Results 111 to 120 of about 11,917,932 (151)

BACKWARD NORDSIECK’S METHODS FOR NUMERICAL SOLVING OF ORDINARY DIFFERENTIAL EQUATIONS

open access: yesMODALITĂȚI CONCEPTUALE DE DEZVOLTARE A ȘTIINȚEI MODERNE- VOLUMEN 5, 2020
openaire   +2 more sources

Explicit Nordsieck methods with quadratic stability

open access: yesNumerical Algorithms, 2011
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
exaly   +4 more sources

A Class of Variable-Step Explicit Nordsieck Multivalue Methods

open access: yesSIAM Journal on Numerical Analysis, 1994
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.
exaly   +5 more sources

Nordsieck Methods with an Off-Step Point

open access: yesNumerical Algorithms, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
John C. Butcher, A. E. O'Sullivan
openaire   +4 more sources

Consistency of Nordsieck Methods

SIAM Journal on Numerical Analysis, 1977
Necessary 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.
exaly   +3 more sources

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