Elliptic spline functions and the Rayleigh-Ritz-Galerkin method

Author:
Martin H. Schultz

Journal:
Math. Comp. **24** (1970), 65-80

MSC:
Primary 65.62; Secondary 41.00

MathSciNet review:
0264857

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Abstract | References | Similar Articles | Additional Information

Abstract: Error estimates for the Rayleigh-Ritz-Galerkin method, using finite-dimensional spline type spaces, for a class of nonlinear two-point boundary value problems are discussed. The results of this paper extend and improve recent corresponding results of B. L. Hulme, F. M. Perrin, H. S. Price, and R. S. Varga.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1970-0264857-9

Keywords:
Rayleigh-Ritz-Galerkin method,
variational method,
spline space,
two-point boundary value problem,
spline interpolation

Article copyright:
© Copyright 1970
American Mathematical Society