Alger, Nick; Chen, Peng; Ghattas, Omar Tensor train construction from tensor actions, with application to compression of large high order derivative tensors. (English) Zbl 1465.35370 SIAM J. Sci. Comput. 42, No. 5, A3516-A3539 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q62 62C10 15A69 65F99 65C20 35R60 68W20 PDFBibTeX XMLCite \textit{N. Alger} et al., SIAM J. Sci. Comput. 42, No. 5, A3516--A3539 (2020; Zbl 1465.35370) Full Text: DOI arXiv
Eigel, Martin; Marschall, Manuel; Multerer, Michael An adaptive stochastic Galerkin tensor train discretization for randomly perturbed domains. (English) Zbl 1447.65137 SIAM/ASA J. Uncertain. Quantif. 8, 1189-1214 (2020). MSC: 65N30 65N12 35R60 47B80 60H35 65C20 65N22 65J10 PDFBibTeX XMLCite \textit{M. Eigel} et al., SIAM/ASA J. Uncertain. Quantif. 8, 1189--1214 (2020; Zbl 1447.65137) Full Text: DOI arXiv
Eigel, Martin; Marschall, Manuel; Pfeffer, Max; Schneider, Reinhold Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations. (English) Zbl 1439.65160 Numer. Math. 145, No. 3, 655-692 (2020). MSC: 65N30 60H35 65C20 35R60 47B80 65C30 65N12 65N22 65J10 PDFBibTeX XMLCite \textit{M. Eigel} et al., Numer. Math. 145, No. 3, 655--692 (2020; Zbl 1439.65160) Full Text: DOI arXiv
Kramer, Boris; Marques, Alexandre Noll; Peherstorfer, Benjamin; Villa, Umberto; Willcox, Karen Multifidelity probability estimation via fusion of estimators. (English) Zbl 1453.62513 J. Comput. Phys. 392, 385-402 (2019). MSC: 62H12 65C20 65N06 76F55 PDFBibTeX XMLCite \textit{B. Kramer} et al., J. Comput. Phys. 392, 385--402 (2019; Zbl 1453.62513) Full Text: DOI arXiv
Mattis, Steven A.; Wohlmuth, Barbara Goal-oriented adaptive surrogate construction for stochastic inversion. (English) Zbl 1441.65006 Comput. Methods Appl. Mech. Eng. 339, 36-60 (2018). MSC: 65C20 62F15 62K20 PDFBibTeX XMLCite \textit{S. A. Mattis} and \textit{B. Wohlmuth}, Comput. Methods Appl. Mech. Eng. 339, 36--60 (2018; Zbl 1441.65006) Full Text: DOI arXiv
Peng, Ji; Hampton, Jerrad; Doostan, Alireza A weighted \(\ell_1\)-minimization approach for sparse polynomial chaos expansions. (English) Zbl 1349.65198 J. Comput. Phys. 267, 92-111 (2014). MSC: 65K10 65C20 90C25 94A12 94A20 PDFBibTeX XMLCite \textit{J. Peng} et al., J. Comput. Phys. 267, 92--111 (2014; Zbl 1349.65198) Full Text: DOI arXiv