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Nodal Spline Integration Rules for Certain 2-D Cauchy Principal Value Integrals
- Source :
- International Journal of Computer Mathematics. 79:233-246
- Publication Year :
- 2002
- Publisher :
- Informa UK Limited, 2002.
-
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.
- Subjects :
- Spline approximation
Finite-part integrals
Cauchy principal value
Quadratures
Cubatures
Applied Mathematics
Numerical analysis
Mathematical analysis
Singular integral
Computer Science Applications
Numerical integration
Spline (mathematics)
Computational Theory and Mathematics
M-spline
Hadamard transform
Cauchy's integral formula
Mathematics
Subjects
Details
- ISSN :
- 10290265 and 00207160
- Volume :
- 79
- Database :
- OpenAIRE
- Journal :
- International Journal of Computer Mathematics
- Accession number :
- edsair.doi.dedup.....384a088bd55338453989d9636d17b05b
- Full Text :
- https://doi.org/10.1080/00207160211926