ISSN:
0945-3245
Keywords:
AMS(MOS): 65L05
;
Cr: 5.17
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary It is well known thatsome implicit Runge-Kutta methods are equivalent to collocation methods. This fact permits very short and natural proofs of order andA, B, AN, BN-stability properties for this subclass of methods (see [9] and [10]). The present paper answers the natural question, ifall RK methods can be considered as a somewhat “perturbed” collocation. After having introduced this notion we give a proof on the order of the method and discuss their stability properties. Much of known theory becomes simple and beautiful.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01397089
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