For the numerical solution of initial value problems a general procedure to determine global integration methods is derived and studied. They are collocation methods which can be easily implemented and provide a high order accuracy. They further provide globally continuous differentiable solutions. Computation of the integrals which appear in the coefficients are generated by a recurrence formula and no integrals are involved in the calculation. Numerical experiments provide favorable comparisons with other existing methods.
A class of collocation methods for numerical integration of initial value problems / COSTABILE F; NAPOLI A. - In: COMPUTERS & MATHEMATICS WITH APPLICATIONS. - ISSN 0898-1221. - 62:8(2011), pp. 3221-3235.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
Titolo: | A class of collocation methods for numerical integration of initial value problems |
Autori: | |
Data di pubblicazione: | 2011 |
Rivista: | |
Citazione: | A class of collocation methods for numerical integration of initial value problems / COSTABILE F; NAPOLI A. - In: COMPUTERS & MATHEMATICS WITH APPLICATIONS. - ISSN 0898-1221. - 62:8(2011), pp. 3221-3235. |
Handle: | http://hdl.handle.net/20.500.11770/125579 |
Appare nelle tipologie: | 1.1 Articolo in rivista |