One-step methods for two-point boundary value problems in ordinary differential equations with parameters
Applications of Mathematics, Tome 39 (1994) no. 2, pp. 81-95.
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A general theory of one-step methods for two-point boundary value problems with parameters is developed. On nonuniform nets $h_n$, one-step schemes are considered. Sufficient conditions for convergence and error estimates are given. Linear or quadratic convergence is obtained by Theorem 1 or 2, respectively.
DOI :
10.21136/AM.1994.134246
Classification :
34B15, 65L06, 65L10
Mots-clés : one-step methods; two-point boundary value problems
Mots-clés : one-step methods; two-point boundary value problems
@article{10_21136_AM_1994_134246, author = {Jankowski, Tadeusz}, title = {One-step methods for two-point boundary value problems in ordinary differential equations with parameters}, journal = {Applications of Mathematics}, pages = {81--95}, publisher = {mathdoc}, volume = {39}, number = {2}, year = {1994}, doi = {10.21136/AM.1994.134246}, mrnumber = {1258185}, zbl = {0817.65067}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134246/} }
TY - JOUR AU - Jankowski, Tadeusz TI - One-step methods for two-point boundary value problems in ordinary differential equations with parameters JO - Applications of Mathematics PY - 1994 SP - 81 EP - 95 VL - 39 IS - 2 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134246/ DO - 10.21136/AM.1994.134246 LA - en ID - 10_21136_AM_1994_134246 ER -
%0 Journal Article %A Jankowski, Tadeusz %T One-step methods for two-point boundary value problems in ordinary differential equations with parameters %J Applications of Mathematics %D 1994 %P 81-95 %V 39 %N 2 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134246/ %R 10.21136/AM.1994.134246 %G en %F 10_21136_AM_1994_134246
Jankowski, Tadeusz. One-step methods for two-point boundary value problems in ordinary differential equations with parameters. Applications of Mathematics, Tome 39 (1994) no. 2, pp. 81-95. doi : 10.21136/AM.1994.134246. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134246/
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