Matematičeskoe modelirovanie, Tome 5 (1993) no. 10, pp. 79-90
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P. N. Vabishchevich. Finite-difference methods for computing small oscillations of an incompressible fluid. Matematičeskoe modelirovanie, Tome 5 (1993) no. 10, pp. 79-90. http://geodesic.mathdoc.fr/item/MM_1993_5_10_a6/
@article{MM_1993_5_10_a6,
author = {P. N. Vabishchevich},
title = {Finite-difference methods for computing small oscillations of an incompressible fluid},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {79--90},
year = {1993},
volume = {5},
number = {10},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_1993_5_10_a6/}
}
TY - JOUR
AU - P. N. Vabishchevich
TI - Finite-difference methods for computing small oscillations of an incompressible fluid
JO - Matematičeskoe modelirovanie
PY - 1993
SP - 79
EP - 90
VL - 5
IS - 10
UR - http://geodesic.mathdoc.fr/item/MM_1993_5_10_a6/
LA - ru
ID - MM_1993_5_10_a6
ER -
%0 Journal Article
%A P. N. Vabishchevich
%T Finite-difference methods for computing small oscillations of an incompressible fluid
%J Matematičeskoe modelirovanie
%D 1993
%P 79-90
%V 5
%N 10
%U http://geodesic.mathdoc.fr/item/MM_1993_5_10_a6/
%G ru
%F MM_1993_5_10_a6
Small oscillations of an incompressible fluid with a free boundary are considered. The Laplace equation is satisfied in the calculation domain, but second-order time-dependent boundary conditions are imposed on a free boundary. Three-level difference schemes are constructed, stability and convergence problems are examined and test predictions are provided.