𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An improvement on the positivity results for 2-stage explicit Runge–Kutta methods

✍ Scribed by M. Mehdizadeh Khalsaraei

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
464 KB
Volume
235
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we investigate the positivity property for a class of 2-stage explicit Runge-Kutta (RK2) methods of order two when applied to the numerical solution of special nonlinear initial value problems (IVPs) for ordinary differential equations (ODEs). We also pay particular attention to monotonicity property. We obtain new results for positivity which are important in practical applications. We provide some numerical examples to illustrate our results.

📜 SIMILAR VOLUMES

An improved procedure for the analysis o
An improved procedure for the analysis of linkage positions in 2-acetamido-2-deoxy-d-glucopyranosyl residues by the reductive-cleavage method
✍ Anello J. D'Ambra; Gary R. Gray 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 829 KB

The conditions of the reductive-cleavage method were modified to allow simultaneous analysis of 2-acetamido-2-deoxy-o-glucopyranosyl residues and monosaccharides of other classes. Methyl 2-deoxy-3,4,6-tri-0-methyl-2-(N-methylacetamidoride was found to undergo transglycosidation under reductive-cleav