A new proof of the Euler-Maclaurin expansion for quadrature over implicitly defined curves

Journal of Computational and Applied Mathematics

Volumn 104, Issue 1, 1999, Pages 19-25

  Syam, Muhammed I ^a  

^a UNITED ARAB EMIRATES UNIVERSITY   (United Arab Emirates)

Author keywords

Continuation methods; Implicitly defined curve; Modified trapezoidal rule

Indexed keywords

ERROR ANALYSIS; INTEGRAL EQUATIONS; NUMERICAL METHODS; THEOREM PROVING;

ASYMPTOTIC ERROR EXPANSION; CONTINUATION METHODS; EULER-MACLAURIN EXPANSION; IMPLICITLY DEFINED CURVES; MODIFIED TRAPEZOIDAL RULES;

COMPUTATIONAL GEOMETRY;

EID: 0032680012     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00198-8     Document Type: Article

References (5)

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3. K. Georg, Approximation of integrals for boundary element methods, SIAM J. Sci. Statist. Comput. 12 (1991) 443-453.
4. J.N. Lyness, Quadrature over curved surfaces by Extrapolation, SIAM J. Numer. Anal. 15 (1993).
5. H.I. Siyyam, M.I. Syam, The modified trapezoidal rule for line integrals, J. Comput. Appl. Math. 84 (1997) 1-14.