Affordable Access

Publisher Website

An improved computational method for sensitivity analysis: Green's function method with ‘AIM’

Applied Mathematical Modelling
Publication Date
DOI: 10.1016/s0307-904x(81)80027-3
  • Chemistry
  • Computer Science
  • Mathematics


Sensitivity analysis of initial value models via the calculation of linear sensitivity coefficients is quite important for model evaluation and validation. Direct solution of the sensitivity equations for n-dimensional, m-parameter systems of ordinary differential equations requires the solution of m × n differential equations, which can become quite expensive for large-scale models. When m > n (the usual case for chemical kinetic systems, for example), the Green's function method (GFM), which requires solutions of n 2 differential equations with m × n subsequent numerical quadratures, is the most efficient computational technique for determining linear sensitivity coefficients. Even so, associated computing costs can still become quite large. In the current work, an algorithm, known as the analytical integrated Magnus (AIM) modification of the GFM, is presented which dramatically reduces the computational effort required to determine linear sensitivity coefficients. The technique employs the piecewise Magnus method for more efficient calculation of Green's function kernels, and treats the sensitivity integrals analytically. An application of this technique to a chemical kinetics system is presented in which the computational effort is reduced by an order of magnitude in comparison to the unmodified GFM.

There are no comments yet on this publication. Be the first to share your thoughts.


Seen <100 times

More articles like this

Sensitivity and control analysis of periodically f...

on Journal of Theoretical Biology Jan 01, 2007

Sensitivity and control analysis of periodically f...

on Journal of Theoretical Biology Aug 07, 2007

Improved sensitivity analysis by a coupled FE–EFG...

on Computers & Structures Jan 01, 2003

Computational methods for protein function analysi...

on Current Opinion in Chemical Bi... February 2001
More articles like this..