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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    BIT 31 (1991), S. 469-481 
    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
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