On the convergence of numerical methods for solving a Volterra bilinear equations of the first kind
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 8, pp. 1378-1386
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A justification is given for the convergence of quadratures (namely, the right rectangle and midpoint rules) for the numerical solution of a Volterra bilinear equation of the first kind. Numerical results for some benchmark problems are presented.
@article{ZVMMF_2007_47_8_a9,
author = {A. S. Apartsyn},
title = {On the convergence of numerical methods for solving {a~Volterra} bilinear equations of the first kind},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1378--1386},
publisher = {mathdoc},
volume = {47},
number = {8},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_8_a9/}
}
TY - JOUR AU - A. S. Apartsyn TI - On the convergence of numerical methods for solving a Volterra bilinear equations of the first kind JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2007 SP - 1378 EP - 1386 VL - 47 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_8_a9/ LA - ru ID - ZVMMF_2007_47_8_a9 ER -
%0 Journal Article %A A. S. Apartsyn %T On the convergence of numerical methods for solving a Volterra bilinear equations of the first kind %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2007 %P 1378-1386 %V 47 %N 8 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_8_a9/ %G ru %F ZVMMF_2007_47_8_a9
A. S. Apartsyn. On the convergence of numerical methods for solving a Volterra bilinear equations of the first kind. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 8, pp. 1378-1386. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_8_a9/