Results 41 to 50 of about 166,550 (244)
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
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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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Rayleigh-Ritz majorization error bounds with applications to FEM [PDF]
, 2009 The Rayleigh-Ritz (RR) method finds the stationary values, called Ritz values, of the Rayleigh quotient on a given trial subspace as approximations to eigenvalues of a Hermitian operator $A$.
Argentati, Merico E., Knyazev, Andrew V.
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Engineering Reports, Volume 8, Issue 2, February 2026.This comprehensive study advances delamination analysis in composites through innovative computational methods, experimental validation techniques, and predictive algorithms, collectively enhancing damage progression prediction and structural health monitoring for improved integrity in high‐performance applications.
Dhivya Elumalai +4 more
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The convergence of Rayleigh-Ritz approximations [PDF]
Journal of the Australian Mathematical Society, 1968 This paper is concerned with the convergence of Rayleigh-Ritz approximations to the solution of an elliptic boundary value problem. Although the work arose in connection with the aerofoil problem (and it is to this problem that the results obtained are immediately applied), the methods here employed are suitable for use on the wider class of problem ...
O'Carroll, M. J., Lush, P. E.
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Oscillations of coronal loops using Rayleigh–Ritz technique [PDF]
New Astronomy, 2010 In this paper, we apply the Rayleigh-Ritz Variational Scheme for studying the transverse oscillations of a magnetic flux tube. The flux tube is considered in low-$ $ solar coronal condition. The perturbations decomposed into irrotational and solenoidal components and MHD equations are reduced as a matrix eigenvalue problem.
Fathalian, N., Safari, H., Nasiri, S.
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Rayleigh-Ritz variation method and connected-moments polynomial approach
, 2008 We show that the connected-moments polynomial approach proposed recently is equivalent to the well known Rayleigh-Ritz variation method in the Krylov space.
Bartashevich +15 more
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Advanced Theory and Simulations, Volume 9, Issue 1, January 2026.This study develops a superconvergent meshless method to analyze and control vibrations in twisted, bidirectional functionally graded Terfenol‐D beams. By optimizing magnetostrictive patch placement, it demonstrates effective vibration suppression under dynamic loads, highlighting the design potential of strategically graded materials in complex ...
Mukund A. Patil +2 more
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Free vibration of arbitrary-shaped laminated triangular thin plates with elastic boundary conditions
Results in Physics, 2018 This paper studies the free vibration of arbitrary shaped laminated triangular thin plates based on a modified Fourier series method. An arbitrary shaped triangular plate is mapped into a right-angled isosceles triangular plate with unit length by the ...
Xiuhai Lv, Dongyan Shi
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Robotic Needle Steering for Percutaneous Interventions: Sensing, Modeling, and Control
Advanced Intelligent Systems, Volume 8, Issue 1, January 2026.This review examines recent advances in robotic needle steering for percutaneous interventions, highlighting closed‐loop sensing, physics‐informed tissue‐needle interaction modeling, and real‐time trajectory planning and control. It synthesizes innovations in deep learning, fiber‐optic feedback, and adaptive control strategies, and outlines emerging ...
Fangjiao Zhao +5 more
wiley +1 more source