r2d2lri
swMATH ID:  772 
Software Authors:  Robinson, Ian; Hill, Michael 
Description:  \(r2d2lri\) is a nonadaptive algorithm implemented in C++ for performing automatic cubature over a wide variety of finite and nonfinite twodimensional domains. The core integrator uses a sixthorder Sidi transformation applied to a sequence of embedded lattice rules in such a fashion as to incur virtually no computational overhead. Even for integrals over nonfinite domains, for which several nonfinite to finite transformations may be attempted, the algorithm remains very fast. Performance data are presented which demonstrate both the effectiveness and efficiency of \(r2d2lri\), taking into account the number of function evaluations needed and the execution speed. 
Homepage:  http://dl.acm.org/citation.cfm?id=513006 
Related Software:  d2lri; CUBPACK; ParInt; elrint3d; ORTHPOL; TESTPACK; Cubpack++ 
Cited in:  10 Documents 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

Algorithm 816: r2d2lri: an algorithm for automatic twodimensional cubature. Zbl 1070.65519 Robinson, Ian; Hill, Michael 
2002

Cited by 5 Authors
4  Sidi, Avram 
3  Hill, Michael 
2  Li, Tiancheng 
1  Cools, Ronald 
1  Nuyens, Dirk 
all
top 5
Cited in 7 Serials
Cited in 4 Fields
10  Numerical analysis (65XX) 
8  Approximations and expansions (41XX) 
1  Number theory (11XX) 
1  Sequences, series, summability (40XX) 