It is known that linear k-step methods can be used for solving initial value problems by tranforming them to boundary value problems. They are known as boundary value methods.(BVMs). In this paper we obtain two-step BVMs with high order of accuracy and good stability properties. which can be competitive with other konwn BVMs with k > 2. Namely this aim has been reached by some classes fo two-step formulas involving derivatives of an higher order than the first. The proposed formulas. well known in literature as initial value methods. here are studied as boundary value methods and heir BV-stability properties are investigated. Relevant numerical experiments are quoted.
Two-step multi-derivative boundary value methods for linear IVPs
GHELARDONI, PAOLO;
1997-01-01
Abstract
It is known that linear k-step methods can be used for solving initial value problems by tranforming them to boundary value problems. They are known as boundary value methods.(BVMs). In this paper we obtain two-step BVMs with high order of accuracy and good stability properties. which can be competitive with other konwn BVMs with k > 2. Namely this aim has been reached by some classes fo two-step formulas involving derivatives of an higher order than the first. The proposed formulas. well known in literature as initial value methods. here are studied as boundary value methods and heir BV-stability properties are investigated. Relevant numerical experiments are quoted.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
