Geodesic
Modified splitting method for solving the nonstationary kinetic particle transport equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 8, pp. 1480-1490

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A modified splitting method for solving the nonstationary kinetic equation of particle (neutron) transport without iteration with respect to the collision integral is proposed. According to the modification, the solutions of the first-stage integrodifferential equations and the collision integrals are found using analytical rather than finite-difference methods. The solution method is naturally extended to multidimensional problems and is well suited for massive parallelism. 
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     author = {N. Ya. Moiseev and V. M. Shmakov},
     title = {Modified splitting method for solving the nonstationary kinetic particle transport equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {56},
     number = {8},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_8_a9/}
}
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N. Ya. Moiseev; V. M. Shmakov. Modified splitting method for solving the nonstationary kinetic particle transport equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 8, pp. 1480-1490. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_8_a9/