Hairer, Ernst; Lubich, Christian; Shi, Yanyan Leapfrog methods for relativistic charged-particle dynamics. (English) Zbl 07778892 SIAM J. Numer. Anal. 61, No. 6, 2844-2858 (2023). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65L05 65P10 78A35 PDFBibTeX XMLCite \textit{E. Hairer} et al., SIAM J. Numer. Anal. 61, No. 6, 2844--2858 (2023; Zbl 07778892) Full Text: DOI arXiv
Guglielmi, Nicola; Lubich, Christian; Sicilia, Stefano Rank-1 matrix differential equations for structured eigenvalue optimization. (English) Zbl 1520.65044 SIAM J. Numer. Anal. 61, No. 4, 1737-1762 (2023). MSC: 65K10 15A18 65F15 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., SIAM J. Numer. Anal. 61, No. 4, 1737--1762 (2023; Zbl 1520.65044) Full Text: DOI arXiv
Ceruti, Gianluca; Lubich, Christian; Sulz, Dominik Rank-adaptive time integration of tree tensor networks. (English) Zbl 1511.65064 SIAM J. Numer. Anal. 61, No. 1, 194-222 (2023). MSC: 65L05 65L20 65L70 81Q05 PDFBibTeX XMLCite \textit{G. Ceruti} et al., SIAM J. Numer. Anal. 61, No. 1, 194--222 (2023; Zbl 1511.65064) Full Text: DOI arXiv
Ceruti, Gianluca; Lubich, Christian; Walach, Hanna Time integration of tree tensor networks. (English) Zbl 1461.65203 SIAM J. Numer. Anal. 59, No. 1, 289-313 (2021). MSC: 65L05 65L20 65L70 15A69 PDFBibTeX XMLCite \textit{G. Ceruti} et al., SIAM J. Numer. Anal. 59, No. 1, 289--313 (2021; Zbl 1461.65203) Full Text: DOI arXiv
Lubich, Christian; Vandereycken, Bart; Walach, Hanna Time integration of rank-constrained Tucker tensors. (English) Zbl 1407.37113 SIAM J. Numer. Anal. 56, No. 3, 1273-1290 (2018). Reviewer: Vasile Marinca (Timişoara) MSC: 37M15 15A03 15A18 15A69 65L05 65L20 65L70 PDFBibTeX XMLCite \textit{C. Lubich} et al., SIAM J. Numer. Anal. 56, No. 3, 1273--1290 (2018; Zbl 1407.37113) Full Text: DOI arXiv
Guglielmi, Nicola; Lubich, Christian Matrix stabilization using differential equations. (English) Zbl 1379.65037 SIAM J. Numer. Anal. 55, No. 6, 3097-3119 (2017). MSC: 65K05 90C26 15A18 93D15 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{C. Lubich}, SIAM J. Numer. Anal. 55, No. 6, 3097--3119 (2017; Zbl 1379.65037) Full Text: DOI
Kovács, Balázs; Li, Buyang; Lubich, Christian A-stable time discretizations preserve maximal parabolic regularity. (English) Zbl 1355.65122 SIAM J. Numer. Anal. 54, No. 6, 3600-3624 (2016). MSC: 65M20 35K55 65L06 65M12 65M06 PDFBibTeX XMLCite \textit{B. Kovács} et al., SIAM J. Numer. Anal. 54, No. 6, 3600--3624 (2016; Zbl 1355.65122) Full Text: DOI arXiv
Kieri, Emil; Lubich, Christian; Walach, Hanna Discretized dynamical low-rank approximation in the presence of small singular values. (English) Zbl 1336.65119 SIAM J. Numer. Anal. 54, No. 2, 1020-1038 (2016). MSC: 65L05 65L70 34A30 PDFBibTeX XMLCite \textit{E. Kieri} et al., SIAM J. Numer. Anal. 54, No. 2, 1020--1038 (2016; Zbl 1336.65119) Full Text: DOI
Lubich, Christian; Oseledets, Ivan V.; Vandereycken, Bart Time integration of tensor trains. (English) Zbl 1312.65114 SIAM J. Numer. Anal. 53, No. 2, 917-941 (2015). MSC: 65L05 15A18 15A69 65F99 PDFBibTeX XMLCite \textit{C. Lubich} et al., SIAM J. Numer. Anal. 53, No. 2, 917--941 (2015; Zbl 1312.65114) Full Text: DOI arXiv
Guglielmi, Nicola; Lubich, Christian Erratum/addendum: Differential equations for roaming pseudospectra: paths to extremal points and boundary tracking. (English) Zbl 1257.15007 SIAM J. Numer. Anal. 50, No. 2, 977-981 (2012). MSC: 15A18 65F15 37C10 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{C. Lubich}, SIAM J. Numer. Anal. 50, No. 2, 977--981 (2012; Zbl 1257.15007) Full Text: DOI
Guglielmi, Nicola; Lubich, Christian Differential equations for roaming pseudospectra: paths to extremal points and boundary tracking. (English) Zbl 1232.15009 SIAM J. Numer. Anal. 49, No. 3, 1194-1209 (2011), erratum ibid. 50, No. 2, 977-981 (2012). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A18 65F15 37C10 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{C. Lubich}, SIAM J. Numer. Anal. 49, No. 3, 1194--1209 (2011; Zbl 1232.15009) Full Text: DOI Link
Hochbruck, Marlis; Lubich, Christian On Magnus integrators for time-dependent Schrödinger equations. (English) Zbl 1049.65064 SIAM J. Numer. Anal. 41, No. 3, 945-963 (2003). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L05 65L70 34L40 65L60 PDFBibTeX XMLCite \textit{M. Hochbruck} and \textit{C. Lubich}, SIAM J. Numer. Anal. 41, No. 3, 945--963 (2003; Zbl 1049.65064) Full Text: DOI
Hairer, Ernst; Lubich, Christian Long-time energy conservation of numerical methods for oscillatory differential equations. (English) Zbl 0988.65118 SIAM J. Numer. Anal. 38, No. 2, 414-441 (2000). Reviewer: J.B.Butler jun.(Portland) MSC: 65P10 65L05 65L70 34A34 34C10 37C10 37M15 PDFBibTeX XMLCite \textit{E. Hairer} and \textit{C. Lubich}, SIAM J. Numer. Anal. 38, No. 2, 414--441 (2000; Zbl 0988.65118) Full Text: DOI
Hochbruck, Marlis; Lubich, Christian On Krylov subspace approximations to the matrix exponential operator. (English) Zbl 0888.65032 SIAM J. Numer. Anal. 34, No. 5, 1911-1925 (1997). Reviewer: F.Szidarovszky (Tucson) MSC: 65F10 65F30 PDFBibTeX XMLCite \textit{M. Hochbruck} and \textit{C. Lubich}, SIAM J. Numer. Anal. 34, No. 5, 1911--1925 (1997; Zbl 0888.65032) Full Text: DOI
Lubich, Ch.; Nipp, K.; Stoffer, D. Runge-Kutta solutions of stiff differential equations near stationary points. (English) Zbl 0840.65077 SIAM J. Numer. Anal. 32, No. 4, 1296-1307 (1995). Reviewer: K.Burrage (Brisbane) MSC: 65L06 65L05 34A34 34E13 65L70 PDFBibTeX XMLCite \textit{Ch. Lubich} et al., SIAM J. Numer. Anal. 32, No. 4, 1296--1307 (1995; Zbl 0840.65077) Full Text: DOI
Hairer, E.; Lubich, Ch. On the stability of Volterra-Runge-Kutta methods. (English) Zbl 0532.65086 SIAM J. Numer. Anal. 21, 123-135 (1984). Reviewer: K.Burrage MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{E. Hairer} and \textit{Ch. Lubich}, SIAM J. Numer. Anal. 21, 123--135 (1984; Zbl 0532.65086) Full Text: DOI
Hairer, Ernst; Lubich, Ch.; Nørsett, Syvert P. Order of convergence of one-step methods for Volterra integral equations of the second kind. (English) Zbl 0519.65088 SIAM J. Numer. Anal. 20, 569-579 (1983). MSC: 65R20 45G10 PDFBibTeX XMLCite \textit{E. Hairer} et al., SIAM J. Numer. Anal. 20, 569--579 (1983; Zbl 0519.65088) Full Text: DOI