Abstract
Computational methods have been applied to statistical mechanics and combinatorics since the beginnings of electronic computers (e.g., ENIAC) in the 1940s. In this chapter, we give a brief overview of the different computational methods that have been applied to ensembles of vortex filaments, including Numerical PDEs, Monte Carlo and the Metropolis algorithm, Feynman–Kac Path Integral methods, the Demon algorithm, and Hamiltonian flow. Each of these methods has different advantages and disadvantages that we will explore.
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Andersen, T.D., Lim, C.C. (2014). Computational Methods. In: Introduction to Vortex Filaments in Equilibrium. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1938-3_8
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DOI: https://doi.org/10.1007/978-1-4939-1938-3_8
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