Abstract
This paper points out some disadvantages ofM. Levinson's extension of the Galerkin and Ritz methods. In particular M. Levinson's method, as shown by his treatment of Beck's problem, gives an equivalent variational problem only by prescribing an arbitrary restriction. The numerical results obtained byM. Levinson do not convincingly demonstrate the usefulness of his method, because the underlying algebraic equations happen to coincide with those which may be obtained by a different well-founded method.
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