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COFFEE -- An MPI-parallelized Python package for the numerical evolution of differential equations
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COFFEE (ConFormal Field Equation Evolver) is a Python package primarily developed to numerically evolve systems of partial differential equations over time using the method of lines. It includes a variety of time integrators and finite differencing stencils with the summation-by-parts property, as well as pseudo-spectral functionality for angular derivatives of spin-weighted functions. Some additional capabilities include being MPI-parallelisable on a variety of different geometries, HDF data output and post processing scripts to visualize data, and an actions class that allows users to create code for analysis after each timestep.
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Conformal compactification and affine-null metric formulation of the Einstein equations
A hierarchical, boundary-regular affine-null form of the conformal Einstein-scalar equations is derived, shown equivalent to compactified physical-space equations, and used to extract the news function at null infinity.
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