Accelerating convergence of eigenfunction expansions

Shaw, J. K.; Johnson, L. W.; Riess, R. D.

doi:10.1090/S0025-5718-1976-0418404-4

Accelerating convergence of eigenfunction expansions
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by J. K. Shaw, L. W. Johnson and R. D. Riess PDF

Math. Comp. 30 (1976), 469-477 Request permission

Abstract:

A general procedure is presented for accelerating the convergence of eigenfunction expansions associated with selfadjoint boundary-value problems. The results obtained reduce, in special cases, to certain well-known methods of acceleration, including the Lanczos representation. The generality of the procedure allows the user to take advantage of structural properties of the expanded function.

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