A note on the stability of the upwind scheme for ordinary differential equations
نویسنده
چکیده
In this paper the stability of the upwind scheme for second order, linear ordinary differential equations with general boundary conditions of the third kind is proved. The proof is carried out via compactness arguments and is rather short. Moreover, no information on the behaviour of the solution of the differential equation itself is needed. This approach seems not to be present in the existing literature.
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عنوان ژورنال:
- J. Num. Math.
دوره 20 شماره
صفحات -
تاریخ انتشار 2012