Results 61 to 70 of about 749 (184)
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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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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VibrationThis study introduces the dynamic characteristics of stepped functionally graded (FG) cylindrical shells under general boundary conditions using the Legendre–Ritz method.
Yanbin Shen +3 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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Analytical method comparison on critical force of the stepped column model of telescopic crane
Advances in Mechanical Engineering, 2018 The calculation of the critical force of the stepped column model of telescopic boom crane is the key to stability calculation of all-terrain crane. In slightly bending theory, differential equation can be built up, and then the deflection curve of ideal
Fenglin Yao +4 more
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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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The Effect of the Cusp on the Rate of Convergence of the Rayleigh-Ritz Method [PDF]
, 2001 This paper investigates how smoothing the Hamiltonian and the cusp of the corresponding eigenfunction affects the rate of convergence of the Rayleigh-Ritz method. A simple example from quantum mechanics is used, with a basis of harmonic oscillator functions.
Ioana Sîrbu, Harry F. King
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Angle‐Free Cluster‐Robust Ritz Value Bounds for Restarted Block Eigensolvers
Numerical Linear Algebra with Applications, Volume 32, Issue 1, February 2025.ABSTRACT Convergence rates of block iterations for solving Hermitian eigenvalue problems typically measure the errors of Ritz values approximating eigenvalues. These errors are usually bounded in terms of principal angles between the initial or iterative subspace and the invariant subspace associated with the target eigenvalues.
Ming Zhou, Andrew Knyazev, Klaus Neymeyr
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Shock and Vibration, 2016 This paper presents free vibration analysis of open and closed shells with arbitrary boundary conditions using a spectro-geometric-Ritz method. In this method, regardless of the boundary conditions, each of the displacement components of open and closed ...
Dongyan Shi +4 more
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Recurrence Relations in the Rayleigh-Ritz Method [PDF]
Progress of Theoretical Physics Supplement, 2000 We report a novel approach for finding upper-bounds for energy levels in quantum systems. This method uses the Rayleigh-Ritz method in conjunction with an expansion series solution of the Schrodinger equation. In the traditional Rayleigh-Ritz method, a N × N matrix is diagonalized to find the N coefficients of a N -term series expansion solution.
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