论文信息 - Computation of Jn(x) by numerical integration - 字舞流文

Computation of Jn(x) by numerical integration

It is shown to be practical to compute <italic>J<subscrpt>n</subscrpt></italic>(<italic>x</italic>) by numerical integration of its integral representation using the trapezoidal rule. The error in this approximation was studied empirically.

J. P. Kohli | A. H. Stroud | A. Stroud | J. Kohli

[1] Ikuo Nakata,et al. On compiling algorithms for arithmetic expressions , 1967, CACM.

[2] M. Goldstein,et al. Recurrence techniques for the calculation of bessel functions , 1959, ACM '59.

[3] John Todd,et al. The condition of certain matrices II , 1954 .

[4] P. Henrici. Discrete Variable Methods in Ordinary Differential Equations , 1962 .

[5] Irene A. Stegun,et al. Generation of Bessel functions on high speed computers , 1957 .

[6] R. M. Thaler,et al. Recurrence techniques for the calculation of Bessel functions , 1959 .

[7] Henry E. Fettis. Numerical calculation of certain definite integrals by Poisson’s summation formula , 1955 .

[8] James Stafford. Certification of algorithm 21 [S17]: Bessel function for a set of integer orders , 1965, CACM.

[9] L. M. M.-T.. Finite Differences and Difference Equations in the Real Domain , 1948, Nature.

[10] J. Gillis,et al. Matrix Iterative Analysis , 1961 .