Solving Differential Equations in R

  • Karline Soetaert
  • Jeff Cash
  • Francesca Mazzia

Part of the Use R! book series (USE R)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Karline Soetaert, Jeff Cash, Francesca Mazzia
    Pages 1-13
  3. Karline Soetaert, Jeff Cash, Francesca Mazzia
    Pages 15-40
  4. Karline Soetaert, Jeff Cash, Francesca Mazzia
    Pages 41-80
  5. Karline Soetaert, Jeff Cash, Francesca Mazzia
    Pages 81-94
  6. Karline Soetaert, Jeff Cash, Francesca Mazzia
    Pages 95-115
  7. Karline Soetaert, Jeff Cash, Francesca Mazzia
    Pages 117-122
  8. Karline Soetaert, Jeff Cash, Francesca Mazzia
    Pages 123-135
  9. Karline Soetaert, Jeff Cash, Francesca Mazzia
    Pages 137-155
  10. Karline Soetaert, Jeff Cash, Francesca Mazzia
    Pages 157-185
  11. Karline Soetaert, Jeff Cash, Francesca Mazzia
    Pages 187-205
  12. Karline Soetaert, Jeff Cash, Francesca Mazzia
    Pages 207-238
  13. Back Matter
    Pages 239-248

About this book

Introduction

Mathematics plays an important role in many scientific and engineering disciplines. This book deals with the numerical solution of differential equations, a very important branch of mathematics. Our aim is to give a practical and theoretical account of how to solve a large variety of differential equations, comprising ordinary differential equations, initial value problems and boundary value problems, differential algebraic equations, partial differential equations and delay differential equations. The solution of differential equations using R is the main focus of this book. It is therefore intended for the practitioner, the student and the scientist, who wants to know how to use R for solving differential equations. However, it has been our goal that non-mathematicians should at least understand the basics of the methods, while obtaining entrance into the relevant literature that provides more mathematical background. Therefore, each chapter that deals with R examples is preceded by a chapter where the theory behind the numerical methods being used is introduced. In the sections that deal with the use of R for solving differential equations, we have taken examples from a variety of disciplines, including biology, chemistry, physics, pharmacokinetics. Many examples are well-known test examples, used frequently in the field of numerical analysis.

Keywords

R differential equations modeling scientific computing

Authors and affiliations

  • Karline Soetaert
    • 1
  • Jeff Cash
    • 2
  • Francesca Mazzia
    • 3
  1. 1.Sea Research NIOZ, Ecosystem StudiesRoyal Netherlands Institute forYersekeNetherlands
  2. 2., MathematicsImperial CollegeLondonMontserrat
  3. 3., Dipartimento di MatematicaUniversity of BariBariItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-28070-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-28069-6
  • Online ISBN 978-3-642-28070-2
  • About this book