Geodesic
The moment method of Lebesgue aggregation and spectrum recovery in particle transport problems
Matematičeskoe modelirovanie, Tome 28 (2016) no. 11, pp. 33-54

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The method of spectral moments that simplifies the calculation of nonmonotonic multiresonance spectra of neutrons or photons in the problems of nuclear technologies, radiating plasma and atmospheric radiation is developed. The particle distribution function is expanded in basis functions that depend on the particle energy and the resonance structure of the cross sections, and ensure fast convergence of the expansion. Efficient way of finding the series expansion coefficients (spectral moments) based on the solution of the transport equation for the Lebesgue distribution of particles on the system of Lebesgue sets is described. Fast convergence of the expansion is shown in test problems.
Mots-clés : particle transport, Lebesgue integral
Keywords: spectrum aggregation, spectrum recovery, method of moments, nuclear engeneering, radiating plasma. 
@article{MM_2016_28_11_a2,
     author = {A. V. Shilkov},
     title = {The moment method of {Lebesgue} aggregation and spectrum recovery in particle transport problems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {33--54},
     publisher = {mathdoc},
     volume = {28},
     number = {11},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2016_28_11_a2/}
}
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A. V. Shilkov. The moment method of Lebesgue aggregation and spectrum recovery in particle transport problems. Matematičeskoe modelirovanie, Tome 28 (2016) no. 11, pp. 33-54. http://geodesic.mathdoc.fr/item/MM_2016_28_11_a2/