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Mathematics of Computation
Volumn 74, Issue 250, 2005, Pages 655-679
Numerical indefinite integration by double exponential sinc method
Author keywords

Double exponential transformation; Numerical indefinite integration; Sine numerical method
Indexed keywords

EID: 14944370440     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-04-01724-7     Document Type: Article
Times cited : (13)
References (10)
  • 1
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    • (1954) Entire Functions
    • Boas, R.P.1
  • 2
    • 84968488620 scopus 로고
    • Two formulas for numerical indefinite integration
    • MR1149292 (93d:65026)
    • S. Haber, Two formulas for numerical indefinite integration, Math. Comp. 60 (1993), 279-296. MR1149292 (93d:65026)
    • (1993) Math. Comp. , vol.60 , pp. 279-296
    • Haber, S.1
  • 3
    • 84966256774 scopus 로고
    • A sinc approximation for the indefinite integral
    • MR0717703 (85g:65029)
    • R. B. Kearfott, A sinc approximation for the indefinite integral, Math. Comp. 41 (1983), 559-572. MR0717703 (85g:65029)
    • (1983) Math. Comp. , vol.41 , pp. 559-572
    • Kearfott, R.B.1
  • 4
    • 0035156140 scopus 로고    scopus 로고
    • The double-exponential transformation in numerical analysis
    • Numerical Analysis in the 20th Century, Vol. V: Quadrature and Orthogonal Polynomials. MR1808579 (2001k:65041)
    • M. Mori and M. Sugihara, The double-exponential transformation in numerical analysis, in: Numerical Analysis in the 20th Century, Vol. V: Quadrature and Orthogonal Polynomials, J. Comput. Appl. Math. 127 (2001), 287-296. MR1808579 (2001k:65041)
    • (2001) J. Comput. Appl. Math. , vol.127 , pp. 287-296
    • Mori, M.1    Sugihara, M.2
  • 5
    • 0242708959 scopus 로고    scopus 로고
    • Double exponential formulas for numerical indefinite integration
    • MR2017024
    • M. Muhammad and M. Mori, Double exponential formulas for numerical indefinite integration, J. Comput. Appl. Math. 181 (2003), 431-448. MR2017024
    • (2003) J. Comput. Appl. Math. , vol.181 , pp. 431-448
    • Muhammad, M.1    Mori, M.2
  • 7
    • 0034276141 scopus 로고    scopus 로고
    • Summary of sinc numerical methods
    • Numerical Analysis in the 20th Century, Vol. I: Approximation theory. MR1780056 (2001d:65018)
    • F. Stenger, Summary of sinc numerical methods, in: Numerical Analysis in the 20th Century, Vol. I: Approximation theory, J. Comput. Appl. Math. 121 (2000), 379-420. MR1780056 (2001d:65018)
    • (2000) J. Comput. Appl. Math. , vol.121 , pp. 379-420
    • Stenger, F.1
  • 8
    • 0031540895 scopus 로고    scopus 로고
    • Optimality of the double exponential formula-functional analysis approach
    • MR1427714 (971:41041)
    • M. Sugihara, Optimality of the double exponential formula-functional analysis approach, Numer. Math. 75 (1997), 379-395. MR1427714 (971:41041)
    • (1997) Numer. Math. , vol.75 , pp. 379-395
    • Sugihara, M.1
  • 9
    • 0037378162 scopus 로고    scopus 로고
    • Near optimality of the sinc approximation
    • MR1954967 (2004a:41026)
    • M. Sugihara, Near optimality of the sinc approximation, Math. Comp. 72 (2003), 767-786. MR1954967 (2004a:41026)
    • (2003) Math. Comp. , vol.72 , pp. 767-786
    • Sugihara, M.1
  • 10
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    • Double exponential formulas for numerical integration
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    • H. Takahasi and M. Mori, Double exponential formulas for numerical integration, Publ. Res. Inst. Math. Sci. Kyoto Univ. 9 (1974), 721-741. MR0347061 (49:11781)
    • (1974) Publ. Res. Inst. Math. Sci. Kyoto Univ. , vol.9 , pp. 721-741
    • Takahasi, H.1    Mori, M.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.