Ravelo, Fernando V.; Peixoto, Pedro S.; Schreiber, Martin An explicit exponential integrator based on Faber polynomials and its application to seismic wave modeling. (English) Zbl 07788954 J. Sci. Comput. 98, No. 2, Paper No. 32, 39 p. (2024). MSC: 65N22 65N06 65L06 65N25 41A58 65N12 65N15 85A15 35Q85 PDFBibTeX XMLCite \textit{F. V. Ravelo} et al., J. Sci. Comput. 98, No. 2, Paper No. 32, 39 p. (2024; Zbl 07788954) Full Text: DOI arXiv
Li, Dongping; Yang, Siyu; Lan, Jiamei Efficient and accurate computation for the \(\varphi\)-functions arising from exponential integrators. (English) Zbl 1485.65050 Calcolo 59, No. 1, Paper No. 11, 24 p. (2022). MSC: 65F60 65L05 PDFBibTeX XMLCite \textit{D. Li} et al., Calcolo 59, No. 1, Paper No. 11, 24 p. (2022; Zbl 1485.65050) Full Text: DOI arXiv
Wu, Feng; Zhang, Kailing; Zhu, Li; Hu, Jiayao High-performance computation of the exponential of a large sparse matrix. (English) Zbl 1480.65104 SIAM J. Matrix Anal. Appl. 42, No. 4, 1636-1655 (2021). MSC: 65F60 65F50 15A16 15A60 05C82 PDFBibTeX XMLCite \textit{F. Wu} et al., SIAM J. Matrix Anal. Appl. 42, No. 4, 1636--1655 (2021; Zbl 1480.65104) Full Text: DOI arXiv
Seydaoğlu, Muaz; Bader, Philipp; Blanes, Sergio; Casas, Fernando Computing the matrix sine and cosine simultaneously with a reduced number of products. (English) Zbl 1460.65047 Appl. Numer. Math. 163, 96-107 (2021). MSC: 65F60 PDFBibTeX XMLCite \textit{M. Seydaoğlu} et al., Appl. Numer. Math. 163, 96--107 (2021; Zbl 1460.65047) Full Text: DOI arXiv
Fischer, Thomas M. On the algorithm by Al-Mohy and Higham for computing the action of the matrix exponential: a posteriori roundoff error estimation. (English) Zbl 1372.65137 Linear Algebra Appl. 531, 141-168 (2017). MSC: 65F60 65G50 PDFBibTeX XMLCite \textit{T. M. Fischer}, Linear Algebra Appl. 531, 141--168 (2017; Zbl 1372.65137) Full Text: DOI
Nechepurenko, Yu. M.; Sadkane, M. Computing humps of the matrix exponential. (English) Zbl 1360.65136 J. Comput. Appl. Math. 319, 87-96 (2017). MSC: 65F60 65F10 65F50 PDFBibTeX XMLCite \textit{Yu. M. Nechepurenko} and \textit{M. Sadkane}, J. Comput. Appl. Math. 319, 87--96 (2017; Zbl 1360.65136) Full Text: DOI
Caliari, Marco; Kandolf, Peter; Ostermann, Alexander; Rainer, Stefan The Leja method revisited: backward error analysis for the matrix exponential. (English) Zbl 1339.65061 SIAM J. Sci. Comput. 38, No. 3, A1639-A1661 (2016). MSC: 65F60 65D05 PDFBibTeX XMLCite \textit{M. Caliari} et al., SIAM J. Sci. Comput. 38, No. 3, A1639--A1661 (2016; Zbl 1339.65061) Full Text: DOI arXiv
Caliari, Marco; Kandolf, Peter; Ostermann, Alexander; Rainer, Stefan Comparison of software for computing the action of the matrix exponential. (English) Zbl 1290.65042 BIT 54, No. 1, 113-128 (2014). MSC: 65F60 65L04 65F10 PDFBibTeX XMLCite \textit{M. Caliari} et al., BIT 54, No. 1, 113--128 (2014; Zbl 1290.65042) Full Text: DOI
Xue, Jungong; Ye, Qiang Computing exponentials of essentially non-negative matrices entrywise to high relative accuracy. (English) Zbl 1279.65051 Math. Comput. 82, No. 283, 1577-1596 (2013). Reviewer: Edgar Pereira (Natal) MSC: 65F60 65F35 15A12 15A16 15B48 PDFBibTeX XMLCite \textit{J. Xue} and \textit{Q. Ye}, Math. Comput. 82, No. 283, 1577--1596 (2013; Zbl 1279.65051) Full Text: DOI