Laurent, Adrien; McLachlan, Robert I.; Munthe-Kaas, Hans Z.; Verdier, Olivier The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators. (English) Zbl 1527.37090 Forum Math. Sigma 11, Paper No. e69, 39 p. (2023). Reviewer: Kevin Burrage (Brisbane) MSC: 37M15 41A58 05C05 65L06 58A12 PDFBibTeX XMLCite \textit{A. Laurent} et al., Forum Math. Sigma 11, Paper No. e69, 39 p. (2023; Zbl 1527.37090) Full Text: DOI arXiv
Bayleyegn, Teshome; Faragó, István; Havasi, Ágnes On the consistency and convergence of classical Richardson extrapolation as applied to explicit one-step methods. (English) Zbl 1514.65085 Math. Model. Anal. 28, No. 1, 42-52 (2023). MSC: 65L05 65L20 65M12 PDFBibTeX XMLCite \textit{T. Bayleyegn} et al., Math. Model. Anal. 28, No. 1, 42--52 (2023; Zbl 1514.65085) Full Text: DOI
Tunc, Huseyin; Sari, Murat A stability preserved time-integration method for nonlinear advection-diffusion-reaction processes. (English) Zbl 1471.92488 J. Math. Chem. 59, No. 8, 1917-1937 (2021). MSC: 92E20 65L05 PDFBibTeX XMLCite \textit{H. Tunc} and \textit{M. Sari}, J. Math. Chem. 59, No. 8, 1917--1937 (2021; Zbl 1471.92488) Full Text: DOI arXiv
Kutniv, M. V.; Datsko, B. Y.; Kunynets, A. V.; Włoch, A. A new approach to constructing of explicit one-step methods of high order for singular initial value problems for nonlinear ordinary differential equations. (English) Zbl 1434.65088 Appl. Numer. Math. 148, 140-151 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65L05 65L06 PDFBibTeX XMLCite \textit{M. V. Kutniv} et al., Appl. Numer. Math. 148, 140--151 (2020; Zbl 1434.65088) Full Text: DOI
Guermond, Jean-Luc; Minev, Peter High-order adaptive time stepping for the incompressible Navier-Stokes equations. (English) Zbl 1411.65146 SIAM J. Sci. Comput. 41, No. 2, A770-A788 (2019). MSC: 65N12 65N15 35Q30 PDFBibTeX XMLCite \textit{J.-L. Guermond} and \textit{P. Minev}, SIAM J. Sci. Comput. 41, No. 2, A770--A788 (2019; Zbl 1411.65146) Full Text: DOI
McLachlan, Robert I.; Modin, Klas; Munthe-Kaas, Hans; Verdier, Olivier B-series methods are exactly the affine equivariant methods. (English) Zbl 1364.65145 Numer. Math. 133, No. 3, 599-622 (2016). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65L06 65L12 37C80 37C10 41A58 34A34 PDFBibTeX XMLCite \textit{R. I. McLachlan} et al., Numer. Math. 133, No. 3, 599--622 (2016; Zbl 1364.65145) Full Text: DOI arXiv
Wu, Jingwen; Tian, Hongjiong Functionally-fitted block methods for ordinary differential equations. (English) Zbl 1321.65113 J. Comput. Appl. Math. 271, 356-368 (2014). MSC: 65L05 34A34 65L60 PDFBibTeX XMLCite \textit{J. Wu} and \textit{H. Tian}, J. Comput. Appl. Math. 271, 356--368 (2014; Zbl 1321.65113) Full Text: DOI
Hansen, Markus; Schwab, Christoph Sparse adaptive approximation of high dimensional parametric initial value problems. (English) Zbl 1272.34012 Vietnam J. Math. 41, No. 2, 181-215 (2013). MSC: 34A12 46G20 41A58 34G20 PDFBibTeX XMLCite \textit{M. Hansen} and \textit{C. Schwab}, Vietnam J. Math. 41, No. 2, 181--215 (2013; Zbl 1272.34012) Full Text: DOI Link
Shiraishi, Fumihide; Egashira, Masaaki; Iwata, Michio Highly accurate computation of dynamic sensitivities in metabolic reaction systems by a Taylor series method. (English) Zbl 1227.92033 Math. Biosci. 233, No. 1, 59-67 (2011). MSC: 92C45 65C60 34A99 92-04 37N25 PDFBibTeX XMLCite \textit{F. Shiraishi} et al., Math. Biosci. 233, No. 1, 59--67 (2011; Zbl 1227.92033) Full Text: DOI
Brown, Ryan M. Insufficiency of chemical network model integration using a high-order Taylor series method. (English) Zbl 1190.92051 J. Appl. Math. Comput. 33, No. 1-2, 83-102 (2010). MSC: 92E20 65P99 90C90 37N25 65C20 92C40 65L05 PDFBibTeX XMLCite \textit{R. M. Brown}, J. Appl. Math. Comput. 33, No. 1--2, 83--102 (2010; Zbl 1190.92051) Full Text: DOI
Miletics, E.; Molnárka, G. Implicit extension of Taylor series method with numerical derivatives for initial value problems. (English) Zbl 1092.65056 Comput. Math. Appl. 50, No. 7, 1167-1177 (2005). Reviewer: Zdzislaw Jackiewicz (Tempe) MSC: 65L05 65L06 34A34 65L60 65L20 65L70 PDFBibTeX XMLCite \textit{E. Miletics} and \textit{G. Molnárka}, Comput. Math. Appl. 50, No. 7, 1167--1177 (2005; Zbl 1092.65056) Full Text: DOI
Barrio, Roberto Performance of the Taylor series method for ODEs/DAEs. (English) Zbl 1067.65063 Appl. Math. Comput. 163, No. 2, 525-545 (2005). MSC: 65L05 65L80 34A09 34A34 PDFBibTeX XMLCite \textit{R. Barrio}, Appl. Math. Comput. 163, No. 2, 525--545 (2005; Zbl 1067.65063) Full Text: DOI