ON WEAK STABILITY OF DISCRETIZATION FOR OPERATOR EQUATION

Bin Guo, Kuo Po-Hsiu · 1989

The discretization of operator equation is considered. The weak stability is defined, which is the generalization of stabilities by Strang, Stetter, Keller and the author. Under some conditions, such stability implies the existence of approximate solution and the convergence for the operator equation with isolated solutions. Two examples show how to. use the theorems here.

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