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Volumn 41, Issue 3-4, 2001, Pages 327-352

Numerical quadratures for singular and hypersingular integrals

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHEBYSHEV APPROXIMATION; COMPUTER SIMULATION; FORTRAN (PROGRAMMING LANGUAGE); FUNCTION EVALUATION; INTEGRATION; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; MAXWELL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS;

EID: 0035251683     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(00)00277-7     Document Type: Article
Times cited : (80)

References (22)
  • 1
    • 33646282066 scopus 로고    scopus 로고
    • Quadrupole and octuple layer potentials in two dimensions I: Analytical apparatus
    • Computer Science Department, Yale University
    • P. Kolm and V. Rokhlin, Quadrupole and octuple layer potentials in two dimensions I: Analytical apparatus, Tech. Rep. Yale YALEU/DCS/RR-1176, Computer Science Department, Yale University, (1999).
    • (1999) Tech. Rep. Yale YALEU/DCS/RR-1176
    • Kolm, P.1    Rokhlin, V.2
  • 6
    • 0000181954 scopus 로고
    • The application of integral equation methods to the numerical solution of some exterior boundary-value problems
    • A.J. Burton and G.F. Miller, The application of integral equation methods to the numerical solution of some exterior boundary-value problems, Proc. Roy. Soc. Lond. A. 323, 201-210, (1971).
    • (1971) Proc. Roy. Soc. Lond. A. , vol.323 , pp. 201-210
    • Burton, A.J.1    Miller, G.F.2
  • 7
    • 0000380876 scopus 로고
    • H-field, E-field, and combined field solutions for conducting bodies of revolution
    • J.R. Mautz and R.F. Harrington, H-field, E-field, and combined field solutions for conducting bodies of revolution, AEU 32, 157-164, (1978).
    • (1978) AEU , vol.32 , pp. 157-164
    • Mautz, J.R.1    Harrington, R.F.2
  • 8
    • 0000921003 scopus 로고
    • The "interior resonance" problem associated with surface integral equations of electromagnetics: Numerical consequences and a survey of remedies
    • A.F. Peterson, The "interior resonance" problem associated with surface integral equations of electromagnetics: Numerical consequences and a survey of remedies, Journal of Electromagnetic Waves and Applications 10, 293-312, (1990).
    • (1990) Journal of Electromagnetic Waves and Applications , vol.10 , pp. 293-312
    • Peterson, A.F.1
  • 9
    • 0032121145 scopus 로고    scopus 로고
    • The Fast Illinois Solver Code: Requirements and scaling properties
    • J. Song and W.C. Chew, The Fast Illinois Solver Code: Requirements and scaling properties, IEEE Computational Science and Engineering, 19-23, (1998).
    • (1998) IEEE Computational Science and Engineering , pp. 19-23
    • Song, J.1    Chew, W.C.2
  • 12
    • 85031522487 scopus 로고
    • Colloquium Publications, American Mathematical Society
    • G. Szegö, Orthogonal Polynomials, Volume 23, Colloquium Publications, American Mathematical Society, (1939).
    • (1939) Orthogonal Polynomials , vol.23
    • Szegö, G.1
  • 16
    • 0000958673 scopus 로고    scopus 로고
    • Generalized Gaussian quadrature rules for systems of arbitrary functions
    • J. Ma, V. Rokhlin and S. Wandzura, Generalized Gaussian quadrature rules for systems of arbitrary functions, SIAM J. Numer. Anal. 33, 971-996, (1996).
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 971-996
    • Ma, J.1    Rokhlin, V.2    Wandzura, S.3
  • 17
    • 0008300452 scopus 로고
    • The ideas of P.L. Chebyshev and A.A. Markov in the theory of limiting values of integrals
    • M.G. Krein, The ideas of P.L. Chebyshev and A.A. Markov in the theory of limiting values of integrals, American Mathematical Society Translations 12, 1-122, (1959).
    • (1959) American Mathematical Society Translations , vol.12 , pp. 1-122
    • Krein, M.G.1
  • 20
    • 0005931337 scopus 로고    scopus 로고
    • An improved fast multipole algorithm for potential fields on the line
    • N. Yarvin and V. Rokhlin, An improved fast multipole algorithm for potential fields on the line, SIAM J. Numer. Anal. 36, 629-666, (1999).
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 629-666
    • Yarvin, N.1    Rokhlin, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.