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A New Sparse Grid Based Method for Uncertainty Propagation
16 references·1 citing·39 second hopsampled
A New Sparse Grid Based Method for Uncertainty Propagation (2009)A New Sparse Grid Based Method for Uncert…Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems (2008)Inverse analysis method using…Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis (2008)Eigenvector dimension reducti…A comparative study of uncertainty propagation methods for black-box-type problems (2008)A comparative study of uncert…Dimension reduction method for reliability-based robust design optimization (2007)Dimension reduction method fo…High-Order Collocation Methods for Differential Equations with Random Inputs (2005)High-Order Collocation Method…Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design (2004)Sequential Optimization and R…Application of kriging method to structural reliability problems (2004)Application of kriging method…An Integrated Framework for Optimization Under Uncertainty Using Inverse Reliability Strategy (2004)An Integrated Framework for O…An efficient algorithm for constructing optimal design of computer experiments (2004)An efficient algorithm for co…A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)A univariate dimension-reduct…A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)A generalized dimension‐reduc…Efficient statistical tolerance analysis for general distributions using three-point information (2002)Efficient statistical toleran…Reliability analysis—a review and some perspectives (2001)Reliability analysis—a review…Directional methods for structural reliability analysis (2000)Directional methods for struc…Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design (1999)Towards a Better Understandin…Computational methods for efficient structural reliability and reliability sensitivity analysis (1994)Computational methods for eff…Dynamic reliability analysis of gear transmission system based on sparse grid numerical integration and saddle‐point approximation method (2022)Dynamic reliability analysis …Exact and Invariant Second-Moment Code Format (1974)A critical appraisal of reliability estimation procedures for high dimensions (2004)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Metamodel-based importance sampling for structural reliability analysis (2013)The Logic of Scientific Discovery (2013)Structural Reliability Analysis and Prediction (2017)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Minimax and maximin distance designs (1990)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Design of computer experiments: space filling and beyond 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survey on approaches for reliability-based optimization (2010)Structural reliability analysis based on the concepts of entropy, fractional moment and dimensional reduction method (2013)Computational methods in optimization considering uncertainties – An overview (2008)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. 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References

  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2004Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design1,106 cited
  • 2001Reliability analysis—a review and some perspectives775 cited
  • 2004Application of kriging method to structural reliability problems709 cited
  • 2004An efficient algorithm for constructing optimal design of computer experiments671 cited
  • 2004A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics568 cited
  • 2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
  • 1994Computational methods for efficient structural reliability and reliability sensitivity analysis388 cited
  • 1999Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design371 cited
  • 2008A comparative study of uncertainty propagation methods for black-box-type problems331 cited
  • 2000Directional methods for structural reliability analysis278 cited
  • 2004An Integrated Framework for Optimization Under Uncertainty Using Inverse Reliability Strategy272 cited
  • 2007Dimension reduction method for reliability-based robust design optimization196 cited
  • 2008Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems

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186 cited
  • 2008Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis179 cited
  • 2002Efficient statistical tolerance analysis for general distributions using three-point information165 cited
  • Cited by

    • 2022Dynamic reliability analysis of gear transmission system based on sparse grid numerical integration and saddle‐point approximation method11 cited