The optimal quadratures for numerical solving of integral Volterra equations and the Cauchy problem
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 4 (2001) no. 2, pp. 179-184
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The equations for optimal subgrid points and quadrature coefficients in the problems of numerical solution of integral Volterra equations and the Cauchy problem are obtained. The optimality is regarded as the minimum of the sum of squares of approximation errors in all subgrid points under condition that the last subgrid point is equal to the right end of the subgrid. The optimal points are numerically found for various numbers of subgrid points.
@article{SJVM_2001_4_2_a5,
author = {A. O. Savchenko},
title = {The optimal quadratures for numerical solving of integral {Volterra} equations and the {Cauchy} problem},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {179--184},
publisher = {mathdoc},
volume = {4},
number = {2},
year = {2001},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2001_4_2_a5/}
}
TY - JOUR AU - A. O. Savchenko TI - The optimal quadratures for numerical solving of integral Volterra equations and the Cauchy problem JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2001 SP - 179 EP - 184 VL - 4 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2001_4_2_a5/ LA - ru ID - SJVM_2001_4_2_a5 ER -
%0 Journal Article %A A. O. Savchenko %T The optimal quadratures for numerical solving of integral Volterra equations and the Cauchy problem %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2001 %P 179-184 %V 4 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2001_4_2_a5/ %G ru %F SJVM_2001_4_2_a5
A. O. Savchenko. The optimal quadratures for numerical solving of integral Volterra equations and the Cauchy problem. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 4 (2001) no. 2, pp. 179-184. http://geodesic.mathdoc.fr/item/SJVM_2001_4_2_a5/