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Volumn 63, Issue 1-2, 1997, Pages 137-148

An expansion method for irregular oscillatory integrals

Author keywords

Irregular oscillatory quadrature, numerical integration

Indexed keywords

IRREGULAR OSCILLATORY QUADRATURE; NUMERICAL INTEGRATION;

EID: 0030736221     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207169708804556     Document Type: Article
Times cited : (7)

References (15)
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    • Ehrenmark, U.T.1
  • 2
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    • Quadrature formulas obtained by variable transformation
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    • (1973) Num. Math. , vol.21 , pp. 206-219
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  • 3
    • 0040664507 scopus 로고
    • Variable transformation methods and their use in general and singular quadratures
    • Aihie V. U. and Evans, G. A. (1989). Variable transformation methods and their use in general and singular quadratures, Int. J Comp. Math 27, 91-101.
    • (1989) Int. J Comp. Math , vol.27 , pp. 91-101
    • Aihie, V.U.1    Evans, G.A.2
  • 4
    • 0000624238 scopus 로고
    • A method for the numerical integration on an automatic computer
    • Clenshaw, C. W. and Curtis, A. R. (1960). A method for the numerical integration on an automatic computer, Num. Math. 12, 197-205.
    • (1960) Num. Math. , vol.12 , pp. 197-205
    • Clenshaw, C.W.1    Curtis, A.R.2
  • 5
    • 84968498665 scopus 로고    scopus 로고
    • The optimum addition of points to quadrature formulae
    • Patterson, T. N. L. The optimum addition of points to quadrature formulae, Math. Comp. 22, 847-856.
    • Math. Comp. , vol.22 , pp. 847-856
    • Patterson, T.N.L.1
  • 7
    • 84968468712 scopus 로고
    • Procedures for computing one and two dimensional integrals of functions with rapid irregular oscillations
    • Levin, D. (1982). Procedures for computing one and two dimensional integrals of functions with rapid irregular oscillations, Math. Comp. 38, 531-538.
    • (1982) Math. Comp. , vol.38 , pp. 531-538
    • Levin, D.1
  • 8
    • 0023827019 scopus 로고
    • A three-point formula for numerical quadrature of oscillatory integrals with variable frequency
    • Ehrenmark, U. T. (1988). A three-point formula for numerical quadrature of oscillatory integrals with variable frequency, J. Comp. App. Math. 21, 87-99.
    • (1988) J. Comp. App. Math. , vol.21 , pp. 87-99
    • Ehrenmark, U.T.1
  • 9
    • 0008496226 scopus 로고
    • Two robust methods for irregular oscillatory integrals over a finite range
    • Evans, G. A. (1994) .Two robust methods for irregular oscillatory integrals over a finite range, App. Num. Math. 14, 383-395.
    • (1994) App. Num. Math. , vol.14 , pp. 383-395
    • Evans, G.A.1
  • 10
    • 34250381856 scopus 로고
    • On high precision methods for the evaluation of Fourier inte-grals with finite and infinite limits
    • Patterson, T. N. L. (1976). On high precision methods for the evaluation of Fourier inte-grals with finite and infinite limits, Num. Math. 27, 41-52.
    • (1976) Num. Math. , vol.27 , pp. 41-52
    • Patterson, T.N.L.1
  • 11
    • 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, C. J. 19, 258-267.
    • (1976) C. J. , vol.19 , pp. 258-267
    • Alaylioglu, A.1    Evans, G.A.2    Hyslop, J.3
  • 12
    • 0040664496 scopus 로고
    • An alternative method for irregular oscillatory integrals over a finite range
    • Evans, G. A. (1994). An alternative method for irregular oscillatory integrals over a finite range, Int. J. Comp. Math. 53, 185-193.
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    • Evans, G.A.1
  • 13
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    • The evaluation of integrals with infinite limits
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  • 14
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    • Polynomial transformations for singular integrals
    • Evans, G. A. Forbes R. C. and Hyslop, J. (1983). Polynomial transformations for singular integrals Int. J. Comp. Math. 14, 157-170.
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    • Evans, G.A.1    Forbes, R.C.2    Hyslop, J.3
  • 15
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.