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Algorithm 764: Cubpack++

Published:1997-03 Issue:1 Volume:23 Page:1-15
ISSN:0098-3500
Container-title:ACM Transactions on Mathematical Software
language:en
Short-container-title:ACM Trans. Math. Softw.

Author:

Cools Ronald¹,Pluym Luc¹,Laurie Dirk²

Affiliation:

1. Katholieke Univ. Leuven, Leuven, Belgium

2. Potchefstroomse Univ. vir Christelike Hoe¨r Onderring, Vanderbijlpark, South Africa

Abstract

In this article, software for the numerical approximation of double integrals over a variety of regions is described. The software was written in C++. Classes for a large number of shapes are provided. A global adaptive integration algorithm is used based on transformations and subdivisions of regions.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Link

https://dl.acm.org/doi/pdf/10.1145/244768.244770

Reference17 articles.

1. Error estimation in automatic quadrature routines

2. Algorithm 706: DCUTRI: an algorithm for adaptive cubature over a collection of triangles

3. COOLS R. 1994. The subdivision strategy and reliability in adaptive integration revisited. Rep. TW 213 Dept. of Computer Science Katholieke Univ. Leuven Leuven Belgium. COOLS R. 1994. The subdivision strategy and reliability in adaptive integration revisited. Rep. TW 213 Dept. of Computer Science Katholieke Univ. Leuven Leuven Belgium.

4. Construction of fully symmetric cubature formulae of degree 4k − 3 for fully symmetric planar regions

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