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paper.md : update title and some wording
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freifrauvonbleifrei authored Nov 21, 2023
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---
title: 'DisCoTec: MPI-based code for distributed HPC simulations with the sparse grid combination technique'
title: 'DisCoTec: Distributed higher-dimensional HPC simulations with the sparse grid combination technique'
tags:
- C++
- MPI
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# Summary

Higher-dimensional problems (by which we typically mean more than three space
dimensions and one time dimension) quickly require huge amounts of computational resources such as memory and core-h.
dimensions and one time dimension) quickly require huge amounts of computational resources
such as memory and core-h.
An example of this are plasma simulations in the field of confined fusion research.
The sparse grid combination technique addresses this problem:
Instead of solving the problem on one grid that is very finely resolved in all dimensions,
the problem is solved on a combination of grids which are all rather coarsely resolved --
each of them differently in the different dimensions.
By updating each other's information throughout the simulation, the grids still solve the problem accurately.
By updating each other's information throughout the simulation, the combined grids
still obtain an accurate solution of the overall problem.


# Statement of need

`DisCoTec` is a C++ framework for the sparse grid combination technique.
Targeted at HPC systems, it is used for parallel simulations,
drawing on distributed-memory parallelism via MPI [@heeneMassivelyParallelCombination2018] and shared-memory parallelism via OpenMP.
drawing on distributed-memory parallelism via MPI [@heeneMassivelyParallelCombination2018]
and shared-memory parallelism via OpenMP.
It is designed to be used in combination with existing simulation codes,
which can be used with `DisCoTec` in a black-box fashion.

Expand All @@ -60,7 +63,7 @@ but the approach is not limited to UFTP.
Basically, any code that can operated on nested structured grids can employ the model order reduction
provided by the underlying sparse grid approach without considering any multiscale operations; this part is provided by DisCoTec.
Although already 2D applications can see significant benefits, the higher-dimensional (4- to 6-dimensional)
grids employed in high-fidelity plasma simulations benefit even more [@pollingerStableMassconservingSparse2023].
grids employed in high-fidelity plasma simulations benefit even more from the combination technique [@pollingerStableMassconservingSparse2023].


# Acknowledgements
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