An economical variant of the numerical inverse Laplace transform
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 992-994
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A modified form of Papoulis's trigonometric algorithm for Laplace inversion is described; it amounts to summation of a finite number of values of the transform with previously computed coefficients, and avoids computer evaluation of elementary functions, thus minimizing the number of operations when finding. the original approximately. The rounding errors are analyzed.
@article{ZVMMF_1983_23_4_a23,
author = {N. M. Ivanov and V. P. Muzychenko},
title = {An economical variant of the numerical inverse {Laplace} transform},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {992--994},
publisher = {mathdoc},
volume = {23},
number = {4},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a23/}
}
TY - JOUR AU - N. M. Ivanov AU - V. P. Muzychenko TI - An economical variant of the numerical inverse Laplace transform JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1983 SP - 992 EP - 994 VL - 23 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a23/ LA - ru ID - ZVMMF_1983_23_4_a23 ER -
%0 Journal Article %A N. M. Ivanov %A V. P. Muzychenko %T An economical variant of the numerical inverse Laplace transform %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1983 %P 992-994 %V 23 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a23/ %G ru %F ZVMMF_1983_23_4_a23
N. M. Ivanov; V. P. Muzychenko. An economical variant of the numerical inverse Laplace transform. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 992-994. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a23/