Hackbusch, Wolfgang; Schneider, Reinhold Tensor spaces and hierarchical tensor representations. (English) Zbl 1317.65102 Dahlke, Stephan (ed.) et al., Extraction of quantifiable information from complex systems. Cham: Springer (ISBN 978-3-319-08158-8/hbk; 978-3-319-08159-5/ebook). Lecture Notes in Computational Science and Engineering 102, 237-261 (2014). MSC: 65F20 15A69 65K05 PDFBibTeX XMLCite \textit{W. Hackbusch} and \textit{R. Schneider}, Lect. Notes Comput. Sci. Eng. 102, 237--261 (2014; Zbl 1317.65102) Full Text: DOI
Dahlke, Stephan (ed.); Dahmen, Wolfgang (ed.); Griebel, Michael (ed.); Hackbusch, Wolfgang (ed.); Ritter, Klaus (ed.); Schneider, Reinhold (ed.); Schwab, Christoph (ed.); Yserentant, Harry (ed.) Extraction of quantifiable information from complex systems. (English) Zbl 1301.93005 Lecture Notes in Computational Science and Engineering 102. Cham: Springer (ISBN 978-3-319-08158-8/hbk; 978-3-319-08159-5/ebook). xix, 432 p. (2014). MSC: 93-06 93E03 93E11 65J99 60H30 60H35 00B15 PDFBibTeX XMLCite \textit{S. Dahlke} (ed.) et al., Extraction of quantifiable information from complex systems. Cham: Springer (2014; Zbl 1301.93005) Full Text: DOI
Espig, Mike; Hackbusch, Wolfgang; Rohwedder, Thorsten; Schneider, Reinhold Variational calculus with sums of elementary tensors of fixed rank. (English) Zbl 1259.65090 Numer. Math. 122, No. 3, 469-488 (2012). MSC: 65K05 90C06 15A69 65F15 65F20 PDFBibTeX XMLCite \textit{M. Espig} et al., Numer. Math. 122, No. 3, 469--488 (2012; Zbl 1259.65090) Full Text: DOI
Espig, Mike; Hackbusch, Wolfgang; Handschuh, Stefan; Schneider, Reinhold Optimization problems in contracted tensor networks. (English) Zbl 1380.49059 Comput. Vis. Sci. 14, No. 6, 271-285 (2011). MSC: 49N99 15A72 05C90 PDFBibTeX XMLCite \textit{M. Espig} et al., Comput. Vis. Sci. 14, No. 6, 271--285 (2011; Zbl 1380.49059) Full Text: DOI
Flad, Heinz-Jürgen; Hackbusch, Wolfgang; Khoromskij, Boris N.; Schneider, Reinhold Concepts of data-sparse tensor-product approximation in many-particle modelling. (English) Zbl 1214.81077 Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 313-347 (2010). MSC: 81Q05 81V70 42C40 81V55 65T60 PDFBibTeX XMLCite \textit{H.-J. Flad} et al., in: Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23--27, 2007. Hackensack, NJ: World Scientific. 313--347 (2010; Zbl 1214.81077)
Flad, Heinz-Jürgen; Hackbusch, Wolfgang; Schneider, Reinhold Best \(N\)-term approximation in electronic structure calculations. II: Jastrow factors. (English) Zbl 1135.81029 ESAIM, Math. Model. Numer. Anal. 41, No. 2, 261-279 (2007). MSC: 81V70 41A50 41A63 65Z05 PDFBibTeX XMLCite \textit{H.-J. Flad} et al., ESAIM, Math. Model. Numer. Anal. 41, No. 2, 261--279 (2007; Zbl 1135.81029) Full Text: DOI Numdam EuDML
Flad, Heinz-Jürgen; Hackbusch, Wolfgang; Schneider, Reinhold Best \(N\)-term approximation in electronic structure calculations. I: One-electron reduced density matrix. (English) Zbl 1100.81050 ESAIM, Math. Model. Numer. Anal. 40, No. 1, 49-61 (2006). Reviewer: Dietrich Braess (Bochum) MSC: 81V70 65Z05 41A63 PDFBibTeX XMLCite \textit{H.-J. Flad} et al., ESAIM, Math. Model. Numer. Anal. 40, No. 1, 49--61 (2006; Zbl 1100.81050) Full Text: DOI Numdam EuDML