Regularization of Difference Schemes"'
نویسنده
چکیده
Difference schemes are treated as operator equations in real linear normed space [l, 23. Twoand three-layer schemes are discussed in real Hilbert space (more precisely, in unitary space, since no use is made of completeness). Stable schemes are classified. Schemes are written in a canonical form that enables stability operators, or what will be termed regularizers, to be introduced. Sufficient conditions for stability only weakly restrict the arbitrary selection of these stability operators. By varying the regularizers but remaining in the class of stable schemes, economic SCh8meS of bounded order of accuracy c8n be obtained.
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