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Numerical Methods and Optimization

Theory and Practice for Engineers

  • Textbook
  • © 2021

Overview

Authors:
  1. Jean-Pierre Corriou

    1. LRGP-CNRS-ENSIC, University of Lorraine, Nancy, France

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  • This text covers numerical methods and optimization and has an abundance of practical application
  • Exercises of varying level of difficulty give new examples and ideas for exam/homework problems
  • Accessible to students and engineers with some background in linear algebra and calculus

Part of the book series: Springer Optimization and Its Applications (SOIA, volume 187)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xx
    Download chapter PDF

  2. Interpolation and Approximation

    • Jean-Pierre Corriou
    Pages 1-44

  3. Numerical Integration

    • Jean-Pierre Corriou
    Pages 45-67

  4. Equation Solving by Iterative Methods

    • Jean-Pierre Corriou
    Pages 69-106

  5. Numerical Operations on Matrices

    • Jean-Pierre Corriou
    Pages 107-148

  6. Numerical Solution of Systems of Algebraic Equations

    • Jean-Pierre Corriou
    Pages 149-187

  7. Numerical Integration of Ordinary Differential Equations

    • Jean-Pierre Corriou
    Pages 189-237

  8. Numerical Integration of Partial Differential Equations

    • Jean-Pierre Corriou
    Pages 239-454

  9. Analytical Methods for Optimization

    • Jean-Pierre Corriou
    Pages 455-503

  10. Numerical Methods of Optimization

    • Jean-Pierre Corriou
    Pages 505-574

  11. Linear Programming

    • Jean-Pierre Corriou
    Pages 575-622

  12. Quadratic Programming and Nonlinear Optimization

    • Jean-Pierre Corriou
    Pages 623-651

  13. Dynamic Optimization

    • Jean-Pierre Corriou
    Pages 653-708

  14. Back Matter

    Pages 709-715
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Keywords

About this book

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.

Authors and Affiliations

  • LRGP-CNRS-ENSIC, University of Lorraine, Nancy, France

    Jean-Pierre Corriou

About the author

Jean-Pierre Corriou is Emeritus Professor of the University of Lorraine. He performs his research in the research group of Dynamic Optimization and Advanced Control of the Laboratory of Reactions and Chemical Engineering (LRGP). Prof. Corriou’s main research domains include dynamic simulation of complex processes and nonlinear control of processes. In addition to this present text, Prof. Corriou has published 2 editions of a textbook with Springer titled “Process Control --- Theory and Applications.”


Bibliographic Information

  • Book Title: Numerical Methods and Optimization

  • Book Subtitle: Theory and Practice for Engineers

  • Authors: Jean-Pierre Corriou

  • Series Title: Springer Optimization and Its Applications

  • DOI: https://doi.org/10.1007/978-3-030-89366-8

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-89365-1Published: 05 January 2022

  • Softcover ISBN: 978-3-030-89368-2Published: 06 January 2023

  • eBook ISBN: 978-3-030-89366-8Published: 04 January 2022

  • Series ISSN: 1931-6828

  • Series E-ISSN: 1931-6836

  • Edition Number: 1

  • Number of Pages: XX, 715

  • Number of Illustrations: 74 b/w illustrations, 154 illustrations in colour

  • Additional Information: Originally published with the title: Méthodes Numériques et Optimisation - Théorie et pratique pour l'ingénieur

  • Topics: Optimization, Computational Mathematics and Numerical Analysis

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