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- W1977451066 abstract "In this work, we focus on the development of a novel polynomial approximation method, which is based on orthogonal expansion. Although the basis set elements of the expansion will be chosen polynomials or multinomials to this end, the method is open to any kind of complete set of basis functions. The projection integrals are replaced with certain quadratic forms over the matrix representation of the independent variable. This brings the universality and reduces the computational complexity drastically. Hence, it can be conjectured that this method will find quite large area of applicability. Another advantage of this technique is, that it is not limited to univariate cases, and can be used for the multivariate cases by taking necessary precautions to get efficiency" @default.
- W1977451066 created "2016-06-24" @default.
- W1977451066 creator A5019117378 @default.
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- W1977451066 date "2008-01-01" @default.
- W1977451066 modified "2023-10-18" @default.
- W1977451066 title "An Integration Free Universal Approximation Method Based on Orthogonal Polynomials" @default.
- W1977451066 cites W179004105 @default.
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- W1977451066 doi "https://doi.org/10.1063/1.2990997" @default.
- W1977451066 hasPublicationYear "2008" @default.
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