Approximation of eigenvalues and a Koehler's type method

Cesare Davini

Rendiconti del Seminario Matematico della Università di Padova (1982)

  • Volume: 66, page 143-153
  • ISSN: 0041-8994

How to cite

top

Davini, Cesare. "Approximation of eigenvalues and a Koehler's type method." Rendiconti del Seminario Matematico della Università di Padova 66 (1982): 143-153. <http://eudml.org/doc/107837>.

@article{Davini1982,
author = {Davini, Cesare},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {lower bounds for eigenvalues; linear self-adjoint operators on a Hilbert space; stability; thin cylindrical shells; eigenfrequencies of a beam},
language = {eng},
pages = {143-153},
publisher = {Seminario Matematico of the University of Padua},
title = {Approximation of eigenvalues and a Koehler's type method},
url = {http://eudml.org/doc/107837},
volume = {66},
year = {1982},
}

TY - JOUR
AU - Davini, Cesare
TI - Approximation of eigenvalues and a Koehler's type method
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1982
PB - Seminario Matematico of the University of Padua
VL - 66
SP - 143
EP - 153
LA - eng
KW - lower bounds for eigenvalues; linear self-adjoint operators on a Hilbert space; stability; thin cylindrical shells; eigenfrequencies of a beam
UR - http://eudml.org/doc/107837
ER -

References

top
  1. [1] V.V. Bolotin, Nonconservative problems of the theory of elastic stability, G. Hermann ed., Pergamon Press, Oxford (1963). Zbl0121.41305MR189343
  2. [2] C. Sensenig, Some buckling problems in nonlinear elasticity, in Bifurcation theory and nonlinear eigenvalue problems, J. B. Keller and S. Antman ed., W. A. Benjamin Inc., New York (1969). Zbl0185.53001MR241213
  3. [3] J.L. Ericksen, Bending a prism to helical form, Arch. Rational Mech. Anal., 66 (1977), pp. 1-18. Zbl0364.73038MR459169
  4. [4] J.E. Marsden - M. Mccracken, The Hopf bifurcation and its applications, Appl. Math. Sc., vol. 19, Springer-Verlag, New York (1976). Zbl0346.58007MR494309
  5. [5] P. Rabinowitz, Existence and nonuniqueness of rectangular solutions of the Benàrd problem, Arch. Rational Mech. Anal., 29 (1968), pp. 32-57. Zbl0164.28704MR233557
  6. [6] H.F. Weinberger, Variational methods for eigenvalue approximation, Reg. Conf. Series in Appl. Math., S.I.A.M., Philadelphia (1974). Zbl0296.49033MR400004
  7. [7] G. Temple, The computation of characteristic numbers and characteristic functions, Proc. London Math. Soc.II, 29 (1928), pp. 257-280. Zbl55.0259.01JFM55.0259.01
  8. [8] D.W. Fox - J.T. Stadter, An eigenvalue estimation method of Weinberger and Weinstein's intermediate problems, SIAM J. Math. Anal., 8 (1977), pp. 491-503. Zbl0361.49028MR435998
  9. [9] C. Davini, One-dimensional problems in the stability of thin shells, J. Elasticity, 10 (1980), pp. 241-254. Zbl0446.73064MR589246
  10. [10] F. Koehler, Estimates for the eigenvalues of infinite matrices, Pac. J. Math., 7 (1957), pp. 1391-1404. Zbl0081.12001MR93018
  11. [11] C. Davini, A Koehler's type method for the approximation of eigenvalues (to appear). Zbl0528.47002

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.