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Application of high-credible statistical results calculation scheme based on least squares Quasi-Monte Carlo method in multimodal stochastic problems
16 references·3 citing·48 second hopsampled
Application of high-credible statistical results calculation scheme based on least squares Quasi-Monte Carlo method in multimodal stochastic problems (2023)Application of high-credible statistical …A new method for stochastic analysis of structures under limited observations (2022)A new method for stochastic a…Reliability analysis of structures with multimodal distributions based on direct probability integral method (2021)Reliability analysis of struc…A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers (2020)A novel interval dynamic reli…A general frame for uncertainty propagation under multimodally distributed random variables (2020)A general frame for uncertain…Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Direct probability integral m…A high-precision probabilistic uncertainty propagation method for problems involving multimodal distributions (2019)A high-precision probabilisti…A Copula-based perturbation stochastic method for fiber-reinforced composite structures with correlations (2017)A Copula-based perturbation s…Uncertainty propagation of heat conduction problem with multiple random inputs (2016)Uncertainty propagation of he…Collocation methods for uncertain heat convection-diffusion problem with interval input parameters (2016)Collocation methods for uncer…A modified stochastic perturbation method for stochastic hyperbolic heat conduction problems (2016)A modified stochastic perturb…A sparse grid stochastic collocation method for structural reliability analysis (2014)A sparse grid stochastic coll…Time-dependent generalized polynomial chaos (2010)Time-dependent generalized po…A stochastic collocation method for large classes of mechanical problems with uncertain parameters (2010)A stochastic collocation meth…Nataf transformation based point estimate method (2008)Nataf transformation based po…Efficient stochastic Galerkin methods for random diffusion equations (2008)Efficient stochastic Galerkin…A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)A generalized dimension‐reduc…Key conditional quotient of random finite element model under measurement conditions (2025)Key conditional quotient of r…Conditional uncertainty propagation of stochastic dynamical structures considering measurement conditions (2025)Conditional uncertainty propa…A new discrepancy for sample generation in stochastic response analyses of aerospace problems with uncertain parameters (2024)A new discrepancy for sample …Stochastic Simulation (1987)Stochastic Finite Elements: A Spectral Approach (1991)Structural Reliability Methods (1996)Comput. 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References

  • 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
  • 2019Direct probability integral method for stochastic response analysis of static and dynamic structural systems201 cited
  • 2008Nataf transformation based point estimate method184 cited
  • 2010Time-dependent generalized polynomial chaos173 cited
  • 2020A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers156 cited
  • 2014A sparse grid stochastic collocation method for structural reliability analysis93 cited
  • 2008Efficient stochastic Galerkin methods for random diffusion equations90 cited
  • 2010A stochastic collocation method for large classes of mechanical problems with uncertain parameters61 cited
  • 2020A general frame for uncertainty propagation under multimodally distributed random variables54 cited
  • 2019A high-precision probabilistic uncertainty propagation method for problems involving multimodal distributions53 cited
  • 2021Reliability analysis of structures with multimodal distributions based on direct probability integral method46 cited
  • 2016Collocation methods for uncertain heat convection-diffusion problem with interval input parameters45 cited
  • 2016A modified stochastic perturbation method for stochastic hyperbolic heat conduction problems43 cited

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2017
A Copula-based perturbation stochastic method for fiber-reinforced composite structures with correlations
40 cited
  • 2016Uncertainty propagation of heat conduction problem with multiple random inputs38 cited
  • 2022A new method for stochastic analysis of structures under limited observations33 cited
  • Cited by

    • 2024A new discrepancy for sample generation in stochastic response analyses of aerospace problems with uncertain parameters20 cited
    • 2025Conditional uncertainty propagation of stochastic dynamical structures considering measurement conditions11 cited
    • 2025Key conditional quotient of random finite element model under measurement conditions10 cited