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

Published 6 Feb 2024 in math.NA and cs.NA | (2402.04104v1)

Abstract: 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.

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