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Journal of Computational and Applied Mathematics
Volumn 95, Issue 1-2, 1998, Pages 101-115
A piecewise linear quadrature of Cauchy singular integrals
Author keywords

Cauchy singular integral equation; Piecewise polynomial quadrature; Quadrature weight
Indexed keywords

ALGORITHMS; CALCULATIONS; FUNCTIONS; INTEGRAL EQUATIONS; INTERPOLATION; POLYNOMIALS;
EID: 0032139299     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00075-2     Document Type: Article
Times cited : (7)
References (10)
  • 1
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    • Atkinson, K.E.1
  • 2
    • 49549170984 scopus 로고
    • A system of arbitrarily oriented cracks in elastic solids
    • [2] A.P. Datsyshin, M.P. Sarruk, A system of arbitrarily oriented cracks in elastic solids, J. Appl. Math. Mech. (PMM) 37 (1973) 306-313.
    • (1973) J. Appl. Math. Mech. (PMM) , vol.37 , pp. 306-313
    • Datsyshin, A.P.1    Sarruk, M.P.2
  • 3
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    • A method for the numerical solution of singular integral equations with a principal value integral
    • [3] A. Gerasoulis, R. Srivastav, A method for the numerical solution of singular integral equations with a principal value integral, Int. J. Eng. Sci. 19 (1981) 1293-1298.
    • (1981) Int. J. Eng. Sci. , vol.19 , pp. 1293-1298
    • Gerasoulis, A.1    Srivastav, R.2
  • 4
    • 0019927790 scopus 로고
    • The use of piecewise quadrature polynomials for the solution of singular integral equations of Cauchy type
    • [4] A. Gerasoulis, The use of piecewise quadrature polynomials for the solution of singular integral equations of Cauchy type, Comput. Math. Appl. 8 (1982) 15-22.
    • (1982) Comput. Math. Appl. , vol.8 , pp. 15-22
    • Gerasoulis, A.1
  • 5
    • 0012691810 scopus 로고
    • Piecewise-polynomial Quadratures for Cauchy singular integrals
    • [5] A. Gerasoulis, Piecewise-polynomial Quadratures for Cauchy singular integrals, SIAM J. Numer. Anal. 23 (1986) 891-901.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 891-901
    • Gerasoulis, A.1
  • 6
    • 84966239467 scopus 로고
    • Cubic splines and approximate solution of singular integral equations
    • [6] E. Jen, R.P. Srivastav, Cubic splines and approximate solution of singular integral equations, Math. Comp. 37 (1981) 417-423.
    • (1981) Math. Comp. , vol.37 , pp. 417-423
    • Jen, E.1    Srivastav, R.P.2
  • 7
    • 0028383578 scopus 로고
    • The numerical solution of Cauchy singular integral equations with application to fracture
    • [7] R.D. Kurtz et al., The numerical solution of Cauchy singular integral equations with application to fracture, Int. J. Fracture 66 (1994) 139-154.
    • (1994) Int. J. Fracture , vol.66 , pp. 139-154
    • Kurtz, R.D.1
  • 8
    • 0021783722 scopus 로고
    • A numerical technique for the solution of singular integral equations of the second kind
    • [8] G.R. Miller, L.M. Keer, A numerical technique for the solution of singular integral equations of the second kind, Quart. Appl. Math. 42 (1985) 455-465.
    • (1985) Quart. Appl. Math. , vol.42 , pp. 455-465
    • Miller, G.R.1    Keer, L.M.2
  • 9
    • 21844495902 scopus 로고
    • Low-order methods for Cauchy principal value integrals with endpoint singularities
    • [9] F.A. Potra, E. Venturino, Low-order methods for Cauchy principal value integrals with endpoint singularities, IMA J. Numer. Anal. 14 (1994) 295-310.
    • (1994) IMA J. Numer. Anal. , vol.14 , pp. 295-310
    • Potra, F.A.1    Venturino, E.2
  • 10
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    • On the finite Hilbert transform
    • [10] F.G. Tricomi, On the finite Hilbert transform, Quart. J. Math. 2 (1951) 199-211.
    • (1951) Quart. J. Math. , vol.2 , pp. 199-211
    • Tricomi, F.G.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.