Convergence of multistep methods for systems of ordinary differential equations with parameters
Applications of Mathematics, Tome 32 (1987) no. 4, pp. 257-270
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The author considers the convergence of quasilinear nonstationary multistep methods for systems of ordinary differential with parameters. Sufficient conditions for their convergence are given. The new numerical method is tested for two examples and it turns out to be a little better than the Hamming method.
DOI :
10.21136/AM.1987.104257
Classification :
34B15, 65L10
Keywords: quasilinear nonstationary multistep methods; convergence; Hamming method
Keywords: quasilinear nonstationary multistep methods; convergence; Hamming method
@article{10_21136_AM_1987_104257,
author = {Jankowski, Tadeusz},
title = {Convergence of multistep methods for systems of ordinary differential equations with parameters},
journal = {Applications of Mathematics},
pages = {257--270},
publisher = {mathdoc},
volume = {32},
number = {4},
year = {1987},
doi = {10.21136/AM.1987.104257},
mrnumber = {0897830},
zbl = {0634.65063},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104257/}
}
TY - JOUR AU - Jankowski, Tadeusz TI - Convergence of multistep methods for systems of ordinary differential equations with parameters JO - Applications of Mathematics PY - 1987 SP - 257 EP - 270 VL - 32 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104257/ DO - 10.21136/AM.1987.104257 LA - en ID - 10_21136_AM_1987_104257 ER -
%0 Journal Article %A Jankowski, Tadeusz %T Convergence of multistep methods for systems of ordinary differential equations with parameters %J Applications of Mathematics %D 1987 %P 257-270 %V 32 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104257/ %R 10.21136/AM.1987.104257 %G en %F 10_21136_AM_1987_104257
Jankowski, Tadeusz. Convergence of multistep methods for systems of ordinary differential equations with parameters. Applications of Mathematics, Tome 32 (1987) no. 4, pp. 257-270. doi: 10.21136/AM.1987.104257
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