Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

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

Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations

16 references·16 citing·30 second hopsampled

FromToDepth

this work references cited by second hop· second hop is a sample of the most-cited connections

References

1991Stochastic Finite Elements: A Spectral Approach5,753 cited
2016Numerical solution of stochastic differential equations5,001 cited
2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
1987Stochastic Differential Equations: An Introduction with Applications.3,963 cited
2017Structural Reliability Analysis and Prediction3,780 cited
2003Stochastic Differential Equations2,978 cited
2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
2006An introduction to stochastic partial differential equations2,216 cited
1996Structural Reliability Methods2,192 cited
1997Response Surfaces: Designs and Analyses1,520 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
2004Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations869 cited
1998Stochastic Differential Equations714 cited
1980The stochastic finite-element method641 cited

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

2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited

Cited by

2011Stochastic modeling of uncertainties in computational structural dynamics—Recent theoretical advances161 cited
2014Practical Application of the Stochastic Finite Element Method144 cited
2012Stochastic Models of Uncertainties in Computational Mechanics112 cited
2014Polynomial Chaos Expansion and Steady-State Response of a Class of Random Dynamical Systems68 cited
2011Doubly Spectral Stochastic Finite-Element Method for Linear Structural Dynamics55 cited
2010eXtended Stochastic Finite Element Method for the numerical simulation of heterogeneous materials with random material interfaces55 cited
2012A multiscale method with patch for the solution of stochastic partial differential equations with localized uncertainties51 cited
2010Comput. Methods Appl. Mech. Engrg.51 cited
2016Interval and random analysis for structure–acoustic systems with large uncertain-but-bounded parameters47 cited
2011A reduced spectral function approach for the stochastic finite element analysis44 cited
2014Random field representations for stochastic elliptic boundary value problems and statistical inverse problems36 cited
2021Uncertainty quantification of spatially uncorrelated loads with a reduced-order stochastic isogeometric method36 cited
2018Hybrid interval and random analysis for structural-acoustic systems including periodical composites and multi-scale bounded hybrid uncertain parameters31 cited
2015Stochastic finite element approaches for wood-based products: theoretical framework and review of methods31 cited
2021Structural stochastic responses determination via a sample-based stochastic finite element method30 cited
2022Spectral stochastic isogeometric analysis of bending and free vibration of porous functionally graded plates29 cited