Our purpose is the design of efficient methods for solving stiff and nonstiff initial value problems for second-order ordinary differential equations of the special form y''=f(y). We analyse approximate factorization methods for second-order stiff differential equations, we construct general linear methods with parallel stages for nonstiff equations with peridic solution, we propose both parallel and sequential methods tuned to the special form of the solution. A number of convergence and stability results are derived and the performances of the methods are illustrated by means of a few examples from the literature.

Efficient methods for special second order ODEs

PATERNOSTER, Beatrice
2000

Abstract

Our purpose is the design of efficient methods for solving stiff and nonstiff initial value problems for second-order ordinary differential equations of the special form y''=f(y). We analyse approximate factorization methods for second-order stiff differential equations, we construct general linear methods with parallel stages for nonstiff equations with peridic solution, we propose both parallel and sequential methods tuned to the special form of the solution. A number of convergence and stability results are derived and the performances of the methods are illustrated by means of a few examples from the literature.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/1000194
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 0
social impact