Abstract:
The construction of mathematical models and the solution of inverse problems in
physical chemistry are related to the minimization of difference between numerical
and experimental data, which requires a multiple solution of computationally
time-consuming direct problems. In order to study the mechanisms of complex
chemical reactions of metal-complex catalysis and to determine their kinetic
parameters, it is proposed to use the parallel index method of global optimization.
The method uses the dimension reduction based on Peano curves and the information
approach supplemented with the building multiple mapping ("rotated evolvement")
allowing the efficient usage of hundreds of processors. A mixed local-global
strategy and other modifications of the index method are used to accelerate the
search procedure.