An integrator for time-dependent systems with oscillatory behavior
type: Item
instance of: scholarly article
title: An integrator for time-dependent systems with oscillatory behavior
zbMATH Open document ID: 0947.65078
DOI: 10.1016/S0045-7825(98)00240-0
author: Dale H. Mugler
author: Yan Wu
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2000-10-22T00:00:00Z
review text: A new integrator is introduced. It provides accuracy for oscillatory functions as well. The method applies to the class of functions which are Fourier transforms of distributions of band-limited support. Both implicit and explicit methods are developed based on a Nyquist-type condition involving the highest frequency contained in the signal.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 1422562
zbMATH Keywords: time-dependent system
zbMATH Keywords: oscillatory function
zbMATH Keywords: integrator
zbMATH Keywords: polynomial-based formula
zbMATH Keywords: Fourier transforms of distributions
reviewed by: Plamen Yalamov
MaRDI profile type: Publication
cites work: Q3671563
cites work: From the trapezoidal rule to higher-order accurate and unconditionally stable time-integration method for structural dynamics
cites work: Q4035574
cites work: Q5667036
cites work: Q3955832
full work available at URL: s0045-7825(98)00240-0
OpenAlex ID: W1977806336
description: scientific article; zbMATH DE number 1422562