A Concise Introduction to Geometric Numerical Integration
eBook - ePub

A Concise Introduction to Geometric Numerical Integration

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

A Concise Introduction to Geometric Numerical Integration

About this book

"This book is highly recommended for graduate students, postgraduate researchers, and researchers interested in beginning study in the field of geometric numerical integration."

Mathematical Reviews

A Concise Introduction to Geometric Numerical Integration, Second Edition presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential equations. It also offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric integration.

Accessible to researchers and post-graduate students from diverse backgrounds, this introductory book gets readers up to speed on the most significant ideas, methods, and applications. Readers can reproduce the figures and results given in the text using the MATLAB® programs and model files available online.

New to the second edition

· Focus on single-step methods for solving differential equations.

· Full-scale rewrite of Chapter 3,with a new introduction and a more comprehensive treatment of non-autonomous systems and the processing technique.

· New section dedicated to multi-product methods in Chapter 4, and a mention the class of Crouch–Grossman and positivity-preserving integrators.

· A fresh introduction and a more detailed discussion of splitting and composition methods with complex coefficients in Chapter 6.

· A brand-new Chapter 7, showcasing some compelling applications where geometric integrators are now being used.

· Redesigned figures throughout, with improved their clarity and readability. The codes for generating them are provided at the website accompanying the book.

· New exercises, as well as an enhanced list of bibliographic references.

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Yes, you can access A Concise Introduction to Geometric Numerical Integration by Sergio Blanes,Fernando Casas in PDF and/or ePUB format, as well as other popular books in Mathematics & Arithmetic. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Title Page
  4. Copyright Page
  5. Dedication Page
  6. Contents
  7. List of Figures
  8. List of Tables
  9. Preface to the First Edition
  10. Preface to the Second Edition
  11. 1 What is geometric numerical integration?
  12. 2 Classical integrators and preservation of properties
  13. 3 Splitting and composition methods
  14. 4 Other types of geometric numerical integrators
  15. 5 Long-time behavior of geometric integrators
  16. 6 Time-splitting methods for PDEs of evolution
  17. 7 Geometric integrators in action: other relevant applications
  18. A Additional mathematical results
  19. Bibliography
  20. Index