Motoyama, Yuichi; Okubo, Tsuyoshi; Yoshimi, Kazuyoshi; Morita, Satoshi; Kato, Takeo; Kawashima, Naoki TeNeS: tensor network solver for quantum lattice systems. (English) Zbl 07679968 Comput. Phys. Commun. 279, Article ID 108437, 10 p. (2022). MSC: 82-XX 81-XX PDFBibTeX XMLCite \textit{Y. Motoyama} et al., Comput. Phys. Commun. 279, Article ID 108437, 10 p. (2022; Zbl 07679968) Full Text: DOI arXiv
Tsachouridis, Vassilios A.; Giantamidis, Georgios; Basagiannis, Stylianos; Kouramas, Kostas Formal analysis of the Schulz matrix inversion algorithm: a paradigm towards computer aided verification of general matrix flow solvers. (English) Zbl 1458.65035 Numer. Algebra Control Optim. 10, No. 2, 177-206 (2020). MSC: 65F10 15A09 68Q60 PDFBibTeX XMLCite \textit{V. A. Tsachouridis} et al., Numer. Algebra Control Optim. 10, No. 2, 177--206 (2020; Zbl 1458.65035) Full Text: DOI
Cao, Thanh-Xuan H.; Ly, Duy-Nhat; Hoang, Ngoc-Tram D.; Le, Van-Hoang High-accuracy numerical calculations of the bound states of a hydrogen atom in a constant magnetic field with arbitrary strength. (English) Zbl 07674768 Comput. Phys. Commun. 240, 138-151 (2019). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{T.-X. H. Cao} et al., Comput. Phys. Commun. 240, 138--151 (2019; Zbl 07674768) Full Text: DOI
Pommerenke, Hermann W.; Heller, Johann D.; Zadeh, Shahnam Gorgi; van Rienen, Ursula Computation of lossy higher order modes in complex SRF cavities using beyn’s and Newton’s methods on reduced order models. (English) Zbl 1461.78009 Int. J. Mod. Phys. A 34, No. 36, Article ID 1942037, 20 p. (2019). MSC: 78M34 65F15 PDFBibTeX XMLCite \textit{H. W. Pommerenke} et al., Int. J. Mod. Phys. A 34, No. 36, Article ID 1942037, 20 p. (2019; Zbl 1461.78009) Full Text: DOI
Bosner, Nela; Bujanović, Zvonimir; Drmač, Zlatko Parallel solver for shifted systems in a hybrid CPU-GPU framework. (English) Zbl 1395.65006 SIAM J. Sci. Comput. 40, No. 4, C605-C633 (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65F05 65Y05 93A15 93B40 93C05 93C80 PDFBibTeX XMLCite \textit{N. Bosner} et al., SIAM J. Sci. Comput. 40, No. 4, C605--C633 (2018; Zbl 1395.65006) Full Text: DOI arXiv
Cui, Yiran; del Baño Rollin, Sebastian; Germano, Guido Full and fast calibration of the Heston stochastic volatility model. (English) Zbl 1380.91106 Eur. J. Oper. Res. 263, No. 2, 625-638 (2017). MSC: 91B70 60K30 62P05 90C15 PDFBibTeX XMLCite \textit{Y. Cui} et al., Eur. J. Oper. Res. 263, No. 2, 625--638 (2017; Zbl 1380.91106) Full Text: DOI arXiv Link
Drmač, Zlatko; Gugercin, Serkan A new selection operator for the discrete empirical interpolation method – improved a priori error bound and extensions. (English) Zbl 1382.65193 SIAM J. Sci. Comput. 38, No. 2, A631-A648 (2016). MSC: 65L05 15A12 15A23 93B11 93B40 PDFBibTeX XMLCite \textit{Z. Drmač} and \textit{S. Gugercin}, SIAM J. Sci. Comput. 38, No. 2, A631--A648 (2016; Zbl 1382.65193) Full Text: DOI arXiv
White, Robert E. Computational mathematics. Models, methods, and analysis with MATLAB and MPI. 2nd edition. (English) Zbl 1336.65002 Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-3515-9/hbk; 978-1-4822-3517-3/ebook). xxii, 476 p. (2016). Reviewer: Liu Xinguo (Qingdao) MSC: 65-01 65Fxx 65Y05 65Y15 35K05 35J05 35L05 65M06 65N06 76M20 65D18 94A08 91G60 68W30 92D30 76B15 PDFBibTeX XMLCite \textit{R. E. White}, Computational mathematics. Models, methods, and analysis with MATLAB and MPI. 2nd edition. Boca Raton, FL: CRC Press (2016; Zbl 1336.65002)
Kibey, Aniruddha; Sonone, Rupali; Dey, Bishwajyoti; Eilbeck, J. Chris Quantization of \(\beta\)-Fermi-Pasta-Ulam lattice with nearest and next-nearest neighbor interactions. (English) Zbl 1364.81118 Physica D 294, 43-53 (2015). MSC: 81Q10 PDFBibTeX XMLCite \textit{A. Kibey} et al., Physica D 294, 43--53 (2015; Zbl 1364.81118) Full Text: DOI arXiv
Drmač, Z.; Gugercin, S.; Beattie, C. Vector fitting for matrix-valued rational approximation. (English) Zbl 1323.93050 SIAM J. Sci. Comput. 37, No. 5, A2346-A2379 (2015). MSC: 93C80 41A05 49K15 49M05 93A15 93C05 93C15 PDFBibTeX XMLCite \textit{Z. Drmač} et al., SIAM J. Sci. Comput. 37, No. 5, A2346--A2379 (2015; Zbl 1323.93050) Full Text: DOI arXiv
Demmel, James; Dumitriu, Ioana; Holtz, Olga; Koev, Plamen Accurate and efficient expression evaluation and linear algebra. (English) Zbl 1169.65022 Acta Numerica 17, 87-145 (2008). Reviewer: Kai Diethelm (Braunschweig) MSC: 65D20 65G50 65F30 65D15 65Y20 65F05 65F15 12Y05 65-02 PDFBibTeX XMLCite \textit{J. Demmel} et al., Acta Numerica 17, 87--145 (2008; Zbl 1169.65022) Full Text: DOI arXiv
Alvarez, Gonzalo; Nukala, Phani K. V. V.; D’Azevedo, Eduardo Fast diagonalization of evolving matrices: application to spin-fermion models. (English) Zbl 1456.82483 J. Stat. Mech. Theory Exp. 2007, No. 8, Paper No. P08007, 14 p. (2007). MSC: 82B44 82B26 PDFBibTeX XMLCite \textit{G. Alvarez} et al., J. Stat. Mech. Theory Exp. 2007, No. 8, Paper No. P08007, 14 p. (2007; Zbl 1456.82483) Full Text: DOI
Chandrasekaran, S.; Dewilde, P.; Gu, M.; Pals, T.; Sun, X.; van der Veen, A.-J.; White, D. Some fast algorithms for sequentially semiseparable representations. (English) Zbl 1091.65063 SIAM J. Matrix Anal. Appl. 27, No. 2, 341-364 (2005). MSC: 65K10 93B11 93B40 93C05 PDFBibTeX XMLCite \textit{S. Chandrasekaran} et al., SIAM J. Matrix Anal. Appl. 27, No. 2, 341--364 (2005; Zbl 1091.65063) Full Text: DOI
Benner, Peter; Quintana-Ortí, Enrique S. Model reduction based on spectral projection methods. (English) Zbl 1106.93015 Benner, Peter (ed.) et al., Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19–25, 2003. Berlin: Springer (ISBN 3-540-24545-6/pbk). Lecture Notes in Computational Science and Engineering 45, 5-48 (2005). Reviewer: Mihail Voicu (Iaşi) MSC: 93B11 93B40 65L99 PDFBibTeX XMLCite \textit{P. Benner} and \textit{E. S. Quintana-Ortí}, Lect. Notes Comput. Sci. Eng. 45, 5--48 (2005; Zbl 1106.93015)
White, Robert E. Computational mathematics. Models, methods, and analysis with MATLAB and MPI. (English) Zbl 1042.65001 Boca Raton, FL: Chapman and Hall/CRC (ISBN 1-58488-364-2/hbk; 978-0-203-49447-9/ebook). xvi, 385 p. (2004). Reviewer: Liu Xinguo (Qingdao) MSC: 65-01 65Y15 65Fxx 65N06 35K05 35J05 65Y05 65M06 76M20 92D30 94A08 91G60 68W30 PDFBibTeX XMLCite \textit{R. E. White}, Computational mathematics. Models, methods, and analysis with MATLAB and MPI. Boca Raton, FL: Chapman and Hall/CRC (2004; Zbl 1042.65001) Full Text: Link
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio Efficient numerical algorithms for balanced stochastic truncation. (English) Zbl 1008.93014 Int. J. Appl. Math. Comput. Sci. 11, No. 5, 1123-1150 (2001). Reviewer: Adhemar Bultheel (Leuven) MSC: 93B11 93B40 93B20 93A15 65Y05 PDFBibTeX XMLCite \textit{P. Benner} et al., Int. J. Appl. Math. Comput. Sci. 11, No. 5, 1123--1150 (2001; Zbl 1008.93014) Full Text: EuDML
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio Balanced truncation model reduction of large-scale dense systems on parallel computers. (English) Zbl 0978.93013 Math. Comput. Model. Dyn. Syst. 6, No. 4, 383-405 (2000). Reviewer: Lubomír Bakule (Barcelona) MSC: 93B11 93B40 93A15 65Y05 PDFBibTeX XMLCite \textit{P. Benner} et al., Math. Comput. Model. Dyn. Syst. 6, No. 4, 383--405 (2000; Zbl 0978.93013) Full Text: DOI Link
Ueberhuber, Christoph W. Numerical computation. Methods, software, and analysis. In 2 vol. (English) Zbl 0866.65001 Berlin: Springer; 3-540-62057-5 (vol. 2)). 474, 496 p. (1997). Reviewer: D.Petcu (Timişoara) MSC: 65-01 68W30 65Cxx 65Yxx 65Fxx 65H05 65Txx 65Dxx 68M07 68N01 PDFBibTeX XMLCite \textit{C. W. Ueberhuber}, Numerical computation. Methods, software, and analysis. In 2 vol. Berlin: Springer (1997; Zbl 0866.65001)