Rayleigh-Ritz variational method with suitable asymptotic behaviour

This paper considers the Rayleigh-Ritz variational calculations with non-orthogonal basis sets that exhibit the correct asymptotic behaviour. This approach is illustrated by constructing suitable basis sets for one-dimensional models such as the two double-well oscillators recently considered by oth...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Fernández, Francisco Marcelo, García, Javier
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2014
Materias:	Ciencias Exactas anharmonic oscillators asymptotic behaviour orthogonal polynomial projection quantization rate of convergence Rayleigh-Ritz method
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/85082
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

Ejemplares similares

Eigenvalues and eigenfunctions of the anharmonic oscillator V(x, y) = x2y2
por: Fernández, Francisco Marcelo, et al.
Publicado: (2014)

Solution to the equations of the moment expansions
por: Amore, Paolo, et al.
Publicado: (2013)

Asymptotic behaviour for a nonlocal diffusion equation on a lattice
por: Rossi, Julio Daniel
Publicado: (2008)

Asymptotic behaviour for a nonlocal diffusion equation on a lattice
por: Ignat, L.I., et al.

Divergence of the Perturbation Series
por: Arteca, Gustavo Alberto, et al.
Publicado: (1990)

Concepts and applications of finite elements analysis
por: Cook, Robert David
Publicado: (1989)

Highly accurate calculation of the real and complex eigenvalues of one-dimensional anharmonic oscillators
por: Fernández, Francisco Marcelo, et al.
Publicado: (2017)

Asymptotic behaviour for a semilinear nonlocal equation
por: Rossi, Julio Daniel
Publicado: (2007)

Asymptotic behaviour for a semilinear nonlocal equation
por: Pazoto, A.F., et al.

Application of the VFM to One-Dimensional Systems with Trivial Boundary Conditions
por: Arteca, Gustavo Alberto, et al.
Publicado: (1990)

Robust estimators under semi-parametric partly linear autoregression: Asymptotic behaviour and bandwidth selection
por: Bianco, Ana María, et al.
Publicado: (2007)

Robust estimators under semi-parametric partly linear autoregression: Asymptotic behaviour and bandwidth selection
por: Bianco, A., et al.

Small-energy series for one-dimensional quantum-mechanical models with non-symmetric potentials
por: Amore, Paolo, et al.
Publicado: (2015)

Orthogonal polynomials and random matrices : a Riemann-Hilbert approach /
por: Deift, Percy, 1945-
Publicado: (2000)

On Rayleigh waves in anisotropic media
por: Gershanik, Simón
Publicado: (2002)

Asymptotic behaviour for a numerical approximation of a parabolic problem with blowing up solutions
Publicado: (2001)

Asymptotic behaviour for a numerical approximation of a parabolic problem with blowing up solutions
por: Groisman, P., et al.

Partial differential equations and mathematica.
por: Kythe, Prem K.
Publicado: (1997)

Exact and approximate expressions for the period of anharmonic oscillators
por: Amore, Paolo, et al.
Publicado: (2005)

Aeromagnetic data leveling by the implementation of orthogonal polynomials
Publicado: (2017)

Aeromagnetic data leveling by the implementation of orthogonal polynomials
por: Zambrano, O.M., et al.

Direct Fisher Inference of the Quartic Oscillator’s Eigenvalues
por: Flego, Silvana, et al.
Publicado: (2011)

Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets
por: Ruedin, Ana María Clara
Publicado: (2007)

Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets
por: Ruedin, A.

Robust inference in generalized partially linear models
por: Boente, Graciela Lina, et al.
Publicado: (2010)

Robust inference in generalized partially linear models
por: Boente, G., et al.

Adapting a Fourier pseudospectral method to Dirichlet boundary conditions for Rayleigh–Bénard convection
por: Ramos, Ivana Carola, et al.
Publicado: (2022)

Adapting a Fourier pseudospectral method to Dirichlet boundary conditions for Rayleigh–Bénard convection
por: Ramos, Ivana Carola, et al.
Publicado: (2022)

Diffraction from corrugated gratings made with biaxial crystals: Rayleigh methods
Publicado: (1996)

Diffraction from corrugated gratings made with biaxial crystals: Rayleigh methods
por: Depine, R.A., et al.

Diversos enfoques para el estudio del comportamiento dinámico de vigas Timoshenko AFG
por: Gilardi, Gonzalo J., et al.
Publicado: (2017)

Optimización del cómputo para la resolución del problema de una y dos partículas en un pozo de potencial usando B-splines
por: Lupi, Emanuel Emilio
Publicado: (2018)

Optimización del cómputo para la resolución del problema de una y dos partículas en un pozo de potencial usando B-splines
por: Lupi, Emanuel Emilio
Publicado: (2018)

Time and band limiting for matrix valued functions, an example
por: Grünbaum, Francisco Alberto, et al.
Publicado: (2022)

Time and band limiting for matrix valued functions, an example
por: Grünbaum, Francisco Alberto, et al.
Publicado: (2022)

Asymptotic expansions /
por: Copson, E. T. (Edward Thomas), 1901-
Publicado: (1965)

Robust estimates in generalized partially linear single-index models
por: Boente, Graciela Lina, et al.
Publicado: (2012)

Robust estimates in generalized partially linear single-index models
por: Boente, G., et al.

Quantization-based integration methods for delay-differential equations
Publicado: (2011)

Quantization-based integration methods for delay-differential equations
por: Castro, R., et al.