Numerical Methods for Partial Differential Equations
eBook - ePub

Numerical Methods for Partial Differential Equations

An Introduction

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Numerical Methods for Partial Differential Equations

An Introduction

About this book

Numerical Methods for Partial Differential Equations: An Introduction

Vitoriano Ruas, Sorbonne Universités, UPMC - Université Paris 6, France

A comprehensive overview of techniques for the computational solution of PDE's

Numerical Methods for Partial Differential Equations: An Introduction
covers the three most popular methods for solving partial differential equations: the finite difference method, the finite element method and the finite volume method. The book combines clear descriptions of the three methods, their reliability, and practical implementation aspects. Justifications for why numerical methods for the main classes of PDE's work or not, or how well they work, are supplied and exemplified.

Aimed primarily at students of Engineering, Mathematics, Computer Science, Physics and Chemistry among others this book offers a substantial insight into the principles numerical methods in this class of problems are based upon. The book can also be used as a reference for research work on numerical methods for PDE's.

Key features:

  • A balanced emphasis is given to both practical considerations and a rigorous mathematical treatment
  • The reliability analyses for the three methods are carried out in a unified framework and in a structured and visible manner, for the basic types of PDE's
  • Special attention is given to low order methods, as practitioner's overwhelming default options for everyday use
  • New techniques are employed to derive known results, thereby simplifying their proof
  • Supplementary material is available from a companion website.

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Yes, you can access Numerical Methods for Partial Differential Equations by Vitoriano Ruas in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Mechanical Engineering. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title Page
  3. Table of Contents
  4. Copyright
  5. Dedication
  6. Preface by Eugenio Oñate
  7. Preface by Larisa Beilina
  8. Acknowledgements
  9. About the Companion Website
  10. Introduction
  11. Key Reminders on Linear Algebra
  12. 1 Getting Started in One Space Variable
  13. 2 Qualitative Reliability Analysis
  14. 3 Time-dependent Boundary Value Problems
  15. 4 Methods for Two-dimensional Problems
  16. 5 Analyses in Two Space Variables
  17. 6 Extensions
  18. 7 Miscellaneous Complements
  19. Appendix
  20. References
  21. Index
  22. End User License Agreement