2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80259The 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.28 pages, 22 figures. Version with high resolution figures available from http://www.math.colostate.edu/~deconinc/papers.html. Some typos corrected in web addressesExactly Solvable and Integrable SystemsClassical Analysis and ODEstext