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Article overview
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Computing Riemann Theta Functions | Bernard Deconinck
; Matthias Heil
; Alexander Bobenko
; Mark van Hoeij
; Markus Schmies
; | Date: |
10 Jun 2002 | Subject: | Exactly Solvable and Integrable Systems; Classical Analysis and ODEs | nlin.SI math.CA | Abstract: | The Riemann theta function is a complex-valued function of g complex variables. It appears in the construction of many (quasi-) periodic solutions of various equations of mathematical physics. In this paper, algorithms for its computation are given. First, a formula is derived allowing the pointwise approximation of Riemann theta functions, with arbitrary, user-specified precision. This formula is used to construct a uniform approximation formula, again with arbitrary precision. | Source: | arXiv, nlin.SI/0206009 | Other source: | [GID 43335] nlin.SI/0206009 | Services: | Forum | Review | PDF | Favorites |
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