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Can I read On the Convergence of the Method for Indefinite Integration of Oscillatory and Singular Functions on EtoBox?

On the Convergence of the Method for Indefinite Integration of Oscillatory and Singular Functions by Paweł Keller; Paweł Woźny is a Mathematics article available to read on EtoBox.

What is On the Convergence of the Method for Indefinite Integration of Oscillatory and Singular Functions about?

We consider the problem of convergence and error estimation of the method for computing indefinite integrals proposed in Keller [8]. To this end, we have analysed the properties of the difference operator related to the difference equation for the Chebyshev coefficients of a function that satisfies a given linear differential equation with polynomial coefficients. Properties of this operator were never investigated before. The obtained results lead us to the conclusion that the studied method is always convergent. We also give a rigorous proof of the error estimates.

Who reads On the Convergence of the Method for Indefinite Integration of Oscillatory and Singular Functions?

It is typically read by researchers, students, and practitioners in Mathematics.

Author
Paweł Keller; Paweł Woźny
Publisher
Elsevier Science; Elsevier ; Elsevier BV (ISSN 0096-3003)
Published
2010
Language
EN
Field
Mathematics (Physical Sciences)

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