Results 81 to 90 of about 240 (144)

With a little help from DNA barcoding: investigating the diversity of Gastropoda from the Portuguese coast. [PDF]

open access: yesSci Rep, 2016
Borges LM   +10 more
europepmc   +1 more source

Explicit Nordsieck second derivative general linear methods for ODEs

open access: closedANZIAM Journal, 2022
The paper deals with the construction of explicit Nordsieck second derivative general linear methods with \(s\) stages of order \(p\) with \(p=s\) and high stage order \(q=p\) with inherent Runge–Kutta or quadratic stability properties. Satisfying the order and stage order conditions together with inherent stability conditions leads to methods with ...
Paria Ramazani   +3 more
  +5 more sources

Consistency of Nordsieck Methods

open access: closedSIAM 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 $p \leqq k + 2$.
Robert D. Skeel, L. W. Jackson
openalex   +3 more sources

Explicit Nordsieck methods with quadratic stability

open access: closedNumerical 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 ...
Angelamaria Cardone, Z. Jackiewicz
openalex   +3 more sources

On the Stability of Variable-Stepsize Nordsieck BDF Methods

open access: closedSIAM Journal on Numerical Analysis, 1987
Die Verf. studieren die asymptotische Stabilität der rückwärts genommenen Differentiationsformeln in Nordsieck-Form auf nichtäquidistanten Gittern. Bei einem Wechsel der Schrittweite wird die Nordsiecksche Interpolationstechnik verwandt. Damit sind bei der Stabilitätsanalyse die Normen der Produkte der sich mit dem Schrittweitenwechsel ebenfalls ...
M. Calvo, F.J. Lisbona, J.I. Montijano
openalex   +2 more sources

Error Estimation for Nordsieck Methods

open access: closedNumerical Algorithms, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. C. Butcher, Z. Jackiewicz
openalex   +3 more sources

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