Nonreflecting artificial boundary conditions for change of omitted equations with lacunas
Matematičeskoe modelirovanie, Tome 12 (2000) no. 12, pp. 108-127
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Artificial boundary conditions (ABC) are constracted which are equivalent to 3D-wave equation outside of unit sphere. The algorithm for using this ABC is also suggested. It demonstrates the ABC and algorithm are effective for calculations on long time. The ABC and algorithm are based on the method of difference potentials and lacunas of 3D-wave equation solutions.
@article{MM_2000_12_12_a8,
author = {V. S. Ryaben'kii and V. I. Turchaninov and S. V. Tsynkov},
title = {Nonreflecting artificial boundary conditions for change of omitted equations with lacunas},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {108--127},
year = {2000},
volume = {12},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_2000_12_12_a8/}
}
TY - JOUR AU - V. S. Ryaben'kii AU - V. I. Turchaninov AU - S. V. Tsynkov TI - Nonreflecting artificial boundary conditions for change of omitted equations with lacunas JO - Matematičeskoe modelirovanie PY - 2000 SP - 108 EP - 127 VL - 12 IS - 12 UR - http://geodesic.mathdoc.fr/item/MM_2000_12_12_a8/ LA - ru ID - MM_2000_12_12_a8 ER -
%0 Journal Article %A V. S. Ryaben'kii %A V. I. Turchaninov %A S. V. Tsynkov %T Nonreflecting artificial boundary conditions for change of omitted equations with lacunas %J Matematičeskoe modelirovanie %D 2000 %P 108-127 %V 12 %N 12 %U http://geodesic.mathdoc.fr/item/MM_2000_12_12_a8/ %G ru %F MM_2000_12_12_a8
V. S. Ryaben'kii; V. I. Turchaninov; S. V. Tsynkov. Nonreflecting artificial boundary conditions for change of omitted equations with lacunas. Matematičeskoe modelirovanie, Tome 12 (2000) no. 12, pp. 108-127. http://geodesic.mathdoc.fr/item/MM_2000_12_12_a8/