This article presents a method for treating the doubly infinite system of simultaneous equations encountered in the small-deflection bending of clamped plates, rectangular plates in a stale of plane-stress, and certain other problems in elasticity. This method consists essentially of satisfying the boundary conditions at discrete points rather than continuously along the boundaries. A numerical example for the clamped plate problem indicates that the method may give faster convergence than the usual method of treating the equations, in some cases.

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