Inexact Newton methods can be effectively used in codes for large stiff initial value problems for ordinary differential equations. In this paper we give a new convergence result for Inexact Newton methods. Further, we indicate how this general result can be used and actually implemented to obtain an efficient code for solving stiff initial value problems.
Inexact methods in the numerical solution of stiff initial value problems / B. MORINI; M. MACCONI. - In: COMPUTING. - ISSN 0010-485X. - STAMPA. - 63:(1999), pp. 265-281. [10.1007/s006070050034]
Inexact methods in the numerical solution of stiff initial value problems.
MORINI, BENEDETTA;MACCONI, MARIA
1999
Abstract
Inexact Newton methods can be effectively used in codes for large stiff initial value problems for ordinary differential equations. In this paper we give a new convergence result for Inexact Newton methods. Further, we indicate how this general result can be used and actually implemented to obtain an efficient code for solving stiff initial value problems.
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