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Dakota, a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis version 6.0 theory manual
16 references·16 citing·33 second hopsampled
Dakota, a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis version 6.0 theory manual (2014)Dakota, a multilevel parallel object-orie…A non-adapted sparse approximation of PDEs with stochastic inputs (2011)A non-adapted sparse approxim…DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)DAKOTA : a multilevel paralle…Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive sparse polynomial ch…Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification (2009)Comparison of Non-Intrusive P…An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)An Anisotropic Sparse Grid St…A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)A Sparse Grid Stochastic Coll…Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)Efficient Sampling for Non-In…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…Finite elements for elliptic problems with stochastic coefficients (2004)Finite elements for elliptic …Probability, reliability and statistical methods in engineering design (1999)Probability, reliability and …A New Study on Reliability-Based Design Optimization (1999)A New Study on Reliability-Ba…Designs for Computer Experiments (1989)Designs for Computer Experime…Improvement Of Second‐Order Reliability Estimates by Importance Sampling (1988)Improvement Of Second‐Order R…Structural Reliability under Incomplete Probability Information (1986)Structural Reliability under …Structural reliability under combined random load sequences (1978)Structural reliability under …Uncertainty Quantification Analysis of Exhaust Gas Plume in a Crosswind (2023)Uncertainty Quantification An…PyApprox: A software package for sensitivity analysis, Bayesian inference, optimal experimental design, and multi-fidelity uncertainty quantification and surrogate modeling (2023)PyApprox: A software package …Uncertainty Quantification of Material Properties in Ballistic Impact of Magnesium Alloys (2022)Uncertainty Quantification of…Sensitivity analysis: A discipline coming of age (2021)Sensitivity analysis: A disci…PolyChaos.jl — A Julia Package for Polynomial Chaos in Systems and Control (2020)PolyChaos.jl — A Julia Packag…Uncertainty Quantification of a Rotorcraft Conceptual Sizing Toolsuite (2019)Uncertainty Quantification of…Performance of non-intrusive uncertainty quantification in the aeroservoelastic simulation of wind turbines (2019)Performance of non-intrusive …A framework for global reliability sensitivity analysis in the presence of multi-uncertainty (2019)A framework for global reliab…Probabilistic nonconvex constrained optimization with fixed number of function evaluations (2017)Probabilistic nonconvex const…Multifidelity Uncertainty Quantification Using Spectral Stochastic Discrepancy Models (2017)Multifidelity Uncertainty Qua…High‐dimensional uncertainty quantification for an electrothermal field problem using stochastic collocation on sparse grids and tensor train decompositions (2017)High‐dimensional uncertainty …Dakota: Bridging Advanced Scalable Uncertainty Quantification Algorithms with Production Deployment (2017)Dakota: Bridging Advanced Sca…POF-Darts: Geometric adaptive sampling for probability of failure (2016)POF-Darts: Geometric adaptive…Error correction in multi-fidelity molecular dynamics simulations using functional uncertainty quantification (2016)Error correction in multi-fid…Multifidelity Uncertainty Quantification Using Spectral Stochastic Discrepancy Models (2015)Multifidelity Uncertainty Qua…Multifidelity Uncertainty Quantification Using Non-Intrusive Polynomial Chaos and Stochastic Collocation (2012)Multifidelity Uncertainty Qua…Stochastic Finite Elements: A Spectral Approach (1991)Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design (2009)Chaospy: An open source tool for designing methods of uncertainty quantification (2015)Exact and Invariant Second-Moment Code Format (1974)Narrow Reliability Bounds for Structural Systems (1979)Second‐Order Reliability Approximations (1987)Optimal Discretization of Random Fields (1993)Reliability analysis—a review and some perspectives (2001)Simulation Modeling and Analysis. (1983)Design and Analysis of Computer Experiments (1989)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)POLYNOMIAL-CHAOS-BASED KRIGING (2015)Simulation and the Monte Carlo Method (1981)Hybrid Analysis Method for Reliability-Based Design Optimization (2003)Methods of structural safety (2006)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Simulation and the Monte Carlo Method (2016)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)Quality Engineering Using Robust Design (1991)Computational methods in optimization considering uncertainties – An overview (2008)Structural Reliability Analysis and Prediction (2017)Structural Reliability Methods (1996)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions (2008)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization (2018)Verification, validation, and predictive capability in computational engineering and physics (2004)
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References

  • 1978Structural reliability under combined random load sequences2,229 cited
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
  • 1999Probability, reliability and statistical methods in engineering design1,377 cited
  • 2004Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design1,106 cited
  • 1999A New Study on Reliability-Based Design Optimization988 cited
  • 1989Designs for Computer Experiments970 cited
  • 2008A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data942 cited
  • 1986Structural Reliability under Incomplete Probability Information853 cited
  • 2010DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual.775 cited
  • 2008An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data494 cited
  • 2011A non-adapted sparse approximation of PDEs with stochastic inputs436 cited
  • 1988Improvement Of Second‐Order Reliability Estimates by Importance Sampling382 cited
  • 2004Finite elements for elliptic problems with stochastic coefficients

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364 cited
  • 2009Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification348 cited
  • 2007Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables347 cited
  • Cited by

    • 2012Multifidelity Uncertainty Quantification Using Non-Intrusive Polynomial Chaos and Stochastic Collocation162 cited
    • 2021Sensitivity analysis: A discipline coming of age87 cited
    • 2017Probabilistic nonconvex constrained optimization with fixed number of function evaluations28 cited
    • 2019A framework for global reliability sensitivity analysis in the presence of multi-uncertainty27 cited
    • 2016Error correction in multi-fidelity molecular dynamics simulations using functional uncertainty quantification25 cited
    • 2023PyApprox: A software package for sensitivity analysis, Bayesian inference, optimal experimental design, and multi-fidelity uncertainty quantification and surrogate modeling19 cited
    • 2020PolyChaos.jl — A Julia Package for Polynomial Chaos in Systems and Control18 cited
    • 2019Performance of non-intrusive uncertainty quantification in the aeroservoelastic simulation of wind turbines16 cited
    • 2023Uncertainty Quantification Analysis of Exhaust Gas Plume in a Crosswind15 cited
    • 2015Multifidelity Uncertainty Quantification Using Spectral Stochastic Discrepancy Models15 cited
    • 2022Uncertainty Quantification of Material Properties in Ballistic Impact of Magnesium Alloys14 cited
    • 2017Dakota: Bridging Advanced Scalable Uncertainty Quantification Algorithms with Production Deployment11 cited
    • 2017High‐dimensional uncertainty quantification for an electrothermal field problem using stochastic collocation on sparse grids and tensor train decompositions10 cited
    • 2017Multifidelity Uncertainty Quantification Using Spectral Stochastic Discrepancy Models10 cited
    • 2016POF-Darts: Geometric adaptive sampling for probability of failure8 cited
    • 2019Uncertainty Quantification of a Rotorcraft Conceptual Sizing Toolsuite8 cited