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The dimension-reduction strategy via mapping for probability density evolution analysis of nonlinear stochastic systems
16 references·10 citing·27 second hop
The dimension-reduction strategy via mapping for probability density evolution analysis of nonlinear stochastic systems (2006)The dimension-reduction strategy via mapp…Stochastic Finite Element Method (2021)Stochastic Finite Element Met…The probability density evolution method for dynamic response analysis of non‐linear stochastic structures (2005)The probability density evolu…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…A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters (2002)A new approach for the stocha…Stochastic finite element method for elasto-plastic body (1999)Stochastic finite element met…Monte Carlo Treatment of Random Fields: A Broad Perspective (1998)Monte Carlo Treatment of Rand…A state-of-the-art report on computational stochastic mechanics (1997)A state-of-the-art report on …Response of Systems with Uncertain Parameters to Stochastic Excitation (1992)Response of Systems with Unce…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Polynomial Chaos in Stochastic Finite Elements (1990)Polynomial Chaos in Stochasti…Transient probabilistic systems (1988)Transient probabilistic syste…Probabilistic finite elements for nonlinear structural dynamics (1986)Probabilistic finite elements…The stochastic finite-element method (1980)The stochastic finite-element…Digital simulation of random processes and its applications (1972)Digital simulation of random …Probabilistic Structural Dynamics: Advanced Theory and Applications (1967)Probabilistic Structural Dyna…High-dimensional points selection strategy for PDEM-based stochastic dynamic analysis of structures (2025)High-dimensional points selec…An improved solution of the probability density evolution equation for analyzing stochastic structural responses with adaptive time steps and initial conditions (2024)An improved solution of the p…A partial decomposition cutting method with CF-discrepancy for points selection in stochastic seismic analysis of structures (2024)A partial decomposition cutti…Harmonic transform-based non-parametric density estimation method for forward uncertainty propagation and reliability analysis (2023)Harmonic transform-based non-…High-dimensional reliability analysis based on the improved number-theoretical method (2022)High-dimensional reliability …Improvement to the discretized initial condition of the generalized density evolution equation (2021)Improvement to the discretize…Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process (2020)Path Integral Methods for the…A global sensitivity index based on Fréchet derivative and its efficient numerical analysis (2020)A global sensitivity index ba…Verification of probability density evolution method through shaking table tests of a randomly base-driven structure (2017)Verification of probability d…A marginal fractional moments based strategy for points selection in seismic response analysis of nonlinear structures with uncertain parameters (2016)A marginal fractional moments…Stochastic Finite Element Expansion for Random Media (1989)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)Neumann Expansion for Stochastic Finite Element Analysis (1988)The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters (2006)The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)Advances of the probability density evolution method for nonlinear stochastic systems (2011)Exact and Invariant Second-Moment Code Format (1974)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Fast Numerical Methods for Stochastic Computations: A Review (2009)Probability Concepts in Engineering Planning and Design (1975)Probabilistic Theory of Structural Dynamics (1976)Random field finite elements (1986)The stochastic finite element method in structural reliability (1987)Random vibration and statistical linearization (1990)Stochastic Differential Equations (2003)Probability density evolution method: Background, significance and recent developments (2015)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)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 generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)Applications of Hilbert–Huang transform to non‐stationary financial time series analysis (2003)The principle of preservation of probability and the generalized density evolution equation (2006)
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 1972Digital simulation of random processes and its applications1,663 cited
  • 1980The stochastic finite-element method641 cited
  • 1967Probabilistic Structural Dynamics: Advanced Theory and Applications629 cited
  • 1997A state-of-the-art report on computational stochastic mechanics424 cited
  • 1990Polynomial Chaos in Stochastic Finite Elements416 cited
  • 1986Probabilistic finite elements for nonlinear structural dynamics396 cited
  • 2004Probability density evolution method for dynamic response analysis of structures with uncertain parameters368 cited
  • 1998Monte Carlo Treatment of Random Fields: A Broad Perspective225 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
  • 2002A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters138 cited
  • 1992Response of Systems with Uncertain Parameters to Stochastic Excitation121 cited
  • 2021Stochastic Finite Element Method96 cited
  • 1999Stochastic finite element method for elasto-plastic body

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95 cited
  • 1988Transient probabilistic systems93 cited
  • Cited by

    • 2016A marginal fractional moments based strategy for points selection in seismic response analysis of nonlinear structures with uncertain parameters34 cited
    • 2020Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process30 cited
    • 2020A global sensitivity index based on Fréchet derivative and its efficient numerical analysis26 cited
    • 2022High-dimensional reliability analysis based on the improved number-theoretical method23 cited
    • 2025High-dimensional points selection strategy for PDEM-based stochastic dynamic analysis of structures22 cited
    • 2023Harmonic transform-based non-parametric density estimation method for forward uncertainty propagation and reliability analysis18 cited
    • 2024A partial decomposition cutting method with CF-discrepancy for points selection in stochastic seismic analysis of structures12 cited
    • 2021Improvement to the discretized initial condition of the generalized density evolution equation12 cited
    • 2024An improved solution of the probability density evolution equation for analyzing stochastic structural responses with adaptive time steps and initial conditions11 cited
    • 2017Verification of probability density evolution method through shaking table tests of a randomly base-driven structure9 cited