Year: 2012
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 4 : pp. 329–362
Abstract
The paper considers the Krylov-Lanczos and the Eckhoff approximations for recovering a bivariate function using limited number of its Fourier coefficients. These approximations are based on certain corrections associated with jumps in the partial derivatives of the approximated function. Approximation of the exact jumps is accomplished by solution of systems of linear equations along the idea of Eckhoff. Asymptotic behaviors of the approximate jumps and the Eckhoff approximation are studied. Exact constants of the asymptotic errors are computed. Numerical experiments validate theoretical investigations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.3969/j.issn.1672-4070.2012.04.004
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 4 : pp. 329–362
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 34
Keywords: Krylov-Lanczos approximation Eckhoff approximation Bernoulli polynomials convergence acceleration.