# Институт вычислительной математики

и математической геофизики

# The International Conference on Computational Mathematics

ICCM-2004

June, 21-25, 2004
Novosibirsk, Academgorodok

## Abstracts

*Numerical solution of differential and integral equations*

## ABOUT CONVERGENCE OF ALGORITHMS OF ADAPTATION FOR SINGULAR PERTURBED BOUNDARY VALUE PROBLEMS

**Поволжская государственная академия телекоммуникаций и информатики (Samara)**
The vast literature is dedicated to algorithms of construction of
mobile adaptive grids automatically fine-tuned to features of the
solution of a problem. However, as far as we know, in the
literature there is not a stringent mathematical substantiation of
convergence of such algorithms to limiting grid, on which one the
estimation of error at a call-off quantity of clusters will be
optimum or close to optimum. In the present work the stringent
mathematical substantiation of convergence of algorithm of
adaptation for the model
singular perturbed boundary value problem are resulted and the results of the numerical
experiment verifying the theoretical results are given.

*Note. Abstracts are published in author's edition*

© 1996-2000, Siberian Branch of Russian Academy of Sciences, Novosibirsk

Last update: 06-Jul-2012 (11:52:06)