Hj. Kuo et Ns. Trudinger, ON THE DISCRETE MAXIMUM PRINCIPLE FOR PARABOLIC DIFFERENCE-OPERATORS, Modelisation mathematique et analyse numerique, 27(6), 1993, pp. 719-737
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 di
fference inequalities with random coefficients.