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An Introduction to Computational Science

  • Allen Holder
  • Joseph Eichholz
Textbook

Part of the International Series in Operations Research & Management Science book series (ISOR, volume 278)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Computational Methods

    1. Front Matter
      Pages 1-1
    2. Allen Holder, Joseph Eichholz
      Pages 3-31
    3. Allen Holder, Joseph Eichholz
      Pages 33-65
    4. Allen Holder, Joseph Eichholz
      Pages 67-121
    5. Allen Holder, Joseph Eichholz
      Pages 123-189
    6. Allen Holder, Joseph Eichholz
      Pages 191-235
    7. Allen Holder, Joseph Eichholz
      Pages 237-268
    8. Allen Holder, Joseph Eichholz
      Pages 269-303
  3. Part II

    1. Front Matter
      Pages 305-308
    2. Allen Holder, Joseph Eichholz
      Pages 309-353
    3. Allen Holder, Joseph Eichholz
      Pages 355-376
    4. Allen Holder, Joseph Eichholz
      Pages 377-387
    5. Allen Holder, Joseph Eichholz
      Pages 389-402
    6. Allen Holder, Joseph Eichholz
      Pages 403-430
    7. Allen Holder, Joseph Eichholz
      Pages 431-445
  4. Back Matter
    Pages 447-470

About this book

Introduction

This textbook provides an introduction to the growing interdisciplinary field of computational science. It combines a foundational development of numerical methods with a variety of illustrative applications spread across numerous areas of science and engineering. The intended audience is the undergraduate who has completed introductory coursework in mathematics and computer science. Students gain computational acuity by authoring their own numerical routines and by practicing with numerical methods as they solve computational models. This education encourages students to learn the importance of answering: How expensive is a calculation, how trustworthy is a calculation, and how might we model a problem to apply a desired numerical method?

The text is written in two parts. Part I provides a succinct, one-term inauguration into the primary routines on which a further study of computational science rests. The material is organized so that the transition to computational science from coursework in calculus, differential equations, and linear algebra is natural. Beyond the mathematical and computational content of Part I, students gain proficiency with elemental programming constructs and visualization, which are presented in MATLAB syntax. The focus of Part II is modeling, wherein students build computational models, compute solutions, and report their findings. The models purposely intersect numerous areas of science and engineering to demonstrate the pervasive role played by computational science.

Keywords

Computational Modeling Computational Science Differential Equations Matlab Operations Research Optimization

Authors and affiliations

  • Allen Holder
    • 1
  • Joseph Eichholz
    • 2
  1. 1.Department of MathematicsRose-Hulman Institute of TechnologyTerre HauteUSA
  2. 2.Department of MathematicsRose-Hulman Institute of TechnologyTerre HauteUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-15679-4
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Business and Management
  • Print ISBN 978-3-030-15677-0
  • Online ISBN 978-3-030-15679-4
  • Series Print ISSN 0884-8289
  • Series Online ISSN 2214-7934
  • Buy this book on publisher's site
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