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Functional derivatives for uncertainty quantification and error estimation and reduction via optimal high-fidelity simulations
9 references·0 citing·30 second hop
Functional derivatives for uncertainty quantification and error estimation and reduction via optimal high-fidelity simulations (2013)Functional derivatives for uncertainty qu…Numerical approach for quantification of epistemic uncertainty (2010)Numerical approach for quanti…Microstructure model reduction and uncertainty quantification in multiscale deformation processes (2010)Microstructure model reductio…An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)An adaptive hierarchical spar…Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities (2008)Rigorous verification, valida…Evaluation of Non-Intrusive Approaches for Wiener-Askey Generalized Polynomial Chaos (2008)Evaluation of Non-Intrusive A…Uncertainty Quantification and the Verification and Validation of Computational Models (2005)Uncertainty Quantification an…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Design and Analysis of Computer Experiments (1989)Design and Analysis of Comput…Statistics for experimenters. An introduction to design, data analysis, and model building. (1978)Statistics for experimenters.…High-Order Collocation Methods for Differential Equations with Random Inputs (2005)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)Uncertainty analysis in multiscale modeling of concrete based on continuum micromechanics (2017)An uncertainty quantification framework for multiscale parametrically homogenized constitutive models (PHCMs) of polycrystalline Ti alloys (2021)Stochastic multiscale modeling for quantifying statistical and model errors with application to composite materials (2023)Stochastic Differential Equations: An Introduction with Applications. (1987)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)A non-adapted sparse approximation of PDEs with stochastic inputs (2011)Stochastic finite element methods for partial differential equations with random input data (2014)Verification, validation, and predictive capability in computational engineering and physics (2004)Rigorous model-based uncertainty quantification with application to terminal ballistics, part I: Systems with controllable inputs and small scatter (2011)Quantification of margins and mixed uncertainties using evidence theory and stochastic expansions (2015)Local maximum-entropy based surrogate model and its application to structural reliability analysis (2017)Structural reliability under combined random load sequences (1978)Dakota, a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis version 6.0 theory manual (2014)A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications (2015)Least squares polynomial chaos expansion: A review of sampling strategies (2017)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Generalized Wishart distribution for probabilistic structural dynamics (2010)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index (2009)Taking the Human Out of the Loop: A Review of Bayesian Optimization (2015)Quality Engineering Using Robust Design (1991)A review of techniques for parameter sensitivity analysis of environmental models (1994)Response Surfaces: Designs and Analyses (1997)Decision maps: A framework for multi-criteria decision support under severe uncertainty (2011)Uncertainty Analysis for a Social Vulnerability Index (2012)Polynomial chaos expansions for dependent random variables (2019)
this work references cited by second hop

References

  • 1989Design and Analysis of Computer Experiments6,958 cited
  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 1978Statistics for experimenters. An introduction to design, data analysis, and model building.4,021 cited
  • 2009An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations447 cited
  • 2008Evaluation of Non-Intrusive Approaches for Wiener-Askey Generalized Polynomial Chaos187 cited
  • 2010Numerical approach for quantification of epistemic uncertainty98 cited
  • 2008Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities56 cited
  • 2010Microstructure model reduction and uncertainty quantification in multiscale deformation processes35 cited
  • 2005Uncertainty Quantification and the Verification and Validation of Computational Models27 cited

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