Rate of convergence of local linearization schemes for initial-value problems
نویسندگان
چکیده
There is a large variety of Local Linearization (LL) schemes for the numerical integration of initial value problems, which differ with respect to the algorithm that is used in the numerical implementation of the Local Linear Discretization. However, in contrast with the LL Discretization, the order of convergence of the LL schemes have not been studied. In this paper, a general theorem about that matter is given. In addition, a brief survey of the main implementations of the LL method is also presented.
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 171 شماره
صفحات -
تاریخ انتشار 2005