Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software
Link
https://link.springer.com/content/pdf/10.1007/s10543-022-00936-w.pdf
Reference22 articles.
1. Bruned, Y., Hairer, M., Zambotti, L.: Algebraic renormalisation of regularity structures. Invent. Math. 215, 1039–1156 (2019)
2. Butcher, J.C.: Coefficients for the study of Runge–Kutta integration processes. J. Austral. Math. Soc. 3, 185–201 (1963)
3. Butcher, J.C.: Trees and numerical methods for ordinary differential equations. Numer. Algorithms 53, 153–170 (2010)
4. Butcher, J.C.: Numerical Methods for Ordinary Differential Equations, 3rd edn. Wiley, Chichester (2016)
5. Cayley, A.: On the theory of the analytical forms called trees. Philos. Mag. 13(85), 172–176 (1857)
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