Electronic Resource
Springer
Numerische Mathematik
41 (1983), S. 165-175
ISSN:
0945-3245
Keywords:
AMS(MOS): 65LO5
;
CR: 5.17
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary The extrapolated midpoint rule is a popular way to solve the initial value problem for a system of ordinary differential equations. As originally formulated by Gragg, the results are smoothed to remove the weak instability of the midpoint rule. It is shown that this smoothing is not necessary. A cheaper smoothing scheme is proposed. A way to exploit smoothing to increase the robustness of extrapolation codes is formulated.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01390211
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