Uniformly enclosing discretization methods and grid generation for semilinear boundary value problems with first order terms
Aplikace matematiky (1989)
- Volume: 34, Issue: 4, page 274-284
- ISSN: 0862-7940
Access Full Article
top
Abstract
topHow to cite
topRoos, Hans-Görg. "Uniformly enclosing discretization methods and grid generation for semilinear boundary value problems with first order terms." Aplikace matematiky 34.4 (1989): 274-284. <http://eudml.org/doc/15583>.
@article{Roos1989,
abstract = {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.},
author = {Roos, Hans-Görg},
journal = {Aplikace matematiky},
keywords = {uniformly enclosing discretization methods; grid generation; semilinear; enclosure; boundary value problem; uniformly enclosing discretization methods; grid generation; semilinear; enclosure},
language = {eng},
number = {4},
pages = {274-284},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Uniformly enclosing discretization methods and grid generation for semilinear boundary value problems with first order terms},
url = {http://eudml.org/doc/15583},
volume = {34},
year = {1989},
}
TY - JOUR
AU - Roos, Hans-Görg
TI - Uniformly enclosing discretization methods and grid generation for semilinear boundary value problems with first order terms
JO - Aplikace matematiky
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 4
SP - 274
EP - 284
AB - 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.
LA - eng
KW - uniformly enclosing discretization methods; grid generation; semilinear; enclosure; boundary value problem; uniformly enclosing discretization methods; grid generation; semilinear; enclosure
UR - http://eudml.org/doc/15583
ER -
References
top- 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. (1975)
- Ch. Großmann M. Krätzschmar H.-G. Roos, 10.1007/BF01389432, Numer. Math., 49 (1986), 95-110. (1986) MR0847020DOI10.1007/BF01389432
- Ch. Großmann M. Krätzschmar H.-G. Roos, Uniformly enclosing discretization methods of high order for boundary value problems, (submitted to Math. Comput.).
- Ch. Großmann H.-G. Roos, 10.1093/imanum/6.4.421, IMA J. Numer. Anal. 6 (1986), 421-432. (1986) MR0968268DOI10.1093/imanum/6.4.421
- 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. (1987) MR0950227
- M. Krätzschmar, Iterationsverfahren zur Lösung schwach nichtlinearer elliptischer Randwertaufgaben mit monotoner Lösungseinschließung, Diss., TU Dresden 1983. (1983)
- K. Nickel, 10.1007/BF02252131, Computing 23 (1979), 247-265. (1979) Zbl0404.65050MR0620075DOI10.1007/BF02252131
Citations in EuDML Documents
topNotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.