Double exponential formulas for numerical indefinite integration

Journal of Computational and Applied Mathematics

Volumn 161, Issue 2, 2003, Pages 431-448

  Muhammad, Mayinur ^a   Mori, Masatake ^a  

^a TOKYO DENKI UNIVERSITY   (Japan)

Author keywords

Double exponential transformation; Indefinite integration; Sinc method

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; ERROR ANALYSIS; MATHEMATICAL TRANSFORMATIONS;

ANALYTIC FUNCTION;

CONVERGENCE OF NUMERICAL METHODS;

FORMULA; MATHEMATICAL ANALYSIS;

EID: 0242708959     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.05.002     Document Type: Article

References (4)

1. Haber S. Two formulas for numerical indefinite integration Math. Comp. 60 1993 279-296
2. M. Mori, M. Muhammad, A method for numerical evaluation of indefinite integrals by the double exponential transformation, Proceedings of 2002 Symposium on Applied Mathematics, Ryukoku University, Ohtsu, December 19-21, 2002 (in Japanese).
3. Sugihara M. Optimality of the double exponential formula-functional analysis approach Numer. Math. 75 1997 379-395
4. Takahasi H. Mori M. Double exponential formulas for numerical integration Publ. Res. Inst. Math. Sci. 9 1974 721-741