Results 31 to 40 of about 12,383 (219)
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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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
doaj +1 more source
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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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.
openaire +2 more sources
Determination of Resonances by the Optimized Spectral Approach
, 2012 The Rayleigh-Ritz procedure for determining bound-states of the Schr\"{o}dinger equation relies on spectral representation of the solution as a linear combination of the basis functions.
Kościk, Przemysław +2 more
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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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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
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Understanding the dynamic behavior of structural components is crucial for optimizing performance and ensuring structural integrity. This study presents a new method that combines a systematic experimental investigation of four distinct hole geometries (circular, square, compact rectangular, and long rectangular) with varying hole counts, all ...
Amir Hossein Rabiee +3 more
wiley +1 more source
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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Free Vibration Analysis of a Rectangular Duct with Different Axial Boundary Conditions [PDF]
, 2015 3This paper describes the free vibration analysis of a rectangular duct by using the Rayleigh-Ritz method. Static beam functions are used as admissible functions in the Rayleigh-Ritz method.
B, Venkatesham, Chavan, P N
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