Results 51 to 60 of about 1,668 (228)
On the Rayleigh-Ritz variational method
, 2022 We give a simple proof of the well known fact that the approximate eigenvalues provided by the Rayleigh-Ritz variational method are increasingly accurate upper bounds to the exact ones. To this end, we resort to the variational principle, mentioned in most textbooks on quantum chemistry, and to a well known set of projection operators.
openaire +2 more sources
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
Application of the Classical Rayleigh-Ritz Method in Dynamics of Circular Archces
Engineering Transactions, 1993 The paper deals with Rayleigh-Timoshenko and Bernoulli-Euler models of circular arches with extensible or inextensible axes clamped with free radial sliding at both ends.
B. Olszowski
doaj
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
doaj +1 more source
Free Vibrations of Anisotropic Nano-Objects with Rounded or Sharp Corners
Nanomaterials, 2021 An extension of the Rayleigh–Ritz variational method to objects with superquadric and superellipsoid shapes and cylinders with cross-sections delimited by a superellipse is presented.
Lucien Saviot
doaj +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
Block-partitioned Rayleigh–Ritz method for efficient eigenpair reanalysis of large-scale finite element models [PDF]
, 2023 Yeonho Jeong +2 more
openalex +1 more source