SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
A new sparse grid based method for uncertainty propagation
16 references·16 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…Rare event estimation with sequential directional importance sampling (2022)Rare event estimation with se…Kinematic trajectory accuracy reliability analysis for industrial robots considering intercorrelations among multi-point positioning errors (2022)Kinematic trajectory accuracy…An advanced mixed-degree cubature formula for reliability analysis (2022)An advanced mixed-degree cuba…Socio-technical scales in socio-environmental modeling: Managing a system-of-systems modeling approach (2020)Socio-technical scales in soc…On reliability analysis method through rotational sparse grid nodes (2020)On reliability analysis metho…Direct probability integral method for static and dynamic reliability analysis of structures with complicated performance functions (2020)Direct probability integral m…Adaptive Bayesian support vector regression model for structural reliability analysis (2020)Adaptive Bayesian support vec…A computational framework of kinematic accuracy reliability analysis for industrial robots (2020)A computational framework of …An active learning reliability method with multiple kernel functions based on radial basis function (2019)An active learning reliabilit…Time-variant reliability assessment for multiple failure modes and temporal parameters (2018)Time-variant reliability asse…A new method for reliability assessment of structural dynamic systems with random parameters (2016)A new method for reliability …Cokriging for Robust Design Optimization (2012)Cokriging for Robust Design O…A Sequential Sampling Strategy to Improve Reliability-Based Design Optimization With Implicit Constraint Functions (2012)A Sequential Sampling Strateg…A Novel Second-Order Reliability Method (SORM) Using Noncentral or Generalized Chi-Squared Distributions (2012)A Novel Second-Order Reliabil…A comparative study of probability estimation methods for reliability analysis (2011)A comparative study of probab…Computational uncertainty analysis in multiresolution materials via stochastic constitutive theory (2010)Computational uncertainty ana…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 (2011)Monte-Carlo based uncertainty analysis: Sampling efficiency and sampling convergence (2012)Design of computer experiments: A review (2017)Structural reliability under combined random load sequences (1978)Stochastic Finite Elements: A Spectral Approach (1991)Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems (2010)Modeling, analysis, and optimization under uncertainties: a review (2021)Recent Advances in Surrogate Modeling Methods for Uncertainty Quantification and Propagation (2022)On the Experimental Attainment of Optimum Conditions (1951)A fast and efficient response surface approach for structural reliability problems (1990)On the Experimental Attainment of Optimum Conditions (1992)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)Support vector machine in structural reliability analysis: A review (2023)Quality Engineering Using Robust Design (1991)The use of metamodeling techniques for optimization under uncertainty (2003)A review of robust optimal design and its application in dynamics (2004)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)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)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Second‐Order Reliability Approximations (1987)Importance sampling in structural systems (1989)Advanced probabilistic structural analysis method for implicit performance functions (1990)Reliability-based design optimization for crashworthiness of vehicle side impact (2004)A new learning function for Kriging and its applications to solve reliability problems in engineering (2015)A 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. Version 5.0, user's manual. (2010)
this work references cited by second hop· second hop is a sample of the most-cited connections

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

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

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

    • 2020Adaptive Bayesian support vector regression model for structural reliability analysis121 cited
    • 2012A Novel Second-Order Reliability Method (SORM) Using Noncentral or Generalized Chi-Squared Distributions90 cited
    • 2020Socio-technical scales in socio-environmental modeling: Managing a system-of-systems modeling approach88 cited
    • 2012Cokriging for Robust Design Optimization86 cited
    • 2018Time-variant reliability assessment for multiple failure modes and temporal parameters83 cited
    • 2020A computational framework of kinematic accuracy reliability analysis for industrial robots80 cited
    • 2020On reliability analysis method through rotational sparse grid nodes75 cited
    • 2022Kinematic trajectory accuracy reliability analysis for industrial robots considering intercorrelations among multi-point positioning errors72 cited
    • 2010Computational uncertainty analysis in multiresolution materials via stochastic constitutive theory68 cited
    • 2016A new method for reliability assessment of structural dynamic systems with random parameters63 cited
    • 2022An advanced mixed-degree cubature formula for reliability analysis62 cited
    • 2011A comparative study of probability estimation methods for reliability analysis61 cited
    • 2022Rare event estimation with sequential directional importance sampling59 cited
    • 2019An active learning reliability method with multiple kernel functions based on radial basis function59 cited
    • 2012A Sequential Sampling Strategy to Improve Reliability-Based Design Optimization With Implicit Constraint Functions54 cited
    • 2020Direct probability integral method for static and dynamic reliability analysis of structures with complicated performance functions54 cited