Results 51 to 60 of about 12,444 (221)
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
Coupled anharmonic oscillators: the Rayleigh-Ritz approach versus the collocation approach
For a system of coupled anharmonic oscillators we compare the convergence rate of the variational collocation approach presented recently by Amore and Fernandez (2010 Phys.Scr.81 045011) with the one obtained using the optimized Rayleigh-Ritz (RR) method.
Amore P +5 more
core +1 more source
Free Vibration Analysis of a Rectangular Duct with Different Axial Boundary Conditions [PDF]
3This paper describes the free vibration analysis of a rectangular duct by using the Rayleigh-Ritz method. Static beam functions are used as admissible functions in the Rayleigh-Ritz method.
B, Venkatesham, Chavan, P N
core +1 more source
Robotic Needle Steering for Percutaneous Interventions: Sensing, Modeling, and Control
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
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
doaj +1 more source
The Rayleigh-Ritz method still competitive
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
Randomized Orthogonalization Process With Reorthogonalization
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
Analytic Variational Investigation of Euclidean SU(3) Gauge Theory
Analytic variational techniques for lattice gauge theories based on the Rayleigh-Ritz(RR) method were previously developed for euclidean SU(2) gauge theories in 3 and 4 dimensions.
Anishetty +3 more
core +2 more sources
Stabilized Krylov Subspace Recurrences via Randomized Sketching
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
This paper studies traveling wave motions of rotating multi-layered functionally graded graphene platelet reinforced composite (FG-GPLRC) cylindrical shell under general boundary conditions.
Zhaoye Qin +3 more
doaj +1 more source

