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Rational Runge-Kutta methods are not suitable for stiff systems of ODEs

✍ Scribed by G. Sottas


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
384 KB
Volume
10
Category
Article
ISSN
0377-0427

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An efficient family of strongly -stable
✍ S. GonzΓ‘lez-Pinto; D. HernΓ‘ndez-Abreu; J.I. Montijano πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 477 KB

algebraic equations a b s t r a c t For each integer s β‰₯ 3, a new uniparametric family of stiffly accurate, strongly A-stable, sstage Runge-Kutta methods is obtained. These are collocation methods with a first internal stage of explicit type. The methods are based on interpolatory quadrature rules,