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

[Heber Enrich]

Lugar: IMERL.

----- Original Message ----- 
From: "juan piccini" <piccini en fing.edu.uy>
To: "Dr. Roberto Markarian" <roma en fing.edu.uy>; <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: Tuesday, December 26, 2006 11:27 AM
Subject: Re: charla de Raúl Tempone. Resol. numérica de ecs diferenciales 
ordinarias


> ¿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.
>>
>>
>
>