Perturbed Functional Iterations
eBook - ePub

Perturbed Functional Iterations

A Matrix Free Large-Scale Nonlinear System Solver in Applied Science with an Introduction to D-Mapping

  1. 326 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Perturbed Functional Iterations

A Matrix Free Large-Scale Nonlinear System Solver in Applied Science with an Introduction to D-Mapping

About this book

Perturbed functional iterations (PFI) is a large?scale nonlinear system solver. Nature is abundant with events simulated mathematically by nonlinear systems of equations and inequalities. These we call nonlinear models. Often, they are ill?conditioned, meaning small changes in data causing huge changes in the output. PFI, previously called the perturbed iterative scheme (PIS), is a numerical method to solve nonlinear systems of equations in multidimensional space. Computational results demonstrate that this numerical method has some unique features, which have made it more practical for applications in engineering and applied mathematics. This book will guide readers in the proper use of PFI, both in theoretical and practical settings.

Features:

  • Ideal resource for postgraduates and professional researchers in science and engineering working in nonlinear systems
  • Algorithmically simple enough for engineers and applied scientists to write their own software based on the contents

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Yes, you can access Perturbed Functional Iterations by Suhrit Dey in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Chapman and Hall/CRC
Year
2024
Print ISBN
9781032350295
eBook ISBN
9781040014950
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Cover
  2. Half Title
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Table of Contents
  7. A Short Introduction to PFI
  8. Foreword
  9. Preface
  10. Acknowledgements
  11. Author
  12. Notations
  13. Chapter 1 ◾ Introduction: Why PFI?
  14. Chapter 2 ◾ Numerical Solutions of Equations with One Real Variable
  15. Chapter 3 ◾ Perturbed Jacobi Iterations (PFI#1)
  16. Chapter 4 ◾ Perturbation of Gauss-Seidel Iterations (PFI#2)
  17. Chapter 5 ◾ A More Practical and Effective Algorithm of DPFI
  18. Chapter 6 ◾ Initial-Value Problems
  19. Chapter 7 ◾ Stiff Equations
  20. Chapter 8 ◾ Boundary Value Problem
  21. Chapter 9 ◾ Applications to Boundary Layer Flow Models
  22. Chapter 10 ◾ Numerical Solution of Nonlinear Partial Differential Equations by PFI
  23. Appendix A: D-Mapping for Explicit Finite Difference Equations
  24. Appendix B: A Short Study on the Computational Significance of D-Mappings and D-Matrices
  25. Appendix C: Some Fundamental Concepts behind D-Mappings
  26. Index