Abstract
Sets of coefficients for four finite difference methods of numerical integration are presented that will integrate without truncation error products of fourier and ordinary polynomials. These sets are formulated such that they are free from computational difficulties.
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Part of this work was formulated earlier by the author in a dissertation presented to Yale University in partial fulfillment for the degree of Doctor of Philosophy.
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Bettis, D.G. Numerical integration of products of fourier and ordinary polynomials. Numer. Math. 14, 421–434 (1970). https://doi.org/10.1007/BF02163028
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DOI: https://doi.org/10.1007/BF02163028