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# A Module for Sparse Grid Discretization using Discontinuous Galerkin Bases | ||
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### Authors: Alex Atanasov and Erik Schnetter | ||
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[![Build Status](https://travis-ci.org/ABAtanasov/GalerkinSparseGrids.jl.svg?branch=master)](https://travis-ci.org/ABAtanasov/GalerkinSparseGrids.jl) | ||
[![codecov](https://codecov.io/gh/ABAtanasov/GalerkinSparseGrids.jl/branch/master/graph/badge.svg)](https://codecov.io/gh/ABAtanasov/GalerkinSparseGrids.jl) | ||
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This [Julia language](https://julialang.org/) package is intended for accurately and efficiently solving hyperbolic partial differential equations in higher dimensions, where the curse of dimensionality restricts the computational feasibility of discretization of space using regular grid methods. Instead, we employ the sparse grid construction as in [Bungartz & Griebel](http://wissrech.ins.uni-bonn.de/research/pub/griebel/sparsegrids.pdf). | ||
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The ambitious long-term goal of this package is the efficient and accurate numerical solution of Einstein's equations in full 3+1 dimensional space under conditions of very low to no symmetry. Such simulations would be a great step forward in many diverse areas of strong gravity, including the modeling of dark matter, dark energy, and gravitational wave cosmology. We are not there yet, but already progress has been made in the simple cases such as wave evolution and initial condition interpolation. | ||
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The sparse grid methods of this package apply well beyond numerical relativity to many areas in high-dimensional dynamics and data science. The user is invited to experiment. | ||
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Authors: Alex Atanasov ([email protected]) & Erik Schnetter ([email protected]) | ||
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## Installing | ||
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Prerequisites for using this package are: | ||
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