Results 31 to 40 of about 12,444 (221)
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
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Shock and Vibration, 2022 In this investigation, free vibration of stepped circular Mindlin plate with arbitrary boundary conditions is presented by an improved Fourier–Ritz method.
Qingjun Hao, Zhaobo Chen, Wenjie Zhai
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Linear Stochastic Models of Nonlinear Dynamical Systems
, 1998 We investigate in this work the validity of linear stochastic models for nonlinear dynamical systems. We exploit as our basic tool a previously proposed Rayleigh-Ritz approximation for the effective action of nonlinear dynamical systems started from ...
B. A. Finlayson +17 more
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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.
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Shock and Vibration, 2021 The uniform formulation of dynamic vibration analysis of multispan beams is presented by using an efficient domain decomposition method in this paper.
Cong Gao +5 more
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Quadratic Interpolation and Rayleigh–Ritz Methods for Bifurcation Coefficients [PDF]
SIAM Journal on Mathematical Analysis, 2010 In this article we study the estimation of bifurcation coefficients in nonlinear branching problems by means of Rayleigh-Ritz approximation to the eigenvectors of the corresponding linearized problem. It is essential that the approximations converge in a norm of sufficient strength to render the nonlinearities continuous.
Greenlee, W. M., Hermi, L.
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On two different kinds of resonances in one-dimensional quantum-mechanical models
, 2016 We apply the Riccati-Pad\'{e} method and the Rayleigh-Ritz method with complex rotation to the study of the resonances of a one-dimensional well with two barriers.
Fernández, Francisco M., Garcia, Javier
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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
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Sharp error bounds for Ritz vectors and approximate singular vectors
, 2019 We derive sharp bounds for the accuracy of approximate eigenvectors (Ritz vectors) obtained by the Rayleigh-Ritz process for symmetric eigenvalue problems.
Nakatsukasa, Yuji
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Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT We investigate the existence and spectral stability of traveling wave solutions for a class of fourth‐order semilinear wave equations, commonly referred to as beam equations. Using variational methods based on a constrained maximization problem, we establish the existence of smooth, exponentially decaying traveling wave profiles for wavespeeds
Vishnu Iyer +2 more
wiley +1 more source