Results 51 to 60 of about 12,383 (219)
Randomized Orthogonalization Process With Reorthogonalization
Numerical Linear Algebra with Applications, Volume 32, Issue 4, August 2025.ABSTRACT The dimension reduction technique of random sketching is advantageous in significantly reducing computational complexity. In orthogonalization processes like the Gram‐Schmidt (GS) algorithm, incorporating random sketching results in a halving of computational costs compared to the classical/modified Gram‐Schmidt (CGS/MGS) algorithms, while ...
Yongseok Jang, Laura Grigori
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Results in Physics, 2018 A three-dimensional Fourier series method (3D-FSM) is applied to study the acoustic characteristics of annular segment acoustic cavity with various impedance boundary conditions.
Yujie Xiao +4 more
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Stabilized Krylov Subspace Recurrences via Randomized Sketching
Numerical Linear Algebra with Applications, Volume 32, Issue 3, June 2025.ABSTRACT Recurrences building orthonormal bases for polynomial Krylov spaces have been classically used for approximation purposes in various numerical linear algebra contexts. Variants aiming to limit memory and computational costs by using truncated recurrences often have convergence constraints.
Valeria Simoncini, YiHong Wang
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The Rayleigh-Ritz method still competitive
Journal of Computational and Applied Mathematics, 1994 Following his earlier work [Numer. Math. 54, 639-654 (1989; Zbl 0645.65027)], the author considers the computation of two-sided bounds for the eigenvalues of the one-dimensional Schrödinger operator with various potentials, using a finite element method with high-order B- splines.
openaire +2 more sources
An analytical solution to free rectangular plate natural vibrations by beam modes – ordinary and missing plate modes [PDF]
, 2016 Relatively simple analytical procedures for the estimation of natural frequencies of free thin rectangular plates, based on the Rayleigh quotient and the Rayleigh-Ritz method, are presented.
Hadžić, Neven +3 more
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High Voltage, Volume 10, Issue 3, Page 660-672, June 2025.Abstract Within 30 min after live operation of gas‐insulated switchgear (GIS), more than 60% of discharge failures are caused by metallic particles. To address this issue, this study explored the vibration propagation mechanisms in GIS cavities and established an equivalent vibration transmission model.
Jian Wang +7 more
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Reviews on Advanced Materials Science, 2022 In this paper, the unified Jacobi–Ritz method (JRM) is utilized to analyze the dynamic response of rectangular plates with general boundary conditions.
Jia Di +5 more
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Computer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 9, Page 1129-1149, 4 April 2025.Abstract Pore structure characteristics of cementitious materials play a critical role in the transport properties of concrete structures. This paper develops a novel framework for modeling chloride penetration in concrete, considering the pore structure‐dependent model parameters.
Liang‐yu Tong +5 more
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Harmonic and Refined Harmonic Shift-Invert Residual Arnoldi and Jacobi--Davidson Methods for Interior Eigenvalue Problems [PDF]
, 2015 This paper concerns the harmonic shift-invert residual Arnoldi (HSIRA) and Jacobi--Davidson (HJD) methods as well as their refined variants RHSIRA and RHJD for the interior eigenvalue problem.
Jia, Zhongxiao, Li, Cen
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 3, March 2025.Abstract This study investigates the doublet structural model for analyzing nonhomogeneous Euler mass sensor nanobeams, incorporating the concept of doublet mechanics alongside Bernstein polynomials (BPs). BPs serve as basic functions within the Rayleigh–Ritz method, facilitating conversional governing equations into a geikneralized Eigenvalue problem.
Rajendran Selvamani +4 more
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