Numerical integration rules with improved accuracy close to discontinuities

Author:

Amat Sergio,Li ZhilinORCID,Ruiz-Álvarez Juan,Solano ConcepciónORCID,Trillo Juan C.

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,General Computer Science,Theoretical Computer Science

Reference17 articles.

1. An Introduction to Numerical Analysis;Atkinson,1989

2. A method for computing nearly singular integrals;Beale;SIAM J. Numer. Anal.,2001

3. On the accuracy of finite difference methods for elliptic problems with interfaces;Beale;Commun. Appl. Math. Comput. Sci.,2006

4. Ignoring the singularity in approximate integration;Davis;J. Soc. Ind. Appl. Math. Ser. B,1965

5. Algorithm 32 – automatic computation of integrals with singular integrand, over a finite or an infinite range;De Doncker;Computing,1976

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