization methods. (https://link.springer.com/book/10.1007/978-3-030-89366-8)

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Book	Indian Institute of Management LRC General Stacks	Operations Management & Quantitative Techniques	519.6 COR (Browse shelf(Opens below))	1	Available		009055

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Previous	519.57 TAB Design and analysis of experiments and observational studies using R	519.6 ANT Practical optimization: algorithms and engineering applications	519.6 CON Optimization via relaxation and decomposition: applications to large-scale engineering problems	519.6 COR Numerical methods and optimization: theory and practice for engineers	519.6 FOX Nonlinear optimization:	519.6 VAN Linear programming: foundations and extensions	519.64 CRA Combinatorial optimization and applications: a tribute to bernard gendron	Next

Table of contents:
Front Matter
Pages i-xx
Download chapter PDF
Interpolation and Approximation
Jean-Pierre Corriou
Pages 1-44
Numerical Integration
Jean-Pierre Corriou
Pages 45-67
Equation Solving by Iterative Methods
Jean-Pierre Corriou
Pages 69-106
Numerical Operations on Matrices
Jean-Pierre Corriou
Pages 107-148
Numerical Solution of Systems of Algebraic Equations
Jean-Pierre Corriou
Pages 149-187
Numerical Integration of Ordinary Differential Equations
Jean-Pierre Corriou
Pages 189-237
Numerical Integration of Partial Differential Equations
Jean-Pierre Corriou
Pages 239-454
Analytical Methods for Optimization
Jean-Pierre Corriou
Pages 455-503
Numerical Methods of Optimization
Jean-Pierre Corriou
Pages 505-574
Linear Programming
Jean-Pierre Corriou
Pages 575-622
Quadratic Programming and Nonlinear Optimization
Jean-Pierre Corriou
Pages 623-651
Dynamic Optimization
Jean-Pierre Corriou
Pages 653-708
Back Matter
Pages 709-715

[https://link.springer.com/book/10.1007/978-3-030-89366-8]

This text, covering a very large span of numerical methods and optimization, is primarily aimed at advanced undergraduate and graduate students. A background in calculus and linear algebra are the only mathematical requirements. The abundance of advanced methods and practical applications will be attractive to scientists and researchers working in different branches of engineering. The reader is progressively introduced to general numerical methods and optimization algorithms in each chapter. Examples accompany the various methods and guide the students to a better understanding of the applications. The user is often provided with the opportunity to verify their results with complex programming code. Each chapter ends with graduated exercises which furnish the student with new cases to study as well as ideas for exam/homework problems for the instructor. A set of programs made in Matlab™ is available on the author’s personal website and presents both numerical and optimization methods.

(https://link.springer.com/book/10.1007/978-3-030-89366-8)

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