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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Nonlinear Vibrations and Control of Wind Towers With Variable Cross Section and Elastic Foundation
Structural Control and Health Monitoring, Volume 2026, Issue 1, 2026.This study proposes a comprehensive nonlinear modeling and vibration control framework for wind towers subjected to the simultaneous and often conflicting demands of aerodynamic and seismic excitations. The primary contribution of this work involves the development of a fully geometrically nonlinear, high‐fidelity coupled tower–nacelle–blade model that
Manus Saintilma +3 more
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On Rayleigh-Ritz Method in Three-Parameter Eigenvalue Problems [PDF]
, 2014 This paper deals with the computation of the eigenvalues of a three-parameter Sturm-Liouville problem in the form of ordinary differential equation using Rayleigh-Ritz Method, a method which is based on the principle of variational methods.
Surashmi Bhattacharyya +1 more
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Elliptic spline functions and the Rayleigh-Ritz-Galerkin method [PDF]
, 1970 Error estimates for the Rayleigh-Ritz-Galerkin method, using finite-dimensional spline type spaces, for a class of nonlinear two-point boundary value problems are discussed.
Martin H. Schultz
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Analytical Study on Free Vibration Dynamics of Compressible Fluids in Rigid-Walled Rectangular Tanks [PDF]
هیدرولیکThis paper presents a comprehensive analytical study on the free vibration dynamics of compressible fluids within rigid-walled rectangular tanks, emphasizing the significance of fluid-structure interaction (FSI).
سید مجتبی موسوی نژاد +1 more
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ACCURATE APPROXIMATIONS TO EIGENPAIRS USING THE HARMONIC RAYLEIGH-RITZ METHOD [PDF]
, 2008 Accurate approximations to eigenpairs using the harmonic Rayleigh-Ritz method by Gerard L.G.
Gerard L. G. Sleijpen
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On proximity of Rayleigh quotients for different vectors and Ritz values generated by different trial subspaces [PDF]
, 2005 The Rayleigh quotient is unarguably the most important function used in the analysis and computation of eigenvalues of symmetric matrices. The Rayleigh–Ritz method finds the stationary values of the Rayleigh quotient, called Ritz values, on a given trial
Knyazev, Andrew V. +3 more
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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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CIRR: a Rayleigh-Ritz type method with contour integral for generalized eigenvalue problems [PDF]
, 2020 . We consider a Rayleigh-Ritz type eigensolver for finding a limited set of eigenvalues and their corresponding eigenvectors in a certain region of generalized eigenvalue problems.
Hiroto Tadano, Tetsuya Sakurai
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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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