TY  - GEN
A1  - Ginoux, Nicolas
T1  - Une nouvelle estimation extrinsèque du spectre de l'opérateur de Dirac
T1  - A new extrinsic estimate for the spectrum of the Dirac operator
N2  - Nous établissons une nouvelle majoration optimale pour les plus petites valeurs propres de l'opérateur de Dirac sur une hypersurface compacte de l'espace hyperbolique.
N2  - We prove a new upper bound for the smallest eigenvalues of the Dirac operator on a compact hypersurface of the hyperbolic space.
KW  - bounds
KW  - Eigenvalues
Y1  - 2003
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-5644
ER  - 
TY  - INPR
A1  - Rattana, Amornrat
A1  - Böckmann, Christine
T1  - Matrix methods for computing Eigenvalues of Sturm-Liouville problems of order four
N2  - This paper examines and develops matrix methods to approximate the eigenvalues of a fourth order Sturm-Liouville problem subjected to a kind of fixed boundary conditions, furthermore, it extends the matrix methods for a kind of general boundary conditions. The idea of the methods comes from finite difference and Numerov's method as well as boundary value methods for second order regular Sturm-Liouville problems. Moreover, the determination of the correction term formulas of the matrix methods are investigated in order to obtain better approximations of the problem with fixed boundary conditions since the exact eigenvalues for q = 0 are known in this case. Finally, some numerical examples are illustrated.
T3  - Preprints des Instituts für Mathematik der Universität Potsdam - 1(2012)13 
KW  - Finite difference method
KW  - Numerov's method
KW  - Boundary value methods
KW  - Fourth order Sturm-Liouville problem
KW  - Eigenvalues
Y1  - 2012
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-59279
ER  -