A Godunov--type scheme for a scalar conservation law with space-time flux discontinuity

Fuente: arXiv
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Auteur principal: Gyamfi, Kwame Atta
Format: Preprint
Publié: 2024
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author Gyamfi, Kwame Atta
author_facet Gyamfi, Kwame Atta
contents We present and analyze a new finite volume scheme of Gudonov-type for a nonlinear scalar conservation law whose flux function has a discontinuous coefficient due to time-dependent changes in its sign along a Lipschitz continuous curve.
format Preprint
id arxiv_https___arxiv_org_abs_2402_04104
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Godunov--type scheme for a scalar conservation law with space-time flux discontinuity
Gyamfi, Kwame Atta
Numerical Analysis
65M08, 65M50, 65M22, 35A35, 35L65, 35L60
We present and analyze a new finite volume scheme of Gudonov-type for a nonlinear scalar conservation law whose flux function has a discontinuous coefficient due to time-dependent changes in its sign along a Lipschitz continuous curve.
title A Godunov--type scheme for a scalar conservation law with space-time flux discontinuity
topic Numerical Analysis
65M08, 65M50, 65M22, 35A35, 35L65, 35L60
url https://arxiv.org/abs/2402.04104