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Volumn 206, Issue 1, 2007, Pages 196-208

Box integrals

Author keywords

Box integrals; High precision quadrature; Multi dimensional integrals

Indexed keywords

ASYMPTOTIC ANALYSIS; CODES (SYMBOLS); COMBINATORIAL MATHEMATICS; CONVERGENCE OF NUMERICAL METHODS; STATISTICAL METHODS; THEOREM PROVING;

EID: 34249335355     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.06.010     Document Type: Article
Times cited : (41)

References (17)
  • 2
    • 34249291446 scopus 로고    scopus 로고
    • D.H. Bailey, J.M. Borwein, Highly parallel, high-precision numerical integration, D-drive preprint #294, 2005, also available at 〈http://crd.lbl.gov/∼dhbailey/dhbpapers/quadparallel.pdf〉.
  • 3
    • 34249337896 scopus 로고    scopus 로고
    • D.H. Bailey, J.M. Borwein, Effective error bounds for Euler-Maclaurin-based quadrature schemes, D-drive preprint #297, 2005, also available at 〈http://crd.lbl.gov/∼dhbailey/dhbpapers/em-error.pdf〉.
  • 4
    • 34249324258 scopus 로고    scopus 로고
    • D.H. Bailey, J.M. Borwein, R.E. Crandall, Box integral data, 2006, available at 〈http://crd.lbl.gov/∼dhbailey/dhbpapers/box-data.pdf〉.
  • 5
    • 34249306374 scopus 로고    scopus 로고
    • D.H. Bailey, J.M. Borwein, R.E. Crandall, Integrals of the Ising class, preprint, 2006, available at 〈http://crd.lbl.gov/∼dhbailey/dhbpapers/Ising.pdf〉.
  • 7
    • 27844549343 scopus 로고    scopus 로고
    • A comparison of three high-precision quadrature schemes
    • also available at 〈http://crd.lbl.gov/∼dhbailey/dhbpapers/quadrature.pdf〉
    • Bailey D.H., Li X.S., and Jeyabalan K. A comparison of three high-precision quadrature schemes. Experimental Math. 14 (2005) 317-329. http://crd.lbl.gov/dhbailey/dhbpapers/quadrature.pdf also available at 〈http://crd.lbl.gov/∼dhbailey/dhbpapers/quadrature.pdf〉
    • (2005) Experimental Math. , vol.14 , pp. 317-329
    • Bailey, D.H.1    Li, X.S.2    Jeyabalan, K.3
  • 8
    • 34249315274 scopus 로고    scopus 로고
    • J.M. Borwein, D.H. Bailey, Mathematics by Experiment, AK Peters, USA, 2003 〈http://www.experimentalmath.info〉.
  • 12
    • 4143113530 scopus 로고
    • Average distance between two points in a box
    • Robbins D. Average distance between two points in a box. Amer. Math. Monthly 85 (1978) 278
    • (1978) Amer. Math. Monthly , vol.85 , pp. 278
    • Robbins, D.1
  • 13
    • 0038829888 scopus 로고
    • Numerical integration of analytic functions
    • Schwartz C. Numerical integration of analytic functions. J. Comput. Phys. 4 (1969) 19-29
    • (1969) J. Comput. Phys. , vol.4 , pp. 19-29
    • Schwartz, C.1
  • 14
    • 0010118546 scopus 로고
    • Quadrature formulas obtained by variable transformation
    • Takahasi H., and Mori M. Quadrature formulas obtained by variable transformation. Numer. Math. 21 (1973) 206-219
    • (1973) Numer. Math. , vol.21 , pp. 206-219
    • Takahasi, H.1    Mori, M.2
  • 15
    • 34249289192 scopus 로고    scopus 로고
    • The area of a random triangle
    • Trott M. The area of a random triangle. Mathematica J. 7 (1998) 189-198
    • (1998) Mathematica J. , vol.7 , pp. 189-198
    • Trott, M.1
  • 16
    • 34249322513 scopus 로고    scopus 로고
    • M. Trott, private communication, 2005.
  • 17
    • 34249334098 scopus 로고    scopus 로고
    • E. Weisstein, 〈http://mathworld.wolfram.com/HypercubeLinePicking.html〉


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.