Concepedia

A new sparse grid based method for uncertainty propagation

Fenfen Xiong, Steven L. Greene, Wei Chen, Ying Xiong, Shuxing Yang

Structural and Multidisciplinary Optimization · 2009 · 121 citations · 33 references

DOI

Concepts

References

33

Remarks on a Multivariate Transformation

Murray Rosenblatt · The Annals of Mathematical Statistics · 1952 · 2.9K citations · Full text

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High-Order Collocation Methods for Differential Equations with Random Inputs

Dongbin Xiu, Jan S. Hesthaven · SIAM Journal on Scientific Computing · 2005 · 1.5K citations · Full text

, , +15

Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design

Xiaoping Du, Wei Chen · Journal of Mechanical Design · 2004 · 1.1K citations

, , +7

Numerical integration using sparse grids

Thomas Gerstner, Michael Griebel · Numerical Algorithms · 1998 · 916 citations

, , +13

Reliability analysis—a review and some perspectives

R. Rackwitz · Structural Safety · 2001 · 770 citations

, , +12