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Cell Mapping Methods

Algorithmic Approaches and Applications

  • Book
  • © 2019

Overview

Authors:
  1. Jian-Qiao Sun

    1. School of Engineering, University of California, Merced, Merced, USA

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  2. Fu-Rui Xiong

    1. Nuclear Power Institute of China, Chengdu, China

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  3. Oliver Schütze

    1. Computer Science Department, CINVESTAV-IPN, Mexico City, Mexico

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  4. Carlos Hernández

    1. Computer Science Department, CINVESTAV-IPN, Mexico City, Mexico

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  • Presents algorithmic studies of the popular cell-mapping method with computer programs

  • Explains different cell-mapping-method algorithms for a wide range of applications

  • Includes a complete set of Matlab and C++ codes for implementing the algorithms

  • Offers a comprehensive review of multi-objective optimization

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xv
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  2. Cell Mapping Methods

    1. Front Matter

      Pages 1-1
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    2. Introduction

      • Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 3-9

    3. Dynamical Systems

      • Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 11-27

    4. Simple Cell Mapping

      • Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 29-43

    5. Generalized Cell Mapping

      • Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 45-56

    6. Subdivision

      • Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 57-71

    7. Parallel Computing for Cell Mapping

      • Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 73-78

    8. Hybridization

      • Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 79-82

  3. Applications

    1. Front Matter

      Pages 83-83
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    2. Solutions of Nonlinear Algebraic Equations

      • Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 85-106

    3. Multi-objective Optimization

      • Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 107-148

    4. Multi-objective Optimal Control Design

      • Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 149-168

    5. Multi-objective Optimal Structure Design

      • Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 169-190

    6. Multi-objective Optimal Airfoil Design

      • Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 191-202

    7. Global Analysis of Nonlinear Dynamics

      • Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández
      Pages 203-210

  4. Back Matter

    Pages 211-226
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Keywords

About this book

This book presents the latest algorithmic developments in the cell-mapping method for the global analysis of nonlinear dynamic systems, global solutions for multi-objective optimization problems, and global solutions for zeros of complex algebraic equations. It also discusses related engineering and scientific applications, including the nonlinear design of structures for better vibration resistance and reliability; multi-objective, structural-acoustic design for sound abatement; optimal multi-objective design of airfoils for better lift; and optimal multi-objective design of linear and nonlinear controls with or without time delay.


The first book on the subject to include extensive Matlab and C++ codes, it presents various implementation algorithms of the cell-mapping method, enabling readers to understand how the method works and its programming aspects. A link to the codes on the Springer website will be provided to the readers. 


Authors and Affiliations

  • School of Engineering, University of California, Merced, Merced, USA

    Jian-Qiao Sun

  • Nuclear Power Institute of China, Chengdu, China

    Fu-Rui Xiong

  • Computer Science Department, CINVESTAV-IPN, Mexico City, Mexico

    Oliver Schütze, Carlos Hernández

About the authors


Bibliographic Information

  • Book Title: Cell Mapping Methods

  • Book Subtitle: Algorithmic Approaches and Applications

  • Authors: Jian-Qiao Sun, Fu-Rui Xiong, Oliver Schütze, Carlos Hernández

  • DOI: https://doi.org/10.1007/978-981-13-0457-6

  • Publisher: Springer Singapore

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Nature Singapore Pte Ltd. 2019

  • Hardcover ISBN: 978-981-13-0456-9Published: 05 July 2018

  • Softcover ISBN: 978-981-13-4421-3Published: 29 December 2018

  • eBook ISBN: 978-981-13-0457-6Published: 20 June 2018

  • Edition Number: 1

  • Number of Pages: XV, 226

  • Number of Illustrations: 28 b/w illustrations, 70 illustrations in colour

  • Topics: Mathematical and Computational Engineering, Mathematical Methods in Physics, Applications of Mathematics

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