Algorithm 824: CUBPACK: a package for automatic cubature; framework description
Algorithm 824: CUBPACK: a package for automatic cubature; framework description
复制标题
DOI：
10.1145/838250.838253
复制
发表时间：
2003-09
期刊：
影响因子：
--
通讯作者：
R. Cools;A. Haegemans
中科院分区：
文献类型：
--
作者：
R. Cools;A. Haegemans
CUBPACK旨在提供一组可重用代码，用于在一组区域上自动进行n维（n ≥ 1）数值积分，即，求积和求积。目前的版本允许这个区域由n-单形和n-parellelepids的并集组成。CUBPACK的框架以及它的用户界面进行了描述。嵌入了几个众所周知的例程的功能。新功能包括使用ε算法外推三角形以外的区域的积分算法，以及对3-立方体进行新型细分的实现。
CUBPACK aims to offer a collection of re-usable code for automatic n-dimensional (n ≥ 1) numerical integration of functions over a collection of regions, i.e., quadrature and cubature. The current version allows this region to consist of a union of n-simplices and n-parellellepids. The framework of CUBPACK is described as well as its user interface. The functionality of several well known routines is embedded. New features include integration algorithms using the ε-algorithm for extrapolation for regions other than triangles and the implementation of a new type of subdivision for 3-cubes.