Results 31 to 40 of about 12,056 (269)
Bound states for the quantum dipole moment in two dimensions [PDF]
, 2012 We calculate accurate eigenvalues and eigenfunctions of the Schr\"odinger equation for a two-dimensional quantum dipole. This model proved useful for the study of elastic effects of a single edge dislocation.
Amore, Paolo, Fernández, Francisco M
core +2 more sources
Vibration analysis of nanorods by the Rayleigh-Ritz method and truncated Fourier series
Results in Physics, 2019 A solution procedure applicable for analyzing the free longitudinal vibration of nanorods is presented in this study. The longitudinal displacement of the nanorod is sought as a linear combination of a Fourier series and auxiliary trigonometric functions.
Siyuan Bao, Jinrui Cao, Shuodao Wang
doaj +1 more source
Journal of Engineering, 2019 Buckling analysis of a laminated composite thin plate with different boundary conditions subjected to in-plane uniform load are studied depending on classical laminated plate theory; analytically using (Rayleigh-Ritz method).
Widad I. Majeed +1 more
doaj +1 more source
Group theoretical analysis of a quantum-mechanical three-dimensional quartic anharmonic oscillator [PDF]
, 2015 This paper illustrates the application of group theory to a quantum-mechanical three-dimensional quartic anharmonic oscillator with $O_{h}$ symmetry.
Fernández, Francisco M.
core +3 more sources
Toward Genuine Efficiency and Cluster Robustness of Preconditioned CG‐Like Eigensolvers
Numerical Linear Algebra with Applications, Volume 33, Issue 2, April 2026.ABSTRACT The locally optimal block preconditioned conjugate gradient (LOBPCG) method is a popular solver for large and sparse Hermitian eigenvalue problems. However, recently proposed alternatives for its single‐vector version LOPCG indicate certain problematic cases with less accurate preconditioners and clustered target eigenvalues.
Ming Zhou, Klaus Neymeyr
wiley +1 more source
Results in Physics, 2018 This paper establishes a thin orthotropic rectangular fluid–structure coupled system which effectively studies the sound-vibration behaviors. The established coupled system is made up of an acoustic enclosure filled with air or water and a single ...
Hong Zhang +3 more
doaj +1 more source
Renormalization of Tamm-Dancoff Integral Equations
, 1992 During the last few years, interest has arisen in using light-front Tamm-Dancoff field theory to describe relativistic bound states for theories such as QCD. Unfortunately, difficult renormalization problems stand in the way.
Brett van de Sande +14 more
core +1 more source
Parallel eigensolvers in plane-wave Density Functional Theory [PDF]
, 2014 We consider the problem of parallelizing electronic structure computations in plane-wave Density Functional Theory. Because of the limited scalability of Fourier transforms, parallelism has to be found at the eigensolver level.
Levitt, Antoine, Torrent, Marc
core +3 more sources
On the Methods of Rayleigh-Ritz-Weinstein [PDF]
Proceedings of the American Mathematical Society, 1952 The Rayleigh-Ritz-Weinstein methods are concerned with the connection between eigenvalues of a completely continuous symmetric operator in a Hilbert space and the eigenvalues of its projection into a subspace X of H such that the difference Hex-x is finitedimensional.
openaire +1 more source
Subspace Gap Residuals for Rayleigh–Ritz Approximations
SIAM Journal on Matrix Analysis and Applications, 2009 Large scale eigenvalue and singular value computations are usually based on extracting information from a compression of the matrix to suitably chosen low dimensional subspaces. This paper introduces new a posteriori relative error bounds based on a residual expressed using the largest principal angle (gap) between relevant subspaces.
Bosner, Nela, Drmač, Zlatko
openaire +2 more sources