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Volumn 42, Issue , 2011, Pages 267-282

Towards a general error theory of the trapezoidal rule

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EID: 84976343087     PISSN: 19316828     EISSN: 19316836     Source Type: Book Series    
DOI: 10.1007/978-1-4419-6594-3_17     Document Type: Chapter
Times cited : (27)

References (16)
  • 4
    • 84953841336 scopus 로고
    • Methods of Numerical Integration, 2nd edition. Academic Press, San Diego
    • Davis, P.J., Rabinowitz, P.: Methods of Numerical Integration, 2nd edition. Academic Press, San Diego, 512 pp. (1984)
    • (1984) 512 Pp
    • Davis, P.J.1    Rabinowitz, P.2
  • 5
    • 0004145430 scopus 로고
    • Erd´elyi, A., Dover, New York
    • Erd´elyi, A.: Asymptotic Expansions. Dover, New York (1956)
    • (1956) Asymptotic Expansions
  • 6
    • 0042696138 scopus 로고    scopus 로고
    • Computing the Hilbert transform of the generalized Laguerre and Hermite weight functions
    • Gautschi, W., Waldvogel, J.: Computing the Hilbert transform of the generalized Laguerre and Hermite weight functions. BIT 41, 490–503 (2001)
    • (2001) BIT , vol.41 , pp. 490-503
    • Gautschi, W.1    Waldvogel, J.2
  • 7
    • 84958734822 scopus 로고
    • The evaluation of integrals of the form Proc
    • Goodwin, E.T.: The evaluation of integrals of the form Proc. Cambr. Philos. Soc. 45, 241–245 (1949)
    • (1949) Cambr. Philos. Soc , vol.45 , pp. 241-245
    • Goodwin, E.T.1
  • 12
    • 0038829888 scopus 로고
    • Numerical integration of analytic functions
    • Schwartz, C.: Numerical integration of analytic functions. J. Comput. Phys. 4, 19–29 (1969)
    • (1969) J. Comput. Phys , vol.4 , pp. 19-29
    • Schwartz, C.1
  • 13
    • 0004114208 scopus 로고
    • Wiley, New York, 517 pp. J. Waldvogel. Original edition: Numerische Mathematik, Teubner, Leipzig
    • Schwarz, H.R.: Numerical Analysis. Wiley, New York, 517 pp. (1989). In particular: Numerical Quadrature, 330–350, by J. Waldvogel. Original edition: Numerische Mathematik, Teubner, Leipzig, 496 pp. (1986)
    • (1989) Numerical Analysis , pp. 496
    • Schwarz, H.R.1
  • 14
    • 0011356183 scopus 로고
    • Integration formulae based on the trapezoidal formula
    • Stenger, F.: Integration formulae based on the trapezoidal formula. J. Inst. Math. Appl. 12, 103–114 (1973)
    • (1973) J. Inst. Math. Appl , vol.12 , pp. 103-114
    • Stenger, F.1
  • 16
    • 0010118546 scopus 로고
    • Quadrature formulas obtained by variable transformation
    • Takahasi, H., Mori, M.: Quadrature formulas obtained by variable transformation. Numer. Math. 21, 206–219 (1973)
    • (1973) Numer. Math , vol.21 , pp. 206-219
    • Takahasi, H.1    Mori, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.