zbMATH — the first resource for mathematics

High order numerical quadratures to one dimensional delta function integrals. (English) Zbl 1170.65008
Weighted one-dimensional integrals with delta functions as integrands are common in mathematical applications. In this paper, numerical quadrature schemes are developed for such integrals over finite ranges and with level set functions \(\beta(\cdot)\) composed with the mentioned delta function in the integral. The purpose of this particular paper is to find high-order schemes, and the results are presented together with many computational examples.

65D15 Algorithms for approximation of functions
46F10 Operations with distributions and generalized functions
Full Text: DOI