LogLatt is an efficient MATLAB library for the numerical calculus and operations between functions on multi-dimensional lattices of logarithmically distributed nodes in Fourier space. The applicabilities are available in one, two and three dimensions and include common differential operators, norms and functional products, which are convolutions in Fourier space. All operations are encoded as function handles, so they may be applied in a high level coding. Examples of applications to nonlinear differential equations of fluid flow are provided.
A comprehensive documentation for LogLatt is available in https://arxiv.org/abs/2006.00047
Ciro S. Campolina. LogLatt: A computational library for the calculus on logarithmic lattices, 2020. Freely available for noncommercial use from MATLAB Central File Exchange (https://www.mathworks.com/matlabcentral/fileexchange/76295-loglatt).
Ciro S. Campolina. LogLatt: A computational library for the calculus and flows on logarithmic lattices. arXiv preprint arXiv:2006.00047, 2020.
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