Geodesic
Kinetic approach in hemodynamics
Matematičeskoe modelirovanie, Tome 12 (2000) no. 11, pp. 115-127.

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In this work we discuss the kinetic approach to the simulation of hemodynamics in the elastic vessels due to the quasi one-dimensional approximation. New numerical algorithm is constructed based on particles method for the kinetic equation. The convergence of the method is proved for the model problem . Test results obtained by the method are compared with difference scheme. 
@article{MM_2000_12_11_a8,
     author = {K. V. Gavrylyuk},
     title = {Kinetic approach in hemodynamics},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {115--127},
     publisher = {mathdoc},
     volume = {12},
     number = {11},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2000_12_11_a8/}
}
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K. V. Gavrylyuk. Kinetic approach in hemodynamics. Matematičeskoe modelirovanie, Tome 12 (2000) no. 11, pp. 115-127. http://geodesic.mathdoc.fr/item/MM_2000_12_11_a8/