A set of symmetric, closed, interpolatory integration formu1as on the interval [-1, 1] is investigated. These formulas, called recursive monotone, have the property that higher order or compound rules can be applied without wasting previous computed functional values. An exhaustive search shows the existence of 27 families of recursive monotone formulas with positive weights and increasing degree of precision, stemming from the simple trapezoidal rule. The numerical behaviour of the formulas is experimented.
Interpolatory integration formulas for optimal composition
Favati P;
1987
Abstract
A set of symmetric, closed, interpolatory integration formu1as on the interval [-1, 1] is investigated. These formulas, called recursive monotone, have the property that higher order or compound rules can be applied without wasting previous computed functional values. An exhaustive search shows the existence of 27 families of recursive monotone formulas with positive weights and increasing degree of precision, stemming from the simple trapezoidal rule. The numerical behaviour of the formulas is experimented.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
prod_419574-doc_148341.pdf
accesso aperto
Descrizione: Interpolatory integration formulas for optimal composition
Dimensione
1.39 MB
Formato
Adobe PDF
|
1.39 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
