106 citations · 272 across the 14 of their papers we have counts for
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math.NA2010★ 23 cited
Increasing the Reliability of Adaptive Quadrature Using Explicit Interpolants
Pedro Gonnet
We present two new adaptive quadrature routines. Both routines differ from previously published algorithms in many aspects, most significantly in how they represent the integrand,…
math.NA2010★ 2 cited
Efficient Construction, Update and Downdate Of The Coefficients Of Interpolants Based On Polynomials Satisfying A Three-Term Recurrence Relation
Pedro Gonnet
In this paper, we consider methods to compute the coefficients of interpolants relative to a basis of polynomials satisfying a three-term recurrence relation. Two new algorithms ar…
math.NA2010★ 2 cited
A Review of Error Estimation in Adaptive Quadrature
Pedro Gonnet
The most critical component of any adaptive numerical quadrature routine is the estimation of the integration error. Since the publication of the first algorithms in the 1960s, man…