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lines changed Original file line number Diff line number Diff line change 11# Efficient space-time adaptivity for parabolic evolution equations using wavelets in time and finite elements in space
2- This repository contains an implementation of arXiv:2101.03956, as described in .
2+ This repository contains the implementation that was used to generate the numerics in arXiv:2104.08143 and arXiv:2101.03956 .
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44This project provides a linear complexity implementation of a space-time
5- adaptive solver for parabolic evolution equations. The trial spaces that
6- we consider here are given as sparse tensor product approximations
7- of wavelets-in-time and (locally refined) finite element spaces-in-space.
8- Special care has to be taken to evaluate matrix-vector products, as the
9- system-matrix w.r.t. such a multi-level type basis is not sparse. By restricting
10- to bases that are spanned by tensor products having index sets that form double-trees,
11- we can still evaluate the system matrices in linear complexity.
12-
13- Aiming at a truly linear-complexity implementation, we implemented this algorithm
14- using tree-based algorithms, without the use of hash maps.
5+ adaptive solver for parabolic evolution equations. Aiming at a truly linear-complexity
6+ implementation, we implemented this algorithm using tree-based algorithms, without the use of hash maps.
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168## Requirements
179- A C++17 compliant compiler
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