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- W2004692187 abstract "Sinc functions are used for approximation on a general arc Γ in the complex plane. It is proved that for certain functions analytic in a domain containing the arc Γ, the error of an N -term approximation converges to zero, in the Sobolev space H 1 (Γ), at the rate O(e −γ N 1 2 ), as N → ∞. Special attention is given to the important case of Γ = ( a , b ), where a and b are finite real numbers. An application is also considered of the approximate result to the numerical solution of two-point boundary value problems. It is shown that the classical Sinc—Galerkin method with N basis functions has O(e −γ N 1 2 ) convergence rate in the H 1 -norm." @default.
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- W2004692187 date "1989-05-01" @default.
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- W2004692187 title "Sinc-type approximations in H1-norm with applications to boundary value problems" @default.
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- W2004692187 doi "https://doi.org/10.1016/0377-0427(89)90033-2" @default.
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