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Reprint of: “Approximate Taylor methods for ODEs”. (English) Zbl 1447.65012

Reprint of [the authors, ibid. 159, 156–166 (2017; Zbl 1390.65051)] as part of the special issue.

MSC:

65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations

Citations:

Zbl 1390.65051

Software:

Taylor
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Full Text: DOI

References:

[1] Beljadid, A.; LeFloch, P. G.; Mishra, S.; Pares, C., Schemes with well-controlled dissipation, Hyperbolic Syst Nonconserv Commun Comput Phys, 21, 4, 913-946, (2017) · Zbl 1373.76155
[2] Butcher, J. C., Numerical methods for ordinary differential equations, (2008), 2nd Edition. John Wiley & Sons, Ltd. Chichester · Zbl 1167.65041
[3] Faà di Bruno, C., Note sur un nouvelle formule de calcul differentiel, Quart J Math 1, 359-360, (1857)
[4] Hairer, E.; Nørsett, S. P.; Wanner, G., Solving ordinary differential equations. I, 2nd Edition. Vol. 8 of Springer Series in Computational Mathematics, (1993), Springer-Verlag · Zbl 0789.65048
[5] Jorba, A.; Zou, M., A software package for the numerical integration of ODEs by means of high-order Taylor methods, Exp Math, 14, 1, 99-117, (2005) · Zbl 1108.65072
[6] Zorío, D.; Baeza, A.; Mulet, P., An approximate Lax-Wendroff-type procedure for high-order accurate schemes for hyperbolic conservation laws, J Sci Comput, 71, 1, 246-273, (2017) · Zbl 1387.65094
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