P-stable boundary value methods for second order IVPs

Lidia Aceto, Paolo Ghelardoni, Cecilia Magherini

Risultato della ricerca: Capitolo in libro/report/atti di convegnoContributo a conferenzapeer review

Abstract

We introduce a family of Linear Multistep Methods used as Boundary Value Methods for the numerical solution of initial value problems for second order ordinary differential equations of special type. The aim is to obtain P-stable methods with arbitrary order of accuracy. This result allows to overcome the order barrier established by Lambert and Watson which limited to p = 2 the maximum order of a P-stable Linear Multistep Method. In addition, an extension of the methods in the Exponential Fitting framework is also considered.

Lingua originaleInglese
Titolo della pubblicazione ospiteNumerical Analysis and Applied Mathematics, ICNAAM 2012 - International Conference of Numerical Analysis and Applied Mathematics
Pagine1165-1168
Numero di pagine4
Edizione1
DOI
Stato di pubblicazionePubblicato - 2012
Pubblicato esternamente
EventoInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 - Kos, Greece
Durata: 19 set 201225 set 2012

Serie di pubblicazioni

NomeAIP Conference Proceedings
Numero1
Volume1479
ISSN (stampa)0094-243X
ISSN (elettronico)1551-7616

???event.eventtypes.event.conference???

???event.eventtypes.event.conference???International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012
Paese/TerritorioGreece
CittàKos
Periodo19/09/1225/09/12

Fingerprint

Entra nei temi di ricerca di 'P-stable boundary value methods for second order IVPs'. Insieme formano una fingerprint unica.

Cita questo