ISSN:
1572-9125
Keywords:
65M10
;
65M20
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We analyse the attainable order and the stability of Runge-Kutta-Nyström (RKN) methods for special second-order initial-value problems derived by collocation techniques. Like collocation methods for first-order equations the step point order ofs-stage methods can be raised to 2s for alls. The attainable stage order is one higher and equalss+1. However, the stability results derived in this paper show that we have to pay a high price for the increased stage order.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01933263
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