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Volumn 184, Issue 2, 2005, Pages 475-492

Application of class Lm variable transformations to numerical integration over surfaces of spheres

Author keywords

Asymptotic expansions; Double layer singularities; Euler Maclaurin expansions; Integration over surfaces of spheres; Numerical integration; Product trapezoidal rule:Class Lm variable transformations; Sinm transformation; Single layer singularities

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; INTEGRATION; MATRIX ALGEBRA; THEOREM PROVING;

EID: 23844437985     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.01.022     Document Type: Article
Times cited : (14)

References (12)
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    • I.S. Duff G.A. Watson (Eds.) Oxford University Press Oxford
    • K.E. Atkinson The numerical solution of boundary integral equations in: I.S. Duff G.A. Watson (Eds.) State of the Art in Numerical Analysis 1997 Oxford University Press Oxford 223-259
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    • Atkinson, K.E.1
  • 3
    • 23844463165 scopus 로고    scopus 로고
    • Quadrature of singular integrands over surfaces
    • K.E. Atkinson Quadrature of singular integrands over surfaces Electr. Trans. Numer. Anal. 17 2004 133-150
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    • Atkinson, K.E.1
  • 4
    • 84948301871 scopus 로고
    • Development of non-linear transformations for improving convergence of sequences
    • D. Levin Development of non-linear transformations for improving convergence of sequences Intern. J. Comput. Math. B 3 1973 371-388
    • (1973) Intern. J. Comput. Math. B , vol.3 , pp. 371-388
    • Levin, D.1
  • 5
    • 85171863190 scopus 로고
    • Nonlinear transformations of divergent and slowly convergent sequences
    • D. Shanks Nonlinear transformations of divergent and slowly convergent sequences J. Math. Phys. 34 1955 1-42
    • (1955) J. Math. Phys. , vol.34 , pp. 1-42
    • Shanks, D.1
  • 6
    • 0000046873 scopus 로고
    • A new variable transformation for numerical integration
    • H. Brass, G. Hämmerlin (Eds.) Birkhäuser, Basel
    • A. Sidi, A new variable transformation for numerical integration, in: H. Brass, G. Hämmerlin (Eds.), Numerical Integration IV, International Series of Numerical Methods, vol. 112, Birkhäuser, Basel, 1993, pp. 359-373.
    • (1993) Numerical Integration IV, International Series of Numerical Methods , vol.112 , pp. 359-373
    • Sidi, A.1
  • 7
    • 23844493437 scopus 로고    scopus 로고
    • 3, preprint
    • Computer Science Department, Technion-Israel Institute of Technology
    • 3, preprint. Computer Science Department, Technion-Israel Institute of Technology, 2003.
    • (2003)
    • Sidi, A.1
  • 8
    • 23844454585 scopus 로고    scopus 로고
    • Practical Extrapolation Methods: Theory and Applications
    • Cambridge University Press, Cambridge
    • A. Sidi, Practical Extrapolation Methods: Theory and Applications, Cambridge Monographs on Applied and Computational Mathematics, no. 10, Cambridge University Press, Cambridge, 2003.
    • (2003) Cambridge Monographs on Applied and Computational Mathematics , Issue.10
    • Sidi, A.1
  • 9
    • 4544369789 scopus 로고    scopus 로고
    • Euler-Maclaurin expansions for integrals with endpoint singularities: A new perspective
    • A. Sidi Euler-Maclaurin expansions for integrals with endpoint singularities: A new perspective Numer. Math. 98 2004 371-387
    • (2004) Numer. Math. , vol.98 , pp. 371-387
    • Sidi, A.1
  • 10
    • 85009726455 scopus 로고    scopus 로고
    • Extension of a class of periodizing variable transformations for numerical integration
    • to appear
    • A. Sidi, Extension of a class of periodizing variable transformations for numerical integration, Math. Comput. (2005), to appear.
    • (2005) Math. Comput.
    • Sidi, A.1
  • 11
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    • m variable transformations, Part I: Smooth integrands
    • to appear
    • m variable transformations, Part I: Smooth integrands, Appl. Math. Comput. (2005), to appear.
    • (2005) Appl. Math. Comput.
    • Sidi, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.