CONTENTSIntroduction......................................................................................................................................... 5§ 1. A maximum principle for linear mappings.................................................................................... 6§ 2. A maximum principle for nonlinear mappings............................................................................. 9§ 3. A finite difference analogue of a maximum principle for nonlinear elliptic equations.......... 11§ 4. A finite difference scheme of higher order accuracy.................................................................... 16§ 5. A maximum principle for systems of ordinary differential equations....................................... 23§ 6. The method of lines for nonlinear parabolic equations which can be degeneratedto elliptic equations.................................................................................................................................... 27§7. A geometrical interpretation of a maximum principle for a system of differenceequations..................................................................................................................................................... 30§8. A strong maximum principle for an elliptic system of nonlinear equations............................. 33References.................................................................................................................................................. 41
@book{bwmeta1.element.zamlynska-77a1494d-2d2a-4b0e-9f04-3bb289e0b9b7,
author = {Tadeusz Sty\'s},
title = {A discrete maximum principle},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1981},
zbl = {0464.35013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-77a1494d-2d2a-4b0e-9f04-3bb289e0b9b7}
}
Tadeusz Styś. A discrete maximum principle. GDML_Books (1981), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-77a1494d-2d2a-4b0e-9f04-3bb289e0b9b7/