Treffer: Adaptive generalized polynomial chaos for nonlinear random oscillators
Title:
Adaptive generalized polynomial chaos for nonlinear random oscillators
Authors:
Source:
Special Issue on Uncertainty QuantificationSIAM journal on scientific computing (Print). 26(2):720-735
Publisher Information:
Philadelphia, PA: Society for Industrial and Applied Mathematics, 2005.
Publication Year:
2005
Physical Description:
print, 16 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Probabilités et statistiques, Probability and statistics, Théorie des probabilités et processus stochastiques, Probability theory and stochastic processes, Analyse stochastique, Stochastic analysis, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Probabilités et statistiques numériques, Numerical methods in probability and statistics, Analyse numérique, Numerical analysis, Análisis numérico, Calcul scientifique, Scientific computation, Computación científica, Incertitude, Uncertainty, Incertidumbre, Modèle stochastique, Stochastic model, Modelo estocástico, Méthode adaptative, Adaptive method, Método adaptativo, Chaos polynomial, Polynomial chaos, Oscillateur Duffing, Duffing oscillator, 60H35, 65C30, polynomial chaos, stochastic modeling 65C20, uncertainty
Document Type:
Konferenz
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Division of Applied Mathematics, Brown University, Providence, RI 02912, United States
ISSN:
1064-8275
Rights:
Copyright 2005 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.16610813
Database:
PASCAL Archive
Weitere Informationen
The solution of nonlinear random oscillators subject to stochastic forcing is investigated numerically. In particular, solutions to the random Duffing oscillator with random Gaussian and non-Gaussian excitations are obtained by means of the generalized polynomial chaos (GPC). Adaptive procedures are proposed to lower the increased computational cost of the GPC approach in large-dimensional spaces. Adaptive schemes combined with the use of an enriched representation of the system improve the accuracy of the GPC approach by reordering the random modes according to their magnification by the system.