Research Catalog

High precision methods in eigenvalue problems and their applications

Title
High precision methods in eigenvalue problems and their applications / Leonid D. Akulenko, Sergei V. Nesterov.
Author
Akulenko, L. D. (Leonid Denisovich)
Publication
Boca Raton : Chapman & Hall/CRC, [2005], ©2005.

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Additional Authors
Nesterov, S. V. (Sergeĭ Vladimirovich)
Description
xv, 239 pages : illustrations; 27 cm.
Series Statement
Differential and integral equations and their applications ; v. 6
Uniform Title
Differential and integral equations and their applications ; v. 6.
Subjects
Bibliography (note)
  • Includes bibliographical references (p. [233]-235) and index.
Contents
Ch. 1. Statement of eigenvalue problems : basic methods of their solution -- Ch. 2. The method of accelerated convergence for the Sturm-Liouville problem -- Ch. 3. Approximate analytical solution of perturbed eigenvalue problems -- Ch. 4. Generalized Sturm-Liouville problem -- Ch. 5. Asymptotics of eigenvalues and eigenfunctions of the generalized Sturm-Liouville problem for higher vibration modes -- Ch. 6. Solutions of fourth-order self-conjugate problems : oscillation properties -- Ch. 7. The method of accelerated convergence for eigenvalue problems for fourth-order equations -- Ch. 8. Perturbation method in eigenvalue problems for fourth-order equations -- Ch. 9. Sturm-Liouville problems for vector-valued functions -- Ch. 10. Vibrations and stability of elastic systems -- Ch. 11. Surface and internal waves in heavy ideal fluid -- Ch. 12. Parametric vibrations of one-dimensional systems -- Ch. 13. Vibrations of a distributed inhomogeneous system in a rectangular domain -- Ch. 14. Free vibrations of a rectangular membrane with sharply varying surface density -- Ch. 15. Free vibrations of elastic systems in elliptic domains.
ISBN
041530993X (acid-free paper)
LCCN
2004051078
OCLC
  • ocm55887556
  • SCSB-5151405
Owning Institutions
Columbia University Libraries