The efficiency of a quadrature scheme based on iterated Levin U transformations and composite rule approximations for a harmonic sequence of mesh ratios is demonstrated for typical problem classes. Numerical results indicate a favourable comparison with the well known nonlinear extrapolation procedures applied to a sequence of composite quadrature rule sums for a geometric progression of the mesh ratios.
CITATION STYLE
Cariño, R., de Doncker, E., & Robinson, I. (1991). Approximate integration using iterated levin transformations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 507 LNCS, pp. 293–299). Springer Verlag. https://doi.org/10.1007/BFb0038506
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