BACKWARD NORDSIECK’S METHODS FOR NUMERICAL SOLVING OF ORDINARY DIFFERENTIAL EQUATIONS
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The complete mitogenome of Helixpomatia and the basal phylogeny of Helicinae (Gastropoda, Stylommatophora, Helicidae). [PDF]
Orábek O, Petrusek A, Rovatsos M.
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A contribution to knowledge on the terrestrial malacofauna of the Kastellorizo (Megisti) island group (SE Greece). [PDF]
Mylonas M +2 more
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Annotated type catalogue of land snails collected from Taiwan (Formosa) in the Natural History Museum, London. [PDF]
Hwang CC.
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Five alien achatinid land snails (Gastropoda, Eupulmonata) first reported in greenhouses of Italian botanical gardens. [PDF]
Manganelli G +3 more
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LINEAR MULTISTEP METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS: METHOD FORMULATIONS, STABILITY, AND THE METHODS OF NORDSIECK AND GEAR. [PDF]
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Explicit Nordsieck methods with quadratic stability
The authors present the construction of explicit Nordsieck methods with \(s\) stages of order \(p = s-1\) and stage order \(q = p\) with inherent quadratic stability and quadratic stability with large regions of absolute stability for ordinary differential equations \(y'=f(y),\;t\in [t_0,T]\), \(y(t_0)=y_0\), where \(f:\mathbb R^m\to\mathbb R^m\) is ...
Zdzislaw Jackiewicz +1 more
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A Class of Variable-Step Explicit Nordsieck Multivalue Methods
Exploratory results are presented for a class of variable-step, three- step, three-stage, explicit Nordsieck multivalue methods of order six. The aim is to demonstrate that the new methods are potentially more efficient than existing methods of the same order. Numerical comparisons are given.
Burrage K., Sharp P.W.
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Nordsieck Methods with an Off-Step Point
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John C. Butcher, A. E. O'Sullivan
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Consistency of Nordsieck Methods
SIAM Journal on Numerical Analysis, 1977Necessary and sufficient conditions for consistency of Nordsieck methods are obtained. The notion of essential-consistency is introduced and explained geometrically. Finally it is shown that if a $(k + 1)$-value Nordsieck method is pth order essentially-consistent, then $p \leqq k + 2$.
Skeel, R. D., Jackson, L. W.
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