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Random matrix theory for modeling uncertainties in computational mechanics · Study

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ArticleRandom matrix theory for modeling uncertainties in computational mechanics

Christian Soize2004

OA

Articlegreen2004

Random matrix theory for modeling uncertainties in computational mechanics

Christian Soize

265 citations·0/0 files stored·Computer Methods in Applied Mechanics and Engineering

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Probabilistic and Robust Engineering Design Control Systems and Identification Fuzzy Systems and Optimization

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References

1991Stochastic Finite Elements: A Spectral Approach 1980The stochastic finite-element method 1989Stochastic Finite Element Expansion for Random Media 1993Entropy optimization principles with applications 2000A nonparametric model of random uncertainties for reduced matrix models in structural dynamics 1983Stochastic Finite Element Analysis of Simple Beams 1997A state-of-the-art report on computational stochastic mechanics 1999Ingredients for a general purpose stochastic finite elements implementation

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2005A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics 2014Stochastic finite element methods for partial differential equations with random input data 2005Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators 2011Stochastic modeling of uncertainties in computational structural dynamics—Recent theoretical advances 2008Stochastic reduced order models for uncertain geometrically nonlinear dynamical systems

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2005Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operatorsarticle · 9 shared references 2005A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamicsarticle · 7 shared references 2003Random matrix theory and non-parametric model of random uncertainties in vibration analysisarticle · 7 shared references 2001Transient responses of dynamical systems with random uncertaintiesarticle · 7 shared references 2008Construction of probability distributions in high dimension using the maximum entropy principle: Applications to stochastic processes, random fields and random matricesarticle · 6 shared references 2003Random Uncertainties Model in Dynamic Substructuring Using a Nonparametric Probabilistic Modelarticle · 6 shared references

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Year2004

Typearticle

Published2004-12-15

VenueComputer Methods in Applied Mechanics and Engineering

ISSN-L0045-7825

Languageen

Citations265

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1016/j.cma.2004.06.038

openalex_workW1997969642

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2007Efficient characterization of the random eigenvalue problem in a polynomial chaos decomposition

2008Construction of probability distributions in high dimension using the maximum entropy principle: Applications to stochastic processes, random fields and random matrices

2012Stochastic Models of Uncertainties in Computational Mechanics