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Zbl 0787.65059
Kuo, Hung-Ju; Trudinger, N.S.
On the discrete maximum principle for parabolic difference operators. (English)
[J] RAIRO, Modélisation Math. Anal. Numér. 27, No.6, 719-737 (1993). ISSN 0764-583X

Authors' summary: We derive a discrete analogue for parabolic difference inequalities of the Krylov maximum principle for parabolic differential inequalities. The result embraces both explicit and implicit difference schemes and extends to the parabolic case our previous work on linear elliptic difference inequalities with random coefficients [Math. Comput. 55, No. 191, 37-53 (1990; Zbl 0716.39005)].
[J.Albrycht (Poznań)]

MSC 2000:: *65M06 Finite difference methods (IVP of PDE)
39A10 Difference equations
35K15 Second order parabolic equations, initial value problems

Keywords: parabolic difference inequalities; Krylov maximum principle; explicit and implicit difference schemes; random coefficients

Citations: Zbl 0716.39005

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