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Volumn 14, Issue 3, 2005, Pages 317-329

A comparison of three high-precision quadrature schemes

Author keywords

Arbitrary precision; Numerical integration; Numerical quadrature

Indexed keywords


EID: 27844549343     PISSN: 10586458     EISSN: 1944950X     Source Type: Journal    
DOI: 10.1080/10586458.2005.10128931     Document Type: Article
Times cited : (101)

References (16)
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    • David H. Bailey. “Multiprecision Translation and Execution of Fortran Programs.” ACM Transactions on Mathematical Software 19 (1993), 288–319.
    • (1993) ACM Transactions on Mathematical Software , vol.19 , pp. 288-319
    • Bailey, D.H.1
  • 6
    • 0035595042 scopus 로고    scopus 로고
    • Parallel Integer Relation Detection: Techniques and Applications
    • David H. Bailey and David Broadhurst. “Parallel Integer Relation Detection: Techniques and Applications.” Mathematics of Computation 70:236 (2000), 1719–1736.
    • (2000) Mathematics of Computation , vol.70 , Issue.236 , pp. 1719-1736
    • Bailey, D.H.1    Broadhurst, D.2
  • 7
    • 13644253110 scopus 로고    scopus 로고
    • Technical Report LBNL- 53651, 2002. Software and documentation available from World Wide Web
    • David H. Bailey, Yozo Hida, Xiaoye S. Li, and Brandon Thompson. “ARPREC: An Arbitrary Precision Computation Package.” Technical Report LBNL- 53651, 2002. Software and documentation available from World Wide Web (http://crdl.bl.gov/∼dhbailey/ mpdist).
    • ARPREC: An Arbitrary Precision Computation Package
    • Bailey, D.H.1    Hida, Y.2    Li, X.S.3    Thompson, B.4
  • 8
    • 84968501786 scopus 로고
    • On the Evaluation of Integrals Related to the Error Function
    • C. Chiarella and A. Reichel. “On the Evaluation of Integrals Related to the Error Function.” Mathematics of Computation 22 (1968), 137–143.
    • (1968) Mathematics of Computation , vol.22 , pp. 137-143
    • Chiarella, C.1    Reichel, A.2
  • 11
    • 0000223746 scopus 로고
    • Calculation of Gauss Quadrature Rules
    • G. H. Golub and J. H. Welsch. “Calculation of Gauss Quadrature Rules.” Mathematics of Computation 22 (1969), 221–230.
    • (1969) Mathematics of Computation , vol.22 , pp. 221-230
    • Golub, G.H.1    Welsch, J.H.2
  • 14
    • 0040647285 scopus 로고
    • Developments in the Double Exponential Formula for Numerical Integration
    • Berlin: Springer-Verlag
    • M. Mori. “Developments in the Double Exponential Formula for Numerical Integration.” In Proceedings of the International Congress of Mathematicians, pp. 1585–1594. Berlin: Springer-Verlag, 1991.
    • (1991) Proceedings of the International Congress of Mathematicians , pp. 1585-1594
    • Mori, M.1
  • 16
    • 84996018880 scopus 로고
    • Double Exponential Formulas for Numerical Integration
    • H. Takahasi and M. Mori. “Double Exponential Formulas for Numerical Integration.” Publications of RIMS, Kyoto University 9 (1974), 721–741.
    • (1974) Publications of RIMS, Kyoto University , vol.9 , pp. 721-741
    • Takahasi, H.1    Mori, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.