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A Nonintrusive Reduced-Order Model for Uncertainty Quantification in Numerical Solution of One-Dimensional Free-Surface Water Flows Over Stochastic Beds
12 references·0 citing·35 second hop
A Nonintrusive Reduced-Order Model for Uncertainty Quantification in Numerical Solution of One-Dimensional Free-Surface Water Flows Over Stochastic Beds (2021)A Nonintrusive Reduced-Order Model for Un…Uncertainty propagation of dam break flow using the stochastic non-intrusive B-splines Bézier elements-based method (2020)Uncertainty propagation of da…Error Estimation of Polynomial Chaos Approximations in Transient Structural Dynamics (2019)Error Estimation of Polynomia…Polynomial Surrogates for Open-Channel Flows in Random Steady State (2017)Polynomial Surrogates for Ope…Sparse polynomial chaos expansions of vector-valued response quantities (2014)Sparse polynomial chaos expan…Numerical Methods for Stochastic Computations: A Spectral Method Approach (2010)Numerical Methods for Stochas…Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive sparse polynomial ch…An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)An adaptive algorithm to buil…Stochastic finite element: a non intrusive approach by regression (2006)Stochastic finite element: a …Karhunen–Loève approximation of random fields by generalized fast multipole methods (2006)Karhunen–Loève approximation …Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (2004)Physical Systems with Random …A Stochastic Projection Method for Fluid Flow (2002)A Stochastic Projection Metho…Diffusions, Markov Processes and Martingales: Vol. 1, Foundations. (1996)Diffusions, Markov Processes …Stochastic Finite Elements: A Spectral Approach (1991)Fast Numerical Methods for Stochastic Computations: A Review (2009)On the convergence of generalized polynomial chaos expansions (2011)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Structural Reliability Methods (1996)Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions (2017)Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark (2021)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)POLYNOMIAL-CHAOS-BASED KRIGING (2015)Finite elements for elliptic problems with stochastic coefficients (2004)Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs (2010)Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients (2011)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Global sensitivity analysis using polynomial chaos expansions (2007)Reliability-based design optimization using kriging surrogates and subset simulation (2011)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes (2004)Stochastic spectral methods for efficient Bayesian solution of inverse problems (2006)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)Surrogate modeling for fast uncertainty quantification: Application to 2D population balance models (2020)Uncertainty Quantification of Stochastic Impact Dynamic Oscillator Using a Proper Orthogonal Decomposition-Polynomial Chaos Expansion Technique (2020)Multivariate sensitivity-adaptive polynomial chaos expansion for high-dimensional surrogate modeling and uncertainty quantification (2024)Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients (2011)Stochastic finite element methods for partial differential equations with random input data (2014)Chaospy: An open source tool for designing methods of uncertainty quantification (2015)Prediction Error of the Multivariate Chain Ladder Reserving Method (2008)Financial equilibrium with asymmetric information and random horizon (2016)A surrogate model for efficient quantification of uncertainties in multilayer shallow water flows (2021)Non-intrusive polynomial chaos methods for uncertainty quantification in wave problems at high frequencies (2021)Global sensitivity analysis for phosphate slurry flow in pipelines using generalized polynomial chaos (2023)
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References

  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
  • 2010Numerical Methods for Stochastic Computations: A Spectral Method Approach1,107 cited
  • 2009An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis834 cited
  • 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
  • 2002A Stochastic Projection Method for Fluid Flow503 cited
  • 2006Stochastic finite element: a non intrusive approach by regression427 cited
  • 2006Karhunen–Loève approximation of random fields by generalized fast multipole methods355 cited
  • 1996Diffusions, Markov Processes and Martingales: Vol. 1, Foundations.40 cited
  • 2014Sparse polynomial chaos expansions of vector-valued response quantities31 cited
  • 2017Polynomial Surrogates for Open-Channel Flows in Random Steady State17 cited
  • 2020Uncertainty propagation of dam break flow using the stochastic non-intrusive B-splines Bézier elements-based method14 cited
  • 2019Error Estimation of Polynomial Chaos Approximations in Transient Structural Dynamics8 cited

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