r2d2lri swMATH ID: 772 Software Authors: Robinson, Ian; Hill, Michael Description: \(r2d2lri\) is a non-adaptive algorithm implemented in C++ for performing automatic cubature over a wide variety of finite and non-finite two-dimensional domains. The core integrator uses a sixth-order 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 non-finite domains, for which several non-finite 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 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Algorithm 816: r2d2lri: an algorithm for automatic two-dimensional cubature. Zbl 1070.65519Robinson, 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 2 ACM Transactions on Mathematical Software 2 Journal of Computational and Applied Mathematics 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Theoretical Computer Science 1 Journal of Scientific Computing 1 Numerical Algorithms Cited in 4 Fields 10 Numerical analysis (65-XX) 8 Approximations and expansions (41-XX) 1 Number theory (11-XX) 1 Sequences, series, summability (40-XX) Citations by Year