Forembski, Andrew; Nikolopoulos, Lampros A. A. MP-CITDSE: a set of ab-initio programs for the simulation of hydrogenic and helium-like atom-laser interactions. (English) Zbl 07723491 Comput. Phys. Commun. 291, Article ID 108820, 21 p. (2023). MSC: 81V45 78A60 81V10 46F05 35P10 62H20 70H05 41A58 PDFBibTeX XMLCite \textit{A. Forembski} and \textit{L. A. A. Nikolopoulos}, Comput. Phys. Commun. 291, Article ID 108820, 21 p. (2023; Zbl 07723491) Full Text: DOI
Sastre, Jorge; Ibáñez, Javier On the backward and forward error of approximations of analytic functions and applications to the computation of matrix functions. (English) Zbl 1502.65022 J. Comput. Appl. Math. 419, Article ID 114706, 18 p. (2023). MSC: 65F60 65D15 15A16 26C15 41-04 41A10 PDFBibTeX XMLCite \textit{J. Sastre} and \textit{J. Ibáñez}, J. Comput. Appl. Math. 419, Article ID 114706, 18 p. (2023; Zbl 1502.65022) Full Text: DOI
Aguirre-Mesa, Andres M.; Garcia, Manuel J.; Aristizabal, Mauricio; Wagner, David; Ramirez-Tamayo, Daniel; Montoya, Arturo; Millwater, Harry A block forward substitution method for solving the hypercomplex finite element system of equations. (English) Zbl 1507.65167 Comput. Methods Appl. Mech. Eng. 387, Article ID 114195, 25 p. (2021). MSC: 65M50 65N50 PDFBibTeX XMLCite \textit{A. M. Aguirre-Mesa} et al., Comput. Methods Appl. Mech. Eng. 387, Article ID 114195, 25 p. (2021; Zbl 1507.65167) Full Text: DOI
Sastre, J.; Ibáñez, J.; Defez, E. Boosting the computation of the matrix exponential. (English) Zbl 1429.65093 Appl. Math. Comput. 340, 206-220 (2019). MSC: 65F60 15A16 PDFBibTeX XMLCite \textit{J. Sastre} et al., Appl. Math. Comput. 340, 206--220 (2019; Zbl 1429.65093) Full Text: DOI
Sastre, J.; Ibáñez, J.; Defez, E.; Ruiz, P. New scaling-squaring Taylor algorithms for computing the matrix exponential. (English) Zbl 1315.65046 SIAM J. Sci. Comput. 37, No. 1, A439-A455 (2015). MSC: 65F60 PDFBibTeX XMLCite \textit{J. Sastre} et al., SIAM J. Sci. Comput. 37, No. 1, A439--A455 (2015; Zbl 1315.65046) Full Text: DOI Link
Sastre, J.; Ibáñez, J.; Ruiz, P.; Defez, E. Accurate and efficient matrix exponential computation. (English) Zbl 1291.65139 Int. J. Comput. Math. 91, No. 1, 97-112 (2014). MSC: 65F30 65F35 65F60 PDFBibTeX XMLCite \textit{J. Sastre} et al., Int. J. Comput. Math. 91, No. 1, 97--112 (2014; Zbl 1291.65139) Full Text: DOI Link
Corless, Robert M.; Fillion, Nicolas A graduate introduction to numerical methods. From the viewpoint of backward error analysis. (English) Zbl 1295.65001 New York, NY: Springer (ISBN 978-1-4614-8452-3/hbk; 978-1-4614-8453-0/ebook). xxxix, 868 p. (2013). Reviewer: Robert Plato (Siegen) MSC: 65-01 65Gxx 00A06 65Dxx 65Fxx 65T50 65Lxx 65M20 65M70 65M06 PDFBibTeX XMLCite \textit{R. M. Corless} and \textit{N. Fillion}, A graduate introduction to numerical methods. From the viewpoint of backward error analysis. New York, NY: Springer (2013; Zbl 1295.65001) Full Text: DOI
Aptekarev, A. I.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Yáñez, R. Discrete entropies of orthogonal polynomials. (English) Zbl 1177.33018 Constr. Approx. 30, No. 1, 93-119 (2009). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 41A58 42C05 94A17 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Constr. Approx. 30, No. 1, 93--119 (2009; Zbl 1177.33018) Full Text: DOI arXiv
Pal, Srimanta Numerical methods. Principles, analysis and algorithms. (English) Zbl 1196.65001 Oxford: Oxford University Press (ISBN 978-0-19-569375-1/pbk). xii, 812 p. (2009). Reviewer: Georg Hebermehl (Berlin) MSC: 65-01 65Fxx 65Lxx 65Mxx 65Nxx 65Yxx 65D05 65D07 65D30 65G50 65H04 65H05 65H10 92B20 97M50 00A06 65C05 65R20 PDFBibTeX XMLCite \textit{S. Pal}, Numerical methods. Principles, analysis and algorithms. Oxford: Oxford University Press (2009; Zbl 1196.65001)
Nedialkov, Nedialko S.; Pryce, John D. Solving differential algebraic equations by Taylor series. III: The DAETs code. (English) Zbl 1188.65111 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 3, No. 1-2, 61-80 (2008). MSC: 65L80 34A09 65L05 41A58 PDFBibTeX XMLCite \textit{N. S. Nedialkov} and \textit{J. D. Pryce}, JNAIAM, J. Numer. Anal. Ind. Appl. Math. 3, No. 1--2, 61--80 (2008; Zbl 1188.65111)
Davies, Philip I.; Higham, Nicholas J. A Schur-Parlett algorithm for computing matrix functions. (English) Zbl 1052.65031 SIAM J. Matrix Anal. Appl. 25, No. 2, 464-485 (2003). Reviewer: Raffaella Pavani (Milano) MSC: 65F30 15A24 15A54 PDFBibTeX XMLCite \textit{P. I. Davies} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 25, No. 2, 464--485 (2003; Zbl 1052.65031) Full Text: DOI