Titlebook: Numerical Integration; Recent Developments, Terje O. Espelid,Alan Genz Book 1992 Springer Science+Business Media Dordrecht 1992 Numerical i

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1389-2185 his nature was held, at Dalhousie University in Halifax, Canada, in 1986. Recent theoretical developments have mostly occurred in the area of integration rule c978-94-010-5169-9978-94-011-2646-5Series ISSN 1389-2185

SUGAR

visual-cortex

nominal

通情達(dá)理

Error Bounds Based on Approximation TheoryWe give examples for the usefulness of approximation theory in the discussion of error bounds for quadrature rules. Our main point is that this method is not only simple and general, but that it leads to sharp estimates in many cases.

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Numerical Integration of Singular and Hypersingular Integrals in Boundary Element MethodsFor weakly-, Cauchy- and hypersingular surface integrals arising in three-dimensional boundary element methods, we present and analyze several numerical integration schemes. Asymptotic error estimates in terms of the size of the integration domain are given.

紅潤(rùn)

啜泣

browbeat

Developments in Solving Integral Equations Numerically substitution kernel method and some recent results. In particular, the extension to Hammerstein integral equations, an investigation of Bateman’s method as applied to eigenvalue problems and its convergence behaviour for Green’s kernels are considered.

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