Fast Multipole Methods for the Helmholtz Equation in Three Dimensions
eBook - ePub

Fast Multipole Methods for the Helmholtz Equation in Three Dimensions

  1. 426 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Fast Multipole Methods for the Helmholtz Equation in Three Dimensions

About this book

This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions. The Fast Multipole Method was pioneered by Rokhlin and Greengard in 1987 and has enjoyed a dramatic development and recognition during the past two decades. This method has been described as one of the best 10 algorithms of the 20th century. Thus, it is becoming increasingly important to give a detailed exposition of the Fast Multipole Method that will be accessible to a broad audience of researchers. This is exactly what the authors of this book have accomplished. For this reason, it will be a valuable reference for a broad audience of engineers, physicists and applied mathematicians. - The Only book that provides comprehensive coverage of this topic in one location - Presents a review of the basic theory of expansions of the Helmholtz equation solutions - Comprehensive description of both mathematical and practical aspects of the fast multipole method and it's applications to issues described by the Helmholtz equation

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Yes, you can access Fast Multipole Methods for the Helmholtz Equation in Three Dimensions by Nail A Gumerov,Ramani Duraiswami in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Inside Front Cover
  5. Copyright
  6. Dedication
  7. Foreword
  8. Errata
  9. Preface
  10. Acknowledgments
  11. Outline of the Book
  12. Chapter 1: Introduction
  13. Chapter 2: Elementary Solutions
  14. Chapter 3: Translations and Rotations of Elementary Solutions
  15. Chapter 4: Multipole Methods
  16. Chapter 5: Fast Multipole Methods
  17. Chapter 6: Complexity and Optimization of the MLFMM
  18. Chapter 7: Fast Translations: Basic Theory and O(p3) Methods
  19. Chapter 8: Asymptotically Faster Translation Methods
  20. Chapter 9: Error Bounds
  21. Chapter 10: Fast Solution of Multiple Scattering Problems
  22. Color Plates
  23. Bibliography
  24. Subject Index