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On the stability properties of Brown's multistep multiderivative methods (1978)

Jeltsch, Rolf ; Kratz, L.

Springer

Numerische Mathematik 30 (1978), S. 25-38

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ISSN: 0945-3245

Keywords: AMS (MOS): 65L05 ; CR: 5.17

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary Brown introducedk-step methods usingl derivatives. We investigate for whichk andl the methods are stable or unstable. It is seen that to anyl the method becomes unstable fork large enough. All methods withk≦2(l+1) are stable. Fork=1,2,..., 18 there exists aλ k such that the methods are stable for anyl ≧λ k and unstable for anyl 〈λ k . Theλ k are given.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01403904

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