A dynamical approach to accelerating numerical integration with equidistributed points

DOI10.1134/S0081543807010166zbMath1166.65011OpenAlexW2156812075MaRDI QIDQ2377561

Mark Pollicott, Oliver Jenkinson

Publication date: 19 January 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543807010166

zbMATH Keywords

convergencequadrature formulaLebesgue measurereal analytic functionequidistributed setNewton-Cotes rule

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Real-analytic functions (26E05) Dynamical systems in numerical analysis (37N30)

Related Items (4)

Fast approximation of the affinity dimension for dominated affine iterated function systems ⋮ A multiresolution algorithm to approximate the Hutchinson measure for IFS and GIFS ⋮ Estimating Mahler measures using periodic points for the doubling map ⋮ Approximating integrals with respect to stationary probability measures of iterated function systems

Cites Work

• An extension of the theory of Fredholm determinants
• Orthonormal expansions of invariant densities for expanding maps
• Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions
• Hecke operators and distributing points on the sphere I
• On a $\zeta$ function related to the continued fraction transformation
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