Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated

Computational Aspects of Stochastic Collocation with Multifidelity Models

15 references·12 citing·23 second hop

FromToDepth

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
2008A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data942 cited
2009An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations447 cited
2011A non-adapted sparse approximation of PDEs with stochastic inputs436 cited
2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
2009Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design371 cited
2008The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications214 cited
2012Multifidelity Uncertainty Quantification Using Non-Intrusive Polynomial Chaos and Stochastic Collocation162 cited
2008Sparse high order FEM for elliptic sPDEs137 cited
2014A Stochastic Collocation Algorithm with Multifidelity Models122 cited
2009A domain adaptive stochastic collocation approach for analysis of MEMS under uncertainties

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

88 cited

2012Stochastic Collocation Methods on Unstructured Grids in High Dimensions via Interpolation73 cited

Cited by

2017A low-rank control variate for multilevel Monte Carlo simulation of high-dimensional uncertain systems51 cited
2019Multifidelity Monte Carlo Estimation with Adaptive Low-Fidelity Models47 cited
2017Multi-fidelity stochastic collocation method for computation of statistical moments39 cited
2015Nonhierarchical multi‐model fusion using spatial random processes32 cited
2019Bi-fidelity approximation for uncertainty quantification and sensitivity analysis of irradiated particle-laden turbulence31 cited
2019Multi-fidelity uncertainty propagation using polynomial chaos and Gaussian process modeling27 cited
2015Multifidelity Uncertainty Quantification Using Spectral Stochastic Discrepancy Models15 cited
2022Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties14 cited
2021A multi-fidelity polynomial chaos-greedy Kaczmarz approach for resource-efficient uncertainty quantification on limited budget12 cited
2022A bi-fidelity stochastic collocation method for transport equations with diffusive scaling and multi-dimensional random inputs11 cited
2019Uncertainty quantification of discontinuous outputs via a non-intrusive bifidelity strategy10 cited
2017Multifidelity Uncertainty Quantification Using Spectral Stochastic Discrepancy Models10 cited