Haji-Ali, A.-L.; Harbrecht, H.; Peters, M. D.; Siebenmorgen, M. Novel results for the anisotropic sparse grid quadrature. (English) Zbl 1458.65021 J. Complexity 47, 62-85 (2018). MSC: 65D30 41A55 65Y20 65D40 PDFBibTeX XMLCite \textit{A. L. Haji-Ali} et al., J. Complexity 47, 62--85 (2018; Zbl 1458.65021) Full Text: DOI arXiv
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus On the quasi-Monte Carlo method with halton points for elliptic PDEs with log-normal diffusion. (English) Zbl 1355.65010 Math. Comput. 86, No. 304, 771-797 (2017). MSC: 65C30 60H15 60H35 35R60 PDFBibTeX XMLCite \textit{H. Harbrecht} et al., Math. Comput. 86, No. 304, 771--797 (2017; Zbl 1355.65010) Full Text: DOI Link
Harbrecht, H.; Peters, M.; Siebenmorgen, M. Analysis of the domain mapping method for elliptic diffusion problems on random domains. (English) Zbl 1479.35969 Numer. Math. 134, No. 4, 823-856 (2016). MSC: 35R60 35J25 60H35 65C30 65M60 PDFBibTeX XMLCite \textit{H. Harbrecht} et al., Numer. Math. 134, No. 4, 823--856 (2016; Zbl 1479.35969) Full Text: DOI Link
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus Multilevel accelerated quadrature for PDEs with log-normally distributed diffusion coefficient. (English) Zbl 1343.65006 SIAM/ASA J. Uncertain. Quantif. 4, 520-551 (2016). MSC: 65C30 60H15 60H35 35R60 65C05 65M60 PDFBibTeX XMLCite \textit{H. Harbrecht} et al., SIAM/ASA J. Uncertain. Quantif. 4, 520--551 (2016; Zbl 1343.65006) Full Text: DOI Link
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus Efficient approximation of random fields for numerical applications. (English) Zbl 1349.65048 Numer. Linear Algebra Appl. 22, No. 4, 596-617 (2015). Reviewer: Alan L. Andrew (Bundoora) MSC: 65C50 65F15 60G60 65N75 15A23 PDFBibTeX XMLCite \textit{H. Harbrecht} et al., Numer. Linear Algebra Appl. 22, No. 4, 596--617 (2015; Zbl 1349.65048) Full Text: DOI Link
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus Combination technique based \(k\)-th moment analysis of elliptic problems with random diffusion. (English) Zbl 1349.35441 J. Comput. Phys. 252, 128-141 (2013). MSC: 35R60 35J25 PDFBibTeX XMLCite \textit{H. Harbrecht} et al., J. Comput. Phys. 252, 128--141 (2013; Zbl 1349.35441) Full Text: DOI