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Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario
16 references·5 citing·36 second hop
Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario (2018)Comparison of data-driven uncertainty qua…Moment-based metrics for global sensitivity analysis of hydrological systems (2017)Moment-based metrics for glob…SAMBA: Sparse Approximation of Moment-Based Arbitrary Polynomial Chaos (2016)SAMBA: Sparse Approximation o…Efficient Bayesian inference of subsurface flow models using nested sampling and sparse polynomial chaos surrogates (2013)Efficient Bayesian inference …Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Data-driven uncertainty quant…Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws (2012)Adaptive Anisotropic Spectral…A concept for data-driven uncertainty quantification and its application to carbon dioxide storage in geological formations (2011)A concept for data-driven unc…Multi-element probabilistic collocation method in high dimensions (2009)Multi-element probabilistic c…An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)An adaptive hierarchical spar…Uncertainty quantification for systems of conservation laws (2008)Uncertainty quantification fo…Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach (2008)Sparse polynomial chaos expan…Modeling physical uncertainties in dynamic stall induced fluid–structure interaction of turbine blades using arbitrary polynomial chaos (2007)Modeling physical uncertainti…An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)An adaptive multi-element gen…Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations (2004)Galerkin methods for linear a…Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Latin hypercube sampling and …Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems (1998)Stochastic Response Surface M…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…A fully Bayesian sparse polynomial chaos expansion approach with joint priors on the coefficients and global selection of terms (2023)A fully Bayesian sparse polyn…Arbitrary multi-resolution multi-wavelet-based polynomial chaos expansion for data-driven uncertainty quantification (2022)Arbitrary multi-resolution mu…Surrogate-based Bayesian comparison of computationally expensive models: application to microbially induced calcite precipitation (2021)Surrogate-based Bayesian comp…Global sensitivity analysis of a CaO/Ca(OH)2 thermochemical energy storage model for parametric effect analysis (2021)Global sensitivity analysis o…B-splines on sparse grids for surrogates in uncertainty quantification (2021)B-splines on sparse grids for…Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems (2010)An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations (2010)Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection (2015)Statistics for Experimenters: An Introduction to Design, Data Analysis and Model Building. 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References

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  • 2003Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems2,707 cited
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  • 2004Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations556 cited
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  • 2008Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach270 cited
  • 2009Multi-element probabilistic collocation method in high dimensions203 cited
  • 2008Uncertainty quantification for systems of conservation laws177 cited
  • 2007Modeling physical uncertainties in dynamic stall induced fluid–structure interaction of turbine blades using arbitrary polynomial chaos139 cited
  • 2011A concept for data-driven uncertainty quantification and its application to carbon dioxide storage in geological formations106 cited
  • 2016SAMBA: Sparse Approximation of Moment-Based Arbitrary Polynomial Chaos100 cited

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  • 2013Efficient Bayesian inference of subsurface flow models using nested sampling and sparse polynomial chaos surrogates99 cited
  • 2017Moment-based metrics for global sensitivity analysis of hydrological systems82 cited
  • 2012Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws41 cited
  • Cited by

    • 2021B-splines on sparse grids for surrogates in uncertainty quantification19 cited
    • 2022Arbitrary multi-resolution multi-wavelet-based polynomial chaos expansion for data-driven uncertainty quantification18 cited
    • 2023A fully Bayesian sparse polynomial chaos expansion approach with joint priors on the coefficients and global selection of terms18 cited
    • 2021Global sensitivity analysis of a CaO/Ca(OH)2 thermochemical energy storage model for parametric effect analysis14 cited
    • 2021Surrogate-based Bayesian comparison of computationally expensive models: application to microbially induced calcite precipitation10 cited