Totally discrete and Eulerian type scales. (English) Zbl 1127.39031
Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 462-470 (2007).
Summary: We show two results concerning approximation via “totally discrete” time scales. In the first, we show that any time scale can be approximated by a totally discrete time scale. In the second, we show the bifurcations in the parameter space for a simple two parameter family of dynamic equations – one parameter is the time scale itself, derived from Euler’s method for solving differential equations. These results speak to the nature of numerical approximations.
For the entire collection see [Zbl 1117.39001].
For the entire collection see [Zbl 1117.39001].
MSC:
| 39A12 | Discrete version of topics in analysis |
