메뉴 건너뛰기




Volumn 68, Issue 3-4, 1998, Pages 309-322

The numerical evaluation of a class of singular, oscillatory integrals

Author keywords

Numerical integration; Singular oscillatory quadrature

Indexed keywords

MATHEMATICAL TECHNIQUES; FUNCTIONS; INTEGRATION; PROBLEM SOLVING;

EID: 0031606489     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207169808804698     Document Type: Article
Times cited : (3)

References (14)
  • 2
    • 0016506936 scopus 로고
    • Automatic generation of quadrature formulae for oscillatory integrals
    • Alayliogu, A., Evans, G. A. and Hyslop, J. (1975) Automatic generation of quadrature formulae for oscillatory integrals, Comput. J., 18, 173-176.
    • (1975) Comput. J. , vol.18 , pp. 173-176
    • Alayliogu, A.1    Evans, G.A.2    Hyslop, J.3
  • 3
    • 0040070930 scopus 로고
    • The use of Chebyshev series for the evaluation of oscillatory integrals
    • Alaylioglu, A., Evans, G. A. and Hyslop, J. (1976). The use of Chebyshev series for the evaluation of oscillatory integrals, Comput. J., 18, 258 - 267.
    • (1976) Comput. J. , vol.18 , pp. 258-267
    • Alaylioglu, A.1    Evans, G.A.2    Hyslop, J.3
  • 4
    • 0039479206 scopus 로고
    • Evaluation of the integrals of oscillating functions by interpolation at nodes of Gaussian quadratures
    • Bakhvalov, N. S. and Vasiléva, L. G. (1968). Evaluation of the integrals of oscillating functions by interpolation at nodes of Gaussian quadratures, U.S.S.R. Computational Math. and Math. Phys., 8, 241-249.
    • (1968) U.S.S.R. Computational Math. and Math. Phys. , vol.8 , pp. 241-249
    • Bakhvalov, N.S.1    Vasiléva, L.G.2
  • 5
    • 4043156369 scopus 로고
    • A method for the numerical calculation of Founer integrals
    • Clendenin, W. W. (1966). A method for the numerical calculation of Founer integrals, Num. Math., 8, 422-436.
    • (1966) Num. Math. , vol.8 , pp. 422-436
    • Clendenin, W.W.1
  • 8
    • 0005054331 scopus 로고
    • On a quadrature formula for trigonometric integrals
    • Filon, L. N. G. (1928). On a quadrature formula for trigonometric integrals, Proc. Roy. Soc. Edinburgh, 49, 38-47.
    • (1928) Proc. Roy. Soc. Edinburgh , vol.49 , pp. 38-47
    • Filon, L.N.G.1
  • 9
    • 84945710021 scopus 로고
    • A modification of Filon's method for numerical integration
    • Flinn, E. A. (1960). A modification of Filon's method for numerical integration, J.A.C.M., 7, 181-184.
    • (1960) J.A.C.M. , vol.7 , pp. 181-184
    • Flinn, E.A.1
  • 11
    • 0347632831 scopus 로고
    • Adjusted forms of the Fourier coefficient asymptotic expansion and applications in numerical quadrature
    • Lyness, J. N. (1971). Adjusted forms of the Fourier coefficient asymptotic expansion and applications in numerical quadrature, Math. Comp., 25, 87-104.
    • (1971) Math. Comp. , vol.25 , pp. 87-104
    • Lyness, J.N.1
  • 12
    • 84956277051 scopus 로고
    • On the choice of standard solutions to Weber's equation
    • Miller, J. C. P. (1952). On the choice of standard solutions to Weber's equation, Proc. Comb. Phil. Soc., 48, 428-435.
    • (1952) Proc. Comb. Phil. Soc. , vol.48 , pp. 428-435
    • Miller, J.C.P.1
  • 13
    • 34250381856 scopus 로고
    • On high precision methods for the evaluation of Fourier integrals with finite and infinite limits
    • Patterson, T. N. L. (1976). On high precision methods for the evaluation of Fourier integrals with finite and infinite limits, Num. Math., 24.
    • (1976) Num. Math. , vol.24
    • Patterson, T.N.L.1
  • 14
    • 0007222872 scopus 로고
    • A numerical method for the integration of oscillatory functions
    • Piessens, R. and Poleunis, F. (1971). A numerical method for the integration of oscillatory functions, B.I.T., 11, 317-327.
    • (1971) B.I.T. , vol.11 , pp. 317-327
    • Piessens, R.1    Poleunis, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.