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},
year = {1989},
volume = {34},
number = {4},
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 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 %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
[1] E. Adams H. Spreuer: Konvergente numerische Schrankenkonstruktionen mit SplineFunktionen für nichtlineare gewöhnliche bzw. liheare parabolische Randwertaufgaben. "Int. Math." (ed: K. Nickel), Berlin, Springer-Verlag 1975.
[2] Ch. Großmann M. Krätzschmar H.-G. Roos: Gleichmäßig einschließende Diskretisierungsverfahren für schwach nichtlineare Randwertaufgaben. Numer. Math., 49 (1986), 95-110. | DOI | MR
[3] Ch. Großmann M. Krätzschmar H.-G. Roos: Uniformly enclosing discretization methods of high order for boundary value problems. (submitted to Math. Comput.).
[4] Ch. Großmann H.-G. Roos: Feedback grid generation via monotone discretization for two-point boundary value problems. IMA J. Numer. Anal. 6 (1986), 421-432. | DOI | MR
[5] Ch. Großmann: Monotone discretization of two-point boundary value problems and related numerical methods. In: Adams, Ansorge, Großmann, Roos (eds.): Discretization of differential equations and enclosures, Akademie-Verlag, Berlin 1987. | MR
[6] M. Krätzschmar: Iterationsverfahren zur Lösung schwach nichtlinearer elliptischer Randwertaufgaben mit monotoner Lösungseinschließung. Diss., TU Dresden 1983.
[7] K. Nickel: The construction of a priori bounds for the solution of a two-point boundary value problem with finite elements I. Computing 23 (1979), 247-265. | DOI | MR | Zbl
Cité par Sources :