Discrete Maximum Principle and Adequate Discretizations of Linear Parabolic Problems

Abstract

In this paper, we analyze the connections between the different qualitative properties of numerical solutions of linear parabolic problems with Dirichlet-type boundary condition. First we formulate the qualitative properties for the differential equations and shad light on their relations. Then we show how the well-known discretization schemes can be… (More)
DOI: 10.1137/050627241

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