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working paper
MATHICSE Technical Report : Sparse spectral approximations for computing polynomial functionals
July 12, 2012
We give a new fast method for evaluating sprectral approximations of nonlinear polynomial functionals. We prove that the new algorithm is convergent if the functions considered are smooth enough, under a general assumption on the spectral eigenfunctions that turns out to be satisfied in many cases, including the Fourier and Hermite basis.
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25.2012_EF-FN-CV.pdf
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