While the method makes the problem of computation of Taylor maps straightforward and their manipulation and analysis convenient, for many applications it is important to have exact bounds of the truncation error. Recently it was shown how such information can be determined conveniently and with rather limited effort. Furthermore, it is often important to know the domain and the speed of convergence of the Taylor expansion. We will show that similar to the conventional DA approach, such information can be obtained by carrying the three elementary operations of addition, multiplication, and differentiation on the space of infinitely often differentiable functions to a suitable smaller space that can be described on a computer.
M. Berz, Nuclear Instruments and Methods A363 (1995) 100-104
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