【摘 要】
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We propose a new computational techique for large systems of kinetic equations of aggregation and fragmentation processes.In contrast to standard Monte Carlo methods,we solve the grid equations by the
【机 构】
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Lomonosov Moscow State Univ. Inst.of Numerical Ma
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We propose a new computational techique for large systems of kinetic equations of aggregation and fragmentation processes.In contrast to standard Monte Carlo methods,we solve the grid equations by the predictorcorrector scheme.Using low-rank approximations of the solution and as well of the coagulation kernel,we tremendously accelerate every time step keeping the same level of accuracy.The complexity is reduced from O(N2)to O(N log N),where N is the number of nodes.We prove that our method applies to problems with typical coagulation kernels.The results of simulation are demostrated on one-dimensional models,however the tecnique can be generalized to the multidimensional case.
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