The purpose of this work is to derive a family of multivalue collocation methods for the numerical solution of ordinary differential equations. The methods are characterized by a lower triangular coefficient matrix of the nonlinear system for the computation of the stages, with all equal diagonal entries. Such structure can be exploited in order to obtain an efficient implementation. The constructed methods are A-stable and have a uniform order of convergence.
Singly diagonally implicit multivalue collocation methods
D'Ambrosio R.;
2020-01-01
Abstract
The purpose of this work is to derive a family of multivalue collocation methods for the numerical solution of ordinary differential equations. The methods are characterized by a lower triangular coefficient matrix of the nonlinear system for the computation of the stages, with all equal diagonal entries. Such structure can be exploited in order to obtain an efficient implementation. The constructed methods are A-stable and have a uniform order of convergence.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
