A Path-Conservative ADER Discontinuous Galerkin Method for Non-Conservative Hyperbolic Equations: Applications in Shallow Water Equations-Reference-Cited by-同舟云学术

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A Path-Conservative ADER Discontinuous Galerkin Method for Non-Conservative Hyperbolic Equations: Applications in Shallow Water Equations

Published:2023 Issue:07 Volume:12 Page:3381-3397
ISSN:2324-7991
Container-title:Advances in Applied Mathematics
language:
Short-container-title:AAM

Author:

赵晓旭

Publisher

Hans Publishers

Subject

General Medicine

Reference43 articles.

1. Dal Maso, G., LeFloch, P.G. and Murat, F. (1995) Definition and Weak Stability of Nonconservative Products. Journal de Mathématiques Pures et Appliqués, 74, 483-548.

2. High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems

3. Numerical methods for nonconservative hyperbolic systems: a theoretical framework.

4. Path-conservative central-upwind schemes for nonconservative hyperbolic systems

5. A weak formulation of roe's approximate riemann solver

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