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Rayleigh-Ritz variational method with suitable asymptotic behaviour
(Versita, 2014-06-14)
We discuss Rayleigh-Ritz variational calculations with nonorthogonal basis sets that exhibit the correct asymptotic behaviour. We construct the suitable basis sets for general one-dimensional models and illustrate the ...
On two different kinds of resonances in one-dimensional quantum-mechanical models
(Springer, 2017-02)
We apply the Riccati–Padé method and the Rayleigh–Ritz method with complex rotation to the study of the resonances of a one-dimensional well with two barriers. The model exhibits two different kinds of resonances and we ...
Desarrollo de un algoritmo de cálculo para la implementación del método de Rayleigh-Ritz en el cálculo de frecuencias naturales de vibración de placas rectangulares con complejidades diversasA particular Rayleigh-Ritz method implementation to obtaine natural frequencies of rectangular plates with various complexities
(Universitat Politècnica de Catalunya, 2004-06)
En el presente trabajo se desarrolla una metología numérica para determinar frecuencias naturales de vibración en placas rectangulares, mediante la aplicación del método variacional 2-3 de Rayleigh-Ritz, recurriendno a ...
Additional results on integrals of beam eigenfunctions
(SAGE Publications Ltd, 2018-03-14)
New simplest expression beam mode integrals are presented, including further simplifications and corrections of previous results; this type of integrals appear in computational methods in structural dynamics and vibrations ...
Comment on: “Split kinetic energy method for quantum systems with competing potentials”, Ann. Phys. 327 (2012) 2061
(Academic Press Inc Elsevier Science, 2018-06)
We show that the kinetic-energy partition method (KEP) is a particular example of the well known Rayleigh–Ritz variational method. We discuss some of the KEP results and compare them with those coming from other approaches.
Some observations on the application of the Rayleigh-Ritz method
(Elsevier, 2001-10)
This paper deals with the applicability of the Rayleigh-Ritz method for the determination of frequency coefficients of beams and plates with elastically restrained edges. Natural frequencies of beams elastically restrained ...
Solution to the Equations of the Moment Expansions
(Versita, 2013-01)
We develop a formula for matching a Taylor series about the origin and an asymptotic exponential expansion for large values of the coordinate. We test it on the expansion of the generating functions for the moments and ...