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Basu, Nirmal Kumar ; Kundu, Madhav Chandra
Some methods of numerical integration over a semi-infinite interval. (English). Aplikace matematiky, vol. 22 (1977), issue 4, pp. 237-243
MSC: 41A55, 65D30 | MR 0438665 | Zbl 0377.65009 | DOI: 10.21136/AM.1977.103700
Summary:
The authors utilize some methods of numerical integration over a finite interval (Clenshaw and Curtic 1960, Filippi 1964, Basu 1971) to solve the quadrature problems over a semi-infinite interval. Technique similar to that presented in the authors' previous paper (Appl. mat. 20 (1975), pp. 216 to 221) has been adopted.
References:
[1] C. W. Clenshaw A. R. Curtis: A method for numerical integration on an automatic computer. Numer. Math. 2 (1960), 197-205. DOI 10.1007/BF01386223 | MR 0117885
[2] S. Filippi: Angenäherte Tschebyscheff-approximation einer Stammfunktion - eine Modifikation des Verfahrens von Clenshaw and Curtis. Numer. Math. 6 (1964), 320-328. DOI 10.1007/BF01386080 | MR 0170472
[3] N. K. Basu: Evaluation of a definite integral using Chebyscheff approximation. Mathematica (Cluj), 13 (36), (1971), 13-23. MR 0303690
[4] N. K. Basu M. C. Kundu: Polynomial approximation and the quadrature scheme over a semi-infinite interval. Apl. mat. 3 (1975), 216 - 221. MR 0371021
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