Asymptotically sharp error bounds for a quadrature rule for Cauchy principal value integrals based on piecewise linear interpolation

Author:

Diethelm Kai

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference15 articles.

1. Braß H., Quadraturverfahren, Vandenhoeck & Ruprecht, Göttingen, 1977.

2. Davis P. J., and Rabinowita P., Methods of Numerical Integration, Academic Press, Orlando, 2nd edition, 1984.

3. Diethelm K., A Definiteness Criterion for Linear Functionals and its Application to Cauchy Principal Value Quadrature, J. Comput. Appl. Math., to appear.

4. Diethelm K., Error Estimates for a Quadrature Rule for Cauchy Principal Value Integrals. In W. Gautschi, editor, Mathematics of Computation 1943–1993: A Half-Century of Computational Mathematics, volume 48 of Proc. Symp. Appl. Math., 1994, pp. 287–291.

5. —, Modified Compound Quadrature Rules for Strongly Singular Integrals, Computing, 52(4):337–354, 1994.

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