ERROR ESTIMATION FOR PERTURBED DAEs

G. BORONI; P. LOTITO; A. CLAUSSE

Buenos Aires

Conferencia; 3rd International Conference on Integrated Modeling and Analysis in in Applied Control and Automation; 2007

IMSMo7

In this paper we propose a new method based on adjoint  systems  for  the  estimation  of  errors  induced  by perturbations  in  the  initial  conditions  of  DAEs. With  this method  an  estimation  of  the  error  is  obtained  with  a methodology  which  is  independent  of  the  perturbations, facilitating  the  estimation  of  errors  for  systems  of  equations with  a  large  number  of  parameters.  In  addition, we propose an  extension  of  the  method  based  on  the  use  of  estimation functions that allows transforming the original adjoint system into  an  algebraic  system,  making  it  suitable  for  the application of many efficient numerical methods.