On computation of the Bessel function by summing up the series
E.A. Karatsuba
Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russia
Keywords: функции Бесселя, быстрые алгоритмы, сложность вычисления, метод БВЕ, большой аргумент, эффективное вычисление, Bessel functions, fast algorithms, computational complexity, FEE method, large argument, efficient calculation
Abstract
Two algorithms for an effective calculation of the Bessel function are presented: a fast algorithm with an increasing accuracy of computation and a computational algorithm for the case of a large argument of the Bessel function.
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