The criteria to be satisfied by ?dense" formulae associated with Runge-Kutta embedded pairs are considered. From a new criterion based on global error considerations, new continuous formulae are derived and tested for some well known efficient pairs.
✦ LIBER ✦
Continuous approximation with embedded Runge-Kutta-Nyström methods
✍ Scribed by T.S. Baker; J.R. Dormand; P.J. Prince
- Book ID
- 108415938
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 761 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0168-9274
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In the present work, we are concerned with the derivation of continuous Rung+Kutta-Nystrom methods for the numerical treatment of second-order ordinary differential equations with periodic solutions. Numerical methods used for solving such problems are better to have the characteristic of high phase