Abstract
In this chapter, the numerical solution of ordinary differential equations (odes) will be described. There is a direct connection between this area and that of partial differential equations (pdes), as noted in, for example, [1]. The ode field is large; but here we restrict ourselves to those techniques that appear again in the pde field. Readers wishing greater depth than is presented here can find it in the great number of texts on the subject, such as the classics by Lapidus and Seinfeld [2], Gear [3], Jain [4] or the very detailed volumes by Hairer et al. [5, 6]. There is a very clear chapter in Gerald [7].
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Britz, D., Strutwolf, J. (2016). Ordinary Differential Equations. In: Digital Simulation in Electrochemistry. Monographs in Electrochemistry. Springer, Cham. https://doi.org/10.1007/978-3-319-30292-8_4
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