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Nodal Spline Integration Rules for Certain 2-D Cauchy Principal Value Integrals
Authors:
Catterina Dagnino a;
Vittoria Demichelis a
| Affiliation: | a Dipartimento di Matematica, Universit di Torino, Via Carlo Alberto 10, I-10123, Torino, Italy. |
DOI:
10.1080/00207160211926
Publication Frequency:
15 issues per year
Published in:
International Journal of Computer Mathematics,
Volume
79,
Issue
2
2002
, pages 233
- 246
International Journal of Computer Mathematics,
Volume
79,
Issue
2
2002
, pages 233
- 246
Subjects:
Analysis - Mathematics;
Bioinformatics;
Computer Mathematics;
Discrete Mathematics;
Mathematical Finance;
Mathematical Logic;
Mathematical Numerical Analysis;
Systems & Computer Architecture;
Number of References: 18
Formats available:
PDF
(English)
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Abstract
In this paper we consider integration rules based on products of one-dimensional nodal spline quadratures for the numerical evaluation of 2-D singular integrals defined in the Hadamard finite part sense. We derive convergence results and error bounds. Some numerical tests are also presented.
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| Keywords: Spline Approximation; Finite-part Integrals; Cauchy Principal Value; Quadratures; Cubatures |
| view references (18) : view citations |
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