New classes of continuous two-step Runge-Kutta methods for the numerical solution of ordinary differential equations are derived. These methods are developed imposing some interpolation and collocation conditions, in order to obtain desirable stability properties such as A-stability and L-stability. Particular structures of the stability polynomial are also investigated. © 2009 Springer Science+Business Media, LLC.

Continuous two-step Runge-Kutta methods for ordinary differential equations

D'Ambrosio, Raffaele
;
2010-01-01

Abstract

New classes of continuous two-step Runge-Kutta methods for the numerical solution of ordinary differential equations are derived. These methods are developed imposing some interpolation and collocation conditions, in order to obtain desirable stability properties such as A-stability and L-stability. Particular structures of the stability polynomial are also investigated. © 2009 Springer Science+Business Media, LLC.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/119565
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