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Introduction to Uncertainty Quantification
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Introduction to Uncertainty Quantification (2016)Introduction to Uncertainty QuantificationA hybrid polynomial chaos expansion – Gaussian process regression method for Bayesian uncertainty quantification and sensitivity analysis (2025)A hybrid polynomial chaos exp…Uncertainty quantification and sensitivity analysis of the SST turbulence model applied to VIV (2024)Uncertainty quantification an…An overview on uncertainty quantification and probabilistic learning on manifolds in multiscale mechanics of materials (2023)An overview on uncertainty qu…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…Uncertainsci: Uncertainty Quantification for Computational Models in Biomedicine and Bioengineering (2022)Uncertainsci: Uncertainty Qua…Arbitrary multi-resolution multi-wavelet-based polynomial chaos expansion for data-driven uncertainty quantification (2022)Arbitrary multi-resolution mu…Statistical Model Verification and Validation Concept in Automotive Vehicle Design (2020)Statistical Model Verificatio…On the performance evaluation of stochastic finite elements in linear and nonlinear problems (2020)On the performance evaluation…An efficient numerical method to solve 2-D interval bi-modular problems via orthogonal polynomial expansion (2020)An efficient numerical method…Adaptive sampling-based quadrature rules for efficient Bayesian prediction (2020)Adaptive sampling-based quadr…IGA-based multi-index stochastic collocation for random PDEs on arbitrary domains (2019)IGA-based multi-index stochas…Stochastic Finite Elements: A Spectral Approach (1991)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Uncertainty Quantification: Theory, Implementation, and Applications (2013)Uncertainty Quantification of Ship Resistance via Multi-Index Stochastic Collocation and Radial Basis Function Surrogates: A Comparison (2020)A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems (2009)Spectral Methods for Uncertainty Quantification (2010)Introduction to Uncertainty Quantification (2015)The Logic of Scientific Discovery. (1960)Conjectures and Refutations: The Growth of Scientific Knowledge. (1964)Verification, Validation, and Confirmation of Numerical Models in the Earth Sciences (1994)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Stochastic dynamic stiffness for damped taut membranes (2021)A new paradigm for the efficient inclusion of stochasticity in engineering simulations: Time-separated stochastic mechanics (2024)A novel uncertainty quantification method for determining deformations and reliabilities of stochastic laminated composite plates with geometric nonlinearity (2024)Global sensitivity analysis using polynomial chaos expansions (2007)Parameterized coefficient fine-tuning-based polynomial chaos expansion method for sphere-biconic reentry vehicle reliability analysis and design (2023)Sparse moment quadrature for uncertainty modeling and quantification (2023)Deep Learning-Based Multifidelity Surrogate Modeling for High-Dimensional Reliability Prediction (2024)Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)Global Sensitivity Analysis and Uncertainty Quantification for Simulated Atrial Electrocardiograms (2022)PyApprox: A software package for sensitivity analysis, Bayesian inference, optimal experimental design, and multi-fidelity uncertainty quantification and surrogate modeling (2023)Uncertainty Quantification for In Silico Chemistry (2026)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Multiscale simulation of spatially correlated microstructure via a latent space representation (2024)Joint probabilistic modelling and sampling from small data via probabilistic learning on manifolds and decoupled multi-probability density evolution method (2025)Importance measures in global sensitivity analysis of nonlinear models (1996)Numerical Methods for Stochastic Computations: A Spectral Method Approach (2010)Nonparametric formulation of polynomial chaos expansion based on least-square support-vector machines (2024)Coupled axial-lateral-torsional stochastic dynamics of a rotor-bearing system subjected to periodic pulse and unbalanced excitations (2025)
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Cited by

  • 2023An overview on uncertainty quantification and probabilistic learning on manifolds in multiscale mechanics of materials38 cited
  • 2022Uncertainsci: Uncertainty Quantification for Computational Models in Biomedicine and Bioengineering28 cited
  • 2020Statistical Model Verification and Validation Concept in Automotive Vehicle Design24 cited
  • 2025A hybrid polynomial chaos expansion – Gaussian process regression method for Bayesian uncertainty quantification and sensitivity analysis18 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
  • 2020On the performance evaluation of stochastic finite elements in linear and nonlinear problems17 cited
  • 2019IGA-based multi-index stochastic collocation for random PDEs on arbitrary domains13 cited
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  • 2024Uncertainty quantification and sensitivity analysis of the SST turbulence model applied to VIV9 cited
  • 2020An efficient numerical method to solve 2-D interval bi-modular problems via orthogonal polynomial expansion9 cited

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