Geodesic
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.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@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. http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104356/

Cité par Sources :