MultiWave: A computational lab for adaptive numerical methods approximating hyperbolic balance laws

Fuente: arXiv
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Autores principales: Kolb, Adrian, Sikstel, Aleksey
Formato: Preprint
Publicado: 2026
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author Kolb, Adrian
Sikstel, Aleksey
author_facet Kolb, Adrian
Sikstel, Aleksey
contents We present the MultiWave C++-framework for adaptive numerical methods approximating hyperbolic balance laws. MultiWave has been designed as a computational laboratory where new mathematical concepts can be quickly implemented and tested. We demonstrate the realisation of an adaptive perturbation discontinuous Galerkin method starting with the mathematical background and proceed to the low-level implementation details. We elaborate on the design choices made in particular regarding the modularity that allows one to extend the code reusing existing infrastructure.
format Preprint
id arxiv_https___arxiv_org_abs_2604_00894
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle MultiWave: A computational lab for adaptive numerical methods approximating hyperbolic balance laws
Kolb, Adrian
Sikstel, Aleksey
Numerical Analysis
We present the MultiWave C++-framework for adaptive numerical methods approximating hyperbolic balance laws. MultiWave has been designed as a computational laboratory where new mathematical concepts can be quickly implemented and tested. We demonstrate the realisation of an adaptive perturbation discontinuous Galerkin method starting with the mathematical background and proceed to the low-level implementation details. We elaborate on the design choices made in particular regarding the modularity that allows one to extend the code reusing existing infrastructure.
title MultiWave: A computational lab for adaptive numerical methods approximating hyperbolic balance laws
topic Numerical Analysis
url https://arxiv.org/abs/2604.00894