Techniques for Manipulation of Long Poisson Series

Details Techniques for Manipulation of Long Poisson Series Techniques for Manipulation of Long Poisson Series

Oct 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970saosr.328.....c&link_type=abstract

SAO Special Report #328 (1970)

Physics

2

Scientific paper

We consider some algorithms that manipulate long trigonometric series of the form Σ Ai scn (Bi), where Ai and Bi are symbolic expressions and scn means sine or cosinei. Section 1 describes an efficient algorithm for converting trigonometric polynomials to trigonometric series. The results of Section 2 are independent of the order of terms of trigonometric series. Physically interesting trigonometric series are often very long. Section 3 describes efficient algorithms for Section 2 and the multiplication, addition, and differentiation of long series. These techniques are used extensively in SPASM (Hall and Cherniack, 1969).

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