SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
Partitioned treatment of uncertainty in coupled domain problems: A separated representation approach
16 references·6 citing·21 second hop
Partitioned treatment of uncertainty in coupled domain problems: A separated representation approach (2014)Partitioned treatment of uncertainty in c…A non-adapted sparse approximation of PDEs with stochastic inputs (2011)A non-adapted sparse approxim…Spectral methods for uncertainty quantification : with applications to computational fluid dynamics (2010)Spectral methods for uncertai…Numerical Methods for Stochastic Computations: A Spectral Method Approach (2010)Numerical Methods for Stochas…Sparse Tensor Discretization of Elliptic sPDEs (2009)Sparse Tensor Discretization …Multi-element probabilistic collocation method in high dimensions (2009)Multi-element probabilistic c…Fast Numerical Methods for Stochastic Computations: A Review (2009)Fast Numerical Methods for St…An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)An adaptive hierarchical spar…A least-squares approximation of partial differential equations with high-dimensional random inputs (2009)A least-squares approximation…Sparse high order FEM for elliptic sPDEs (2008)Sparse high order FEM for ell…Stochastic model reduction for chaos representations (2007)Stochastic model reduction fo…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…High-Order Collocation Methods for Differential Equations with Random Inputs (2005)High-Order Collocation Method…Uncertainty propagation using Wiener–Haar expansions (2004)Uncertainty propagation using…A Stochastic Collocation Algorithm for Uncertainty Analysis (2003)A Stochastic Collocation Algo…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…On spectral fuzzy–stochastic FEM for problems involving polymorphic geometrical uncertainties (2019)On spectral fuzzy–stochastic …Two reduction methods for stochastic FEM based homogenization using global basis functions (2018)Two reduction methods for sto…Fuzzy‐stochastic FEM–based homogenization framework for materials with polymorphic uncertainties in the microstructure (2018)Fuzzy‐stochastic FEM–based ho…Addressing the curse of dimensionality in SSFEM using the dependence of eigenvalues in KL expansion on domain size (2016)Addressing the curse of dimen…Modified SFEM for computational homogenization of heterogeneous materials with microstructural geometric uncertainties (2015)Modified SFEM for computation…A Domain Decomposition Approach for Uncertainty Analysis (2015)A Domain Decomposition Approa…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Efficient Collocational Approach for Parametric Uncertainty Analysis (2007)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)Stochastic Differential Equations: An Introduction with Applications. (1987)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)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)Simulation-based optimal Bayesian experimental design for nonlinear systems (2012)Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies (2014)A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization (2018)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry (2015)POLYNOMIAL-CHAOS-BASED KRIGING (2015)Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark (2021)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)
this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2010Numerical Methods for Stochastic Computations: A Spectral Method Approach1,107 cited
  • 2009Fast Numerical Methods for Stochastic Computations: A Review608 cited
  • 2010Spectral methods for uncertainty quantification : with applications to computational fluid dynamics572 cited
  • 2009An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations447 cited
  • 2004Uncertainty propagation using Wiener–Haar expansions438 cited
  • 2011A non-adapted sparse approximation of PDEs with stochastic inputs436 cited
  • 2009Multi-element probabilistic collocation method in high dimensions203 cited
  • 2007Stochastic model reduction for chaos representations191 cited
  • 2003A Stochastic Collocation Algorithm for Uncertainty Analysis148 cited
  • 2009A least-squares approximation of partial differential equations with high-dimensional random inputs138 cited

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

  • 2008Sparse high order FEM for elliptic sPDEs137 cited
  • 2009Sparse Tensor Discretization of Elliptic sPDEs107 cited
  • Cited by

    • 2015Modified SFEM for computational homogenization of heterogeneous materials with microstructural geometric uncertainties27 cited
    • 2015A Domain Decomposition Approach for Uncertainty Analysis26 cited
    • 2018Fuzzy‐stochastic FEM–based homogenization framework for materials with polymorphic uncertainties in the microstructure16 cited
    • 2016Addressing the curse of dimensionality in SSFEM using the dependence of eigenvalues in KL expansion on domain size15 cited
    • 2018Two reduction methods for stochastic FEM based homogenization using global basis functions15 cited
    • 2019On spectral fuzzy–stochastic FEM for problems involving polymorphic geometrical uncertainties15 cited