TWODQD an adaptive routine for two-dimensional integration
Journal of Computational and Applied Mathematics - Numerical Quadrature
Interpolatory integration formulas for optimal composition
ACM Transactions on Mathematical Software (TOMS)
Algorithm 424: Clenshaw-Curtis quadrature [D1]
Communications of the ACM
Comments on the Nature of Automatic Quadrature Routines
ACM Transactions on Mathematical Software (TOMS)
Algorithm 528: Framework for a Portable Library [Z]
ACM Transactions on Mathematical Software (TOMS)
An Experimental Algorithm for N-Dimensional Adaptive Quadrature
ACM Transactions on Mathematical Software (TOMS)
An investigation of Romberg quadrature
ACM Transactions on Mathematical Software (TOMS)
Distribution of mathematical software via electronic mail
ACM SIGNUM Newsletter
Interpolatory integration formulas for optimal composition
ACM Transactions on Mathematical Software (TOMS)
Local error estimates and regularity tests for the implementation of double adaptive quadrature
ACM Transactions on Mathematical Software (TOMS)
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Two automatic adaptive integrators from QUADPACK (namely, QAG, and QAGS) are modified by substituting the Gauss-Kronrod rules used for local quadrature with recursive monotone stable (RMS) formulas. Extensive numerical tests, both for one-dimensional and two-dimensional integrals, show that the resulting programs are faster, perform less functional evaluations, and are more suitable