Dynamical Systems Method and Applications
eBook - ePub

Dynamical Systems Method and Applications

Theoretical Developments and Numerical Examples

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

Dynamical Systems Method and Applications

Theoretical Developments and Numerical Examples

About this book

Demonstrates the application of DSM to solve a broad range of operator equations

The dynamical systems method (DSM) is a powerful computational method for solving operator equations. With this book as their guide, readers will master the application of DSM to solve a variety of linear and nonlinear problems as well as ill-posed and well-posed problems. The authors offer a clear, step-by-step, systematic development of DSM that enables readers to grasp the method's underlying logic and its numerous applications.

Dynamical Systems Method and Applications begins with a general introduction and then sets forth the scope of DSM in Part One. Part Two introduces the discrepancy principle, and Part Three offers examples of numerical applications of DSM to solve a broad range of problems in science and engineering. Additional featured topics include:

  • General nonlinear operator equations

  • Operators satisfying a spectral assumption

  • Newton-type methods without inversion of the derivative

  • Numerical problems arising in applications

  • Stable numerical differentiation

  • Stable solution to ill-conditioned linear algebraic systems

Throughout the chapters, the authors employ the use of figures and tables to help readers grasp and apply new concepts. Numerical examples offer original theoretical results based on the solution of practical problems involving ill-conditioned linear algebraic systems, and stable differentiation of noisy data.

Written by internationally recognized authorities on the topic, Dynamical Systems Method and Applications is an excellent book for courses on numerical analysis, dynamical systems, operator theory, and applied mathematics at the graduate level. The book also serves as a valuable resource for professionals in the fields of mathematics, physics, and engineering.

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Yes, you can access Dynamical Systems Method and Applications by Alexander G. Ramm,Nguyen S. Hoang in PDF and/or ePUB format, as well as other popular books in Mathematics & Functional Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Wiley
Year
2013
Print ISBN
9781118024287
eBook ISBN
9781118199602

Table of contents

  1. Cover Page
  2. Contents
  3. Title Page
  4. Copyright
  5. Dedication
  6. List of Figures
  7. List of Tables
  8. Preface
  9. Acknowledgments
  10. PART I
  11. PART II
  12. PART III
  13. Appendix A: Auxiliary results from analysis
  14. Appendix B: Bibliographical notes
  15. References
  16. Index