Numerical quadrature for high-dimensional singular integrals over parallelotopes
(2013)
Journal Article
Chernov, A., & Reinarz, A. (2013). Numerical quadrature for high-dimensional singular integrals over parallelotopes. Computers and Mathematics with Applications, 66(7), 1213-1231. https://doi.org/10.1016/j.camwa.2013.07.017
We introduce and analyze a family of algorithms for an efficient numerical approximation of integrals of the form I=∫C(1)∫C(2)F(x,y,y−x)dydx where C(1), C(2)are d-dimensional parallelotopes (i.e. affine images of d-hypercubes) and F has a singularity... Read More about Numerical quadrature for high-dimensional singular integrals over parallelotopes.