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First passage leapovers of Lévy flights and the proper formulation of absorbing boundary conditions

This repository houses the code used to produce the figures in the article First passage leapovers of Lévy flights and the proper formulation of absorbing boundary conditions.

Citation

Asem Wardak 2020 J. Phys. A: Math. Theor. 53 375001

Requirements

Wolfram Language 11.3 onwards

Usage

The notebook first_passage_leapovers.nb contains a timestamped record of the raw computations used to produce the figures. Each raw result has been iconised in the notebook with shortened names, e.g. empirical FPLD. These computations were run in parallel on a cluster of ~200 cores.

The packages in wlPackages/ contain helper functions written to streamline the presentation in the notebook when computing its results. In particular, InverseLaplace.wl contains an optimised rewriting of an implementation of the CME algorithm for computing the inverse Laplace transform.

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Code for the paper "First passage leapovers of Lévy flights and the proper formulation of absorbing boundary conditions"

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