[Todos CMAT] Re: charla de Raúl Tempone. Resol. numérica de ecs diferenciales ordinarias

[juan piccini]

¿Lugar?
J.
----- Original Message ----- 
From: "Dr. Roberto Markarian" <roma en fing.edu.uy>
To: <todos en cmat.edu.uy>; <todos_imerl en fing.edu.uy>; "Alfredo Viola - INCO" 
<viola en fing.edu.uy>; "Pablo Monzón" <monzon en fing.edu.uy>
Sent: Friday, December 22, 2006 1:45 PM
Subject: charla de Raúl Tempone. Resol. numérica de ecs diferenciales 
ordinarias


> (ruego a AViola y PMonzón que distribuyan en sus institutos)
>
> Viernes 29 de diciembre, 10 hs.
>
> Estimacion del error global en ODEs y metodos adaptativos para su control.
>
>> Resumen:
>> A variational principle, inspired by optimal control, yields a simple
>> derivation of an error representation, global error=\sum local
>> error*weight, for general approximation of functions of solutions to
>> ordinary differential equations. This error representation is then
>> approximated by a sum of computable error indicators, to obtain a useful
>> global error indicator for adaptive mesh refinements. A uniqueness
>> formulation is provided for desirable error representations of adaptive
>> algorithms.
>> We construct an adaptive algorithm for ordinary differential equations 
>> and
>> analyze its asymptotic behavior as the error tolerance parameter tends to
>> zero. An adaptive algorithm, based on the error indicators and successive
>> subdivision of time steps, is proven to stop with the optimal number, N,
>> of steps up to a problem independent factor defined in the algorithm.
>
>