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Point group identification algorithm in dynamic response analysis of nonlinear stochastic systems
16 references·1 citing·25 second hop
Point group identification algorithm in dynamic response analysis of nonlinear stochastic systems (2016)Point group identification algorithm in d…Advances of the probability density evolution method for nonlinear stochastic systems (2011)Advances of the probability d…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications (2008)The multi-element probabilist…Partition of the probability-assigned space in probability density evolution analysis of nonlinear stochastic structures (2007)Partition of the probability-…The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)The Number Theoretical Method…Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures (2006)Multi-Element Generalized Pol…The probability density evolution method for dynamic response analysis of non‐linear stochastic structures (2005)The probability density evolu…High-Order Collocation Methods for Differential Equations with Random Inputs (2005)High-Order Collocation Method…Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)Probability density evolution…Dynamic response and reliability analysis of non-linear stochastic structures (2004)Dynamic response and reliabil…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Random vibration and statistical linearization (1990)Random vibration and statisti…Random vibration and statistical linearization (1990)Random vibration and statisti…Method for Random Vibration of Hysteretic Systems (1976)Method for Random Vibration o…Digital simulation of random processes and its applications (1972)Digital simulation of random …Path integration method based on a decoupling probability mapping for fast solving the stochastic response of dynamical systems (2023)Path integration method based…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)The stochastic finite-element method (1980)Neumann Expansion for Stochastic Finite Element Analysis (1988)A state-of-the-art report on computational stochastic mechanics (1997)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)The equivalent extreme-value event and evaluation of the structural system reliability (2006)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Stochastic Dynamics of Marine Structures (2012)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Simulation of Ergodic Multivariate Stochastic Processes (1996)The stochastic finite element method: Past, present and future (2008)An Introduction to Computational Stochastic PDEs (2014)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation (2004)
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 1976Method for Random Vibration of Hysteretic Systems2,686 cited
  • 1972Digital simulation of random processes and its applications1,663 cited
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 1990Random vibration and statistical linearization995 cited
  • 2009Stochastic Dynamics of Structures923 cited
  • 1990Random vibration and statistical linearization822 cited
  • 2006Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures498 cited
  • 2004Probability density evolution method for dynamic response analysis of structures with uncertain parameters368 cited
  • 2011Advances of the probability density evolution method for nonlinear stochastic systems247 cited
  • 2006The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures220 cited
  • 2005The probability density evolution method for dynamic response analysis of non‐linear stochastic structures219 cited
  • 2004Dynamic response and reliability analysis of non-linear stochastic structures216 cited
  • 2008

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The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications
214 cited
  • 2007Partition of the probability-assigned space in probability density evolution analysis of nonlinear stochastic structures138 cited
  • Cited by

    • 2023Path integration method based on a decoupling probability mapping for fast solving the stochastic response of dynamical systems11 cited