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Numerical methods and programming, 2011, Volume 12, Issue 1, Pages 137–145
(Mi vmp178)
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This article is cited in 1 scientific paper (total in 1 paper)
Вычислительные методы и приложения
Application of the global optimization index method to solving
inverse problems of chemical kinetics
I. M. Gubaydullina, V. V. Ryabovb, M. V. Tikhonovac a Institute of Petrochemistry and Catalysis of RAS
b N. I. Lobachevski State University of Nizhni Novgorod
c Bashkir State University, Faculty of Mathematics and Information Technologies
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.
Keywords:
chemical kinetics; inverse problem; carboalumination; global optimization; rotated evolvements; black-box optimization; mixed strategy; parallel algorithms.
Citation:
I. M. Gubaydullin, V. V. Ryabov, M. V. Tikhonova, “Application of the global optimization index method to solving
inverse problems of chemical kinetics”, Num. Meth. Prog., 12:1 (2011), 137–145
Linking options:
https://www.mathnet.ru/eng/vmp178 https://www.mathnet.ru/eng/vmp/v12/i1/p137
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Abstract page: | 234 | Full-text PDF : | 117 |
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