Salehi, Saeed; Raisee, Mehrdad; Cervantes, Michel J.; Nourbakhsh, Ahmad Efficient uncertainty quantification of stochastic CFD problems using sparse polynomial chaos and compressed sensing. (English) Zbl 1390.76801 Comput. Fluids 154, 296-321 (2017). MSC: 76M35 35R60 60H35 62H12 PDFBibTeX XMLCite \textit{S. Salehi} et al., Comput. Fluids 154, 296--321 (2017; Zbl 1390.76801) Full Text: DOI
Zheng, Mengdi; Wan, Xiaoliang; Karniadakis, George Em Adaptive multi-element polynomial chaos with discrete measure: algorithms and application to SPDEs. (English) Zbl 1326.65140 Appl. Numer. Math. 90, 91-110 (2015). MSC: 65M75 35R60 60H35 65C30 35Q53 PDFBibTeX XMLCite \textit{M. Zheng} et al., Appl. Numer. Math. 90, 91--110 (2015; Zbl 1326.65140) Full Text: DOI
Zhang, Zhongqiang; Choi, Minseok; Karniadakis, George Em Anchor points matter in ANOVA decomposition. (English) Zbl 1217.65039 Hesthaven, Jan S. (ed.) et al., Spectral and high order methods for partial differential equations. Selected papers from the 8th ICOSAHOM ’09 conference, Trondheim, Norway, June 22–26, 2009. Berlin: Springer (ISBN 978-3-642-15336-5/hbk; 978-3-642-15337-2/ebook). Lecture Notes in Computational Science and Engineering 76, 347-355 (2011). MSC: 65D15 65C30 60H15 60H35 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Lect. Notes Comput. Sci. Eng. 76, 347--355 (2011; Zbl 1217.65039) Full Text: DOI
Ma, Xiang; Zabaras, Nicholas An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations. (English) Zbl 1189.65019 J. Comput. Phys. 229, No. 10, 3884-3915 (2010). MSC: 65C30 60H15 60H35 35R60 65N35 PDFBibTeX XMLCite \textit{X. Ma} and \textit{N. Zabaras}, J. Comput. Phys. 229, No. 10, 3884--3915 (2010; Zbl 1189.65019) Full Text: DOI
Foo, Jasmine; Karniadakis, George Em Multi-element probabilistic collocation method in high dimensions. (English) Zbl 1181.65014 J. Comput. Phys. 229, No. 5, 1536-1557 (2010). MSC: 65C30 PDFBibTeX XMLCite \textit{J. Foo} and \textit{G. E. Karniadakis}, J. Comput. Phys. 229, No. 5, 1536--1557 (2010; Zbl 1181.65014) Full Text: DOI
Foo, Jasmine; Wan, Xiaoliang; Karniadakis, George Em The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications. (English) Zbl 1153.65008 J. Comput. Phys. 227, No. 22, 9572-9595 (2008). MSC: 65C30 60H15 60H35 35R60 65N35 65N12 65N15 65C05 PDFBibTeX XMLCite \textit{J. Foo} et al., J. Comput. Phys. 227, No. 22, 9572--9595 (2008; Zbl 1153.65008) Full Text: DOI