Abstract
First the Euler scheme and its local and global discretisation errors are presented. Then several one step schemes such as Taylor schemes, Runge–Kutta schemes are introduced. Consistency and numerical instability are discussed.
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Notes
- 1.
Coombes, Kocak and Palmer [31] used a 31st order Taylor scheme to investigate the 3-dimensional Lorenz system numerically.
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Han, X., Kloeden, P. (2017). One Step Numerical Schemes. In: Attractors Under Discretisation. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-61934-7_2
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DOI: https://doi.org/10.1007/978-3-319-61934-7_2
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-61933-0
Online ISBN: 978-3-319-61934-7
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