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.
Key words:
Bessel functions, fast algorithms, computational complexity, FEE method, large argument, efficient calculation.
Citation:
E. A. Karatsuba, “On computation of the Bessel function by summing up the series”, Sib. Zh. Vychisl. Mat., 22:4 (2019), 453–472; Num. Anal. Appl., 12:4 (2019), 372–387