A new class of two-step Runge-Kutta methods for the numerical solution of ordinary differential equations is proposed. These methods are obtained using the collocation approach by relaxing some of the collocation conditions to obtain methods with desirable stability properties. Local error estimation for these methods is also discussed. © Springer Science + Business Media, LLC 2009.
Two-step almost collocation methods for ordinary differential equations
D'Ambrosio, R.;
2010-01-01
Abstract
A new class of two-step Runge-Kutta methods for the numerical solution of ordinary differential equations is proposed. These methods are obtained using the collocation approach by relaxing some of the collocation conditions to obtain methods with desirable stability properties. Local error estimation for these methods is also discussed. © Springer Science + Business Media, LLC 2009.File in questo prodotto:
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