Geodesic
A fast numerical method for solving the Smoluchowski-type kinetic equations of aggregation and fragmentation processes
Numerical methods and programming, Tome 15 (2014) no. 1, pp. 1-8

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A number of models of aggregation-fragmentation processes on the basis of Smoluchowski-type kinetic equations are considered. A new numerical method for the fast solution of this class of problems is proposed. This method allows one to decrease the computational complexity of a problem without loss of accuracy. The application of the method is illustrated by several examples of problems of aggregation-fragmentation kinetics in the cases of interest in practice.
Mots-clés : Smoluchowski equation, discrete convolution.
Keywords: kinetics equations of aggregation and fragmentation processes, predictor-corrector scheme, cross interpolation method, low-rank matrix approximations 
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     author = {S. A. Matveev and E. E. Tyrtyshnikov and A. P. Smirnov and N. V. Brilliantov},
     title = {A fast numerical method for solving the {Smoluchowski-type} kinetic equations of aggregation and fragmentation processes},
     journal = {Numerical methods and programming},
     pages = {1--8},
     publisher = {mathdoc},
     volume = {15},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2014_15_1_a0/}
}
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S. A. Matveev; E. E. Tyrtyshnikov; A. P. Smirnov; N. V. Brilliantov. A fast numerical method for solving the Smoluchowski-type kinetic equations of aggregation and fragmentation processes. Numerical methods and programming, Tome 15 (2014) no. 1, pp. 1-8. http://geodesic.mathdoc.fr/item/VMP_2014_15_1_a0/