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Random matrix theory for modeling uncertainties in computational mechanics
9 references·16 citing·26 second hop
Random matrix theory for modeling uncertainties in computational mechanics (2004)Random matrix theory for modeling uncerta…Maximum entropy approach for modeling random uncertainties in transient elastodynamics (2001)Maximum entropy approach for …A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)A nonparametric model of rand…Ingredients for a general purpose stochastic finite elements implementation (1999)Ingredients for a general pur…A state-of-the-art report on computational stochastic mechanics (1997)A state-of-the-art report on …Entropy optimization principles with applications (1993)Entropy optimization principl…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Stochastic Finite Element Expansion for Random Media (1989)Stochastic Finite Element Exp…Stochastic Finite Element Analysis of Simple Beams (1983)Stochastic Finite Element Ana…The stochastic finite-element method (1980)The stochastic finite-element…Uncertainty quantification through the Monte Carlo method in a cloud computing setting (2014)Uncertainty quantification th…Stochastic finite element methods for partial differential equations with random input data (2014)Stochastic finite element met…The vibro-acoustic analysis of built-up systems using a hybrid method with parametric and non-parametric uncertainties (2012)The vibro-acoustic analysis o…Stochastic Models of Uncertainties in Computational Mechanics (2012)Stochastic Models of Uncertai…Stochastic modeling of uncertainties in computational structural dynamics—Recent theoretical advances (2011)Stochastic modeling of uncert…A computational inverse method for identification of non-Gaussian random fields using the Bayesian approach in very high dimension (2011)A computational inverse metho…Generalized probabilistic approach of uncertainties in computational dynamics using random matrices and polynomial chaos decompositions (2009)Generalized probabilistic app…A 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this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 1980The stochastic finite-element method641 cited
  • 1989Stochastic Finite Element Expansion for Random Media512 cited
  • 1993Entropy optimization principles with applications493 cited
  • 2000A nonparametric model of random uncertainties for reduced matrix models in structural dynamics475 cited
  • 1983Stochastic Finite Element Analysis of Simple Beams439 cited
  • 1997A state-of-the-art report on computational stochastic mechanics424 cited
  • 1999Ingredients for a general purpose stochastic finite elements implementation401 cited
  • 2001Maximum entropy approach for modeling random uncertainties in transient elastodynamics324 cited

Cited by

  • 2005A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics229 cited
  • 2014Stochastic finite element methods for partial differential equations with random input data218 cited
  • 2005Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators183 cited
  • 2011Stochastic modeling of uncertainties in computational structural dynamics—Recent theoretical advances161 cited
  • 2008Stochastic reduced order models for uncertain geometrically nonlinear dynamical systems

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153 cited
  • 2007Efficient characterization of the random eigenvalue problem in a polynomial chaos decomposition132 cited
  • 2008Construction of probability distributions in high dimension using the maximum entropy principle: Applications to stochastic processes, random fields and random matrices117 cited
  • 2012Stochastic Models of Uncertainties in Computational Mechanics112 cited
  • 2014Uncertainty quantification through the Monte Carlo method in a cloud computing setting96 cited
  • 2009Generalized probabilistic approach of uncertainties in computational dynamics using random matrices and polynomial chaos decompositions93 cited
  • 2005Probabilistic approach for model and data uncertainties and its experimental identification in structural dynamics: Case of composite sandwich panels83 cited
  • 2012The vibro-acoustic analysis of built-up systems using a hybrid method with parametric and non-parametric uncertainties73 cited
  • 2006Data and model uncertainties in complex aerospace engineering systems70 cited
  • 2008Domain decomposition of stochastic PDEs: Theoretical formulations65 cited
  • 2009A Bounded Random Matrix Approach for Stochastic Upscaling63 cited
  • 2011A computational inverse method for identification of non-Gaussian random fields using the Bayesian approach in very high dimension61 cited