An efficient family of strongly A-stable Runge–Kutta collocation methods for stiff systems and DAEs. Part II: Convergence results

An efficient family of strongly -stable

An efficient family of strongly -stable Runge–Kutta collocation methods for stiff systems and DAEs. Part I: Stability and order results

✍ S. González-Pinto; D. Hernández-Abreu; J.I. Montijano 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 477 KB

algebraic equations a b s t r a c t For each integer s ≥ 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,