Uniformly enclosing discretization methods and grid generation for semilinear boundary value problems with first order terms
Applications of Mathematics, Tome 34 (1989) no. 4, pp. 274-284
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The paper deals with uniformly enclosing discretization methods of the first order for semilinear boundary value problems. Some fundamental properties of this discretization technique (the enclosing property, convergence, the inverse-monotonicity) are proved. A feedback grid generation principle using information from the lower and upper solutions is presented.
DOI :
10.21136/AM.1989.104356
Classification :
34B15, 65L10, 65L50
Keywords: uniformly enclosing discretization methods; grid generation; semilinear; enclosure; boundary value problem
Keywords: uniformly enclosing discretization methods; grid generation; semilinear; enclosure; boundary value problem
@article{10_21136_AM_1989_104356,
author = {Roos, Hans-G\"org},
title = {Uniformly enclosing discretization methods and grid generation for semilinear boundary value problems with first order terms},
journal = {Applications of Mathematics},
pages = {274--284},
publisher = {mathdoc},
volume = {34},
number = {4},
year = {1989},
doi = {10.21136/AM.1989.104356},
mrnumber = {1008580},
zbl = {0685.65069},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104356/}
}
TY - JOUR AU - Roos, Hans-Görg TI - Uniformly enclosing discretization methods and grid generation for semilinear boundary value problems with first order terms JO - Applications of Mathematics PY - 1989 SP - 274 EP - 284 VL - 34 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104356/ DO - 10.21136/AM.1989.104356 LA - en ID - 10_21136_AM_1989_104356 ER -
%0 Journal Article %A Roos, Hans-Görg %T Uniformly enclosing discretization methods and grid generation for semilinear boundary value problems with first order terms %J Applications of Mathematics %D 1989 %P 274-284 %V 34 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104356/ %R 10.21136/AM.1989.104356 %G en %F 10_21136_AM_1989_104356
Roos, Hans-Görg. Uniformly enclosing discretization methods and grid generation for semilinear boundary value problems with first order terms. Applications of Mathematics, Tome 34 (1989) no. 4, pp. 274-284. doi: 10.21136/AM.1989.104356
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