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Scientific Computing with Mathematica®

Mathematical Problems for Ordinary Differential Equations

  • Addolorata Marasco
  • Antonio Romano

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Addolorata Marasco, Antonio Romano
    Pages 1-31
  3. Addolorata Marasco, Antonio Romano
    Pages 33-48
  4. Addolorata Marasco, Antonio Romano
    Pages 49-77
  5. Addolorata Marasco, Antonio Romano
    Pages 79-98
  6. Addolorata Marasco, Antonio Romano
    Pages 99-125
  7. Addolorata Marasco, Antonio Romano
    Pages 127-144
  8. Addolorata Marasco, Antonio Romano
    Pages 145-175
  9. Addolorata Marasco, Antonio Romano
    Pages 177-200
  10. Addolorata Marasco, Antonio Romano
    Pages 201-230
  11. Addolorata Marasco, Antonio Romano
    Pages 231-260
  12. Back Matter
    Pages 261-270

About this book

Introduction

Many interesting behaviors of real physical, biological, economical, and chemical systems can be described by ordinary differential equations (ODEs). Scientific Computing with Mathematica for Ordinary Differential Equations provides a general framework useful for the applications, on the conceptual aspects of the theory of ODEs, as well as a sophisticated use of Mathematica software for the solutions of problems related to ODEs. In particular, a chapter is devoted to the use ODEs and Mathematica in the Dynamics of rigid bodies. Mathematical methods and scientific computation are dealt with jointly to supply a unified presentation. The main problems of ordinary differential equations such as, phase portrait, approximate solutions, periodic orbits, stability, bifurcation, and boundary problems are covered in an integrated fashion with numerous worked examples and computer program demonstrations using Mathematica. Topics and Features:*Explains how to use the Mathematica package ODE.m to support qualitative and quantitative problem solving *End-of- chapter exercise sets incorporating the use of Mathematica programs *Detailed description and explanation of the mathematical procedures underlying the programs written in Mathematica *Appendix describing the use of ten notebooks to guide the reader through all the exercises. This book is an essential text/reference for students, graduates and practitioners in applied mathematics and engineering interested in ODE's problems in both the qualitative and quantitative description of solutions with the Mathematica program. It is also suitable as a self-

Keywords

Boundary value problem Computer Mathematica calculus differential equation modeling scientific computing

Authors and affiliations

  • Addolorata Marasco
    • 1
  • Antonio Romano
    • 1
  1. 1.Department of MathematicsUniversity of NaplesNaplesItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0151-9
  • Copyright Information Birkhäuser Boston 2001
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6635-8
  • Online ISBN 978-1-4612-0151-9
  • Series Print ISSN 2164-3679
  • Series Online ISSN 2164-3725
  • Buy this book on publisher's site