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

High-Precision Methods in Eigenvalue Problems and Their Applications

  1. 260 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

High-Precision Methods in Eigenvalue Problems and Their Applications

Book details
Table of contents
Citations

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 & Mathematical & Computational Physics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Chapman and Hall/CRC
Year
2004
ISBN
9781134390229
Edition
1
Topic
Physical Sciences
Subtopic
Mathematical & Computational Physics

Table of contents

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