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Stochastic modeling and identification of an uncertain computational dynamical model with random fields properties and model uncertainties
16 references·2 citing·29 second hop
Stochastic modeling and identification of an uncertain computational dynamical model with random fields properties and model uncertainties (2012)Stochastic modeling and identification of…Spectral Methods for Uncertainty Quantification (2010)Spectral Methods for Uncertai…Spectral methods for uncertainty quantification : with applications to computational fluid dynamics (2010)Spectral methods for uncertai…Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Uncertainty Quantification an…Sparse grid collocation schemes for stochastic natural convection problems (2007)Sparse grid collocation schem…On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data (2006)On the construction and analy…Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures (2006)Multi-Element Generalized Pol…Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (2004)Physical Systems with Random …Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes (2004)Numerical Challenges in the U…Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Galerkin methods for linear a…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …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 Element Expansion for Random Media (1989)Stochastic Finite Element Exp…Random fields and stochastic finite elements (1986)Random fields and stochastic …Stochastic modeling of periodic beams under uncertain boundary conditions and environmental fluctuations (2024)Stochastic modeling of period…Stochastic finite element method based on point estimate and Karhunen–Loéve expansion (2021)Stochastic finite element met…Neumann Expansion for Stochastic Finite Element Analysis (1988)Polynomial Chaos in Stochastic Finite Elements (1990)A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)Stochastic Finite Elements: A Spectral Approach (1991)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Simulation and the Monte Carlo Method (1981)Maximum entropy approach for modeling random uncertainties in transient elastodynamics (2001)Random matrix theory for modeling uncertainties in computational mechanics (2004)A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics (2005)Simulation and the Monte Carlo Method (2016)Response Surfaces: Designs and Analyses (1997)An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Point-Collocation Nonintrusive Polynomial Chaos Method for Stochastic Computational Fluid Dynamics (2010)A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing (2011)Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients (2011)An Introduction to Computational Stochastic PDEs (2014)Modern Monte Carlo methods for efficient uncertainty quantification and propagation: A survey (2020)Simulation-based optimal Bayesian experimental design for nonlinear systems (2012)Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies (2014)Stochastic finite element methods for partial differential equations with random input data (2014)Fast Numerical Methods for Stochastic Computations: A Review (2009)On the convergence of generalized polynomial chaos expansions (2011)Global sensitivity analysis using polynomial chaos expansions (2007)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators (2005)
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References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2010Spectral Methods for Uncertainty Quantification953 cited
  • 2008Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics769 cited
  • 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
  • 2010Spectral methods for uncertainty quantification : with applications to computational fluid dynamics572 cited
  • 2004Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations556 cited
  • 1989Stochastic Finite Element Expansion for Random Media512 cited
  • 2006Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures498 cited
  • 1993Entropy optimization principles with applications493 cited
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  • 2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
  • 1999Ingredients for a general purpose stochastic finite elements implementation401 cited

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  • 1986Random fields and stochastic finite elements307 cited
  • 2006On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data191 cited
  • Cited by

    • 2021Stochastic finite element method based on point estimate and Karhunen–Loéve expansion21 cited
    • 2024Stochastic modeling of periodic beams under uncertain boundary conditions and environmental fluctuations11 cited