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- W4297128162 abstract "We present an implementation of arbitrary-precision numerical integration with rigorous error bounds in the Arb library. Rapid convergence is ensured for piecewise complex analytic integrals by use of the Petras algorithm, which combines adaptive bisection with adaptive Gaussian quadrature where error bounds are determined via complex magnitudes without evaluating derivatives. The code is general, easy to use, and efficient, often outperforming existing non-rigorous software." @default.
- W4297128162 created "2022-09-27" @default.
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- W4297128162 date "2018-02-22" @default.
- W4297128162 modified "2023-09-28" @default.
- W4297128162 title "Numerical integration in arbitrary-precision ball arithmetic" @default.
- W4297128162 doi "https://doi.org/10.48550/arxiv.1802.07942" @default.
- W4297128162 hasPublicationYear "2018" @default.
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