ISSN:
1572-9125
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A collocation method for initial value problems, parametrized byn + 1, the number of collocation points, and δ, the step size, is shown (using Kantorovich's methods) to produce errors which are uniformlyO[δ/n] p+1 for linear time varying systems of ordinary differential equations whose solutions arepth order continuous. Using Wright's method, the single step error is shown to yield errors which areO[δ n+k+2 for anyk, 0 〈k 〈n, by suitable choice of the collocation points.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01931372
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