A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws

We propose a numerical method to solve parameter-dependent scalar hyperbolic partial differential equations (PDEs) with a moment approach, based on a previous work from Marx et al. (2020). This approach relies on a very weak notion of solution of nonlinear equations, namely parametric entropy measur...

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Bibliographic Details
Published in:	Numerische Mathematik Vol. 156; no. 4; pp. 1289 - 1324
Main Authors:	Cardoen, Clément, Marx, Swann, Nouy, Anthony, Seguin, Nicolas
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2024 Springer Nature B.V Springer Verlag
Subjects:	Approximation Burgers equation Conservation laws Entropy Functionals Initial conditions Linear equations Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Nonlinear equations Numerical Analysis Numerical and Computational Physics Numerical methods Parameterization Parameters Partial differential equations Semidefinite programming Simulation Theoretical 35D99 35L65 65D15 Analysis of PDEs Numerical analysis
ISSN:	0029-599X, 0945-3245
Online Access:	Get full text
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