Simultaneous, Successive and Alternating Direction Iteration Schemes (Classic Reprint) - Tapa dura

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The linear systems approximating- in the lorest order of approximation- the 2pth order elliptic differential equation is derivedo The connection between the simultaneous and successive iteration schemes is studied. In the case of difference equations in two dimensions which are separable the simultaneous, successive and some alternating direction Iteration schemes are studied in detailo In particular the eigenvalues and eigenvectors of the error matrix are explicitly obtained.

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