1986
A study of the recursion $y_{n + 1} = y_n + \tau y_n^m$
Publication
Publication
Journal of Mathematical Analysis and Applications , Volume 116 - Issue 2 p. 456- 464
We provide a detailed study of the recursion $y_0 = 1, y_{n+1} = y_n + \tau y_n^m, n = 0, 1, \dots , m > 1$, which arises either as a model discretization of a nonlinear ODE or in the use of the energy method. Sharp bounds and asymptotic estimates are given for the size of the iterates $y_n$.
| Additional Metadata | |
|---|---|
| , , , | |
| Academic Press | |
| Journal of Mathematical Analysis and Applications | |
| Organisation | Modelling, Analysis and Computation |
|
Sanz-Serna, J. M., & Verwer, J. (1986). A study of the recursion $y_{n + 1} = y_n + \tau y_n^m$. Journal of Mathematical Analysis and Applications, 116(2), 456–464. |
|