Abstract

In this paper an improved Moore test for the coupled system:f(x, y)=0,g(x, y)=0 is described: x+ is calculated from x and y in a forward-substep, and we use x+ and y to compute y+ in a backward-substep. It is shown that, if x+ ⊂ x, y+ ⊂ y, then a solution of the coupled system (x*,y*) ∈ (x+, y+) exists. On this foundation, we prove convergence of a point iterative algorithm for solving coupled systems.

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