High-Precision Methods in Eigenvalue Problems and Their Applications
eBook - ePub

High-Precision Methods in Eigenvalue Problems and Their Applications

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

High-Precision Methods in Eigenvalue Problems and Their Applications

About this book

This book presents a survey of analytical, asymptotic, numerical, and combined methods of solving eigenvalue problems. It considers the new method of accelerated convergence for solving problems of the Sturm-Liouville type as well as boundary-value problems with boundary conditions of the first, second, and third kind. The authors also present high

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Yes, you can access High-Precision Methods in Eigenvalue Problems and Their Applications by Leonid D. Akulenko,Sergei V. Nesterov in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Mechanics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half Title
  3. Differential and Integral Equations and Their Applications
  4. Title Page
  5. Copyright Page
  6. Table of Contents
  7. Preface
  8. Authors
  9. BASIC NOTATIONS
  10. Chapter 1: Statement of Eigenvalue Problems. Basic Methods of Their Solution
  11. Chapter 2: The Method of Accelerated Convergence for the Sturm-Liouville Problem
  12. Chapter 3: Approximate Analytical Solution of Perturbed Eigenvalue Problems
  13. Chapter 4: Generalized Sturm-Liouville Problem
  14. Chapter 5: Asymptotics of Eigenvalues and Eigenfunctions of the Generalized Sturm-Liouville Problem for Higher Vibration Modes
  15. Chapter 6: Solutions of Fourth-Order Self-Conjugate Problems. Oscillation Properties
  16. Chapter 7: The Method of Accelerated Convergence for Eigenvalue Problems for Fourth-Order Equations
  17. Chapter 8: Perturbation Method in Eigenvalue Problems for Fourth-Order Equations
  18. Chapter 9: Sturm-Liouville Problems for Vector-Valued Functions
  19. Chapter 10: Vibrations and Stability of Elastic Systems
  20. Chapter 11: Surface and Internal Waves in Heavy Ideal Fluid
  21. Chapter 12: Parametric Vibrations of One-Dimensional Systems
  22. Chapter 13: Vibrations of a Distributed Inhomogeneous System in a Rectangular Domain
  23. Chapter 14: Free Vibrations of a Rectangular Membrane with Sharply Varying Surface Density
  24. Chapter 15: Free Vibrations of Elastic Systems in Elliptic Domains
  25. References
  26. Index