Numerical iterated integration based on the double exponential transformation

Japan Journal of Industrial and Applied Mathematics

Volumn 22, Issue 1, 2005, Pages 77-86

  Muhammad, Mayinur ^a   Mori, Masatake ^a  

^a TOKYO DENKI UNIVERSITY   (Japan)

Author keywords

DE formula; Double exponential formula; Double exponential transformation; Iterated integral; Numerical integration

Indexed keywords

EID: 15944414218     PISSN: 09167005     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03167477     Document Type: Article

References (5)

1. S. Haber, Two formulas for numerical indefinite integration. Math. Comp., 60 (1993), 279-296.
2. M. Muhammad and M. Mori, Double exponential formulas for numerical indefinite integration. J. Comput. Appl. Math., 161 (2003), 431-448.
3. M. Mori and M. Muhammad, Numerical indefinite integration by the double exponential transformation (in Japanese). Trans. Japan Soc. Indust. Appl. Math., 13 (2003), 361-366.
4. M. Mori and M. Muhammad, Numerical iterated integration by the double exponential transformation (in Japanese). Trans. Japan Soc. Indust. Appl. Math., 13 (2003), 485-493.
5. H. Takahasi and M. Mori, Double exponential formulas for numerical integration. Publ. RIMS, Kyoto Univ., 9 (1974), 721-741.