High order finite difference WENO schemes with the exact conservation property for the shallow water equations

Author:

Xing Yulong,Shu Chi-Wang

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference24 articles.

1. Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy;Balsara;Journal of Computational Physics,2000

2. Upwind methods for hyperbolic conservation laws with source terms;Bermudez;Computers and Fluids,1994

3. Balanced finite volume WENO and central WENO schemes for the shallow water and the open-channel flow equations;Crnjaric-Zic;Journal of Computational Physics,2004

4. F. Filbet, C.-W. Shu, Approximation of hyperbolic models for chemosensitive movement, SIAM Journal on Scientific Computing, submitted for publication

5. N. Goutal, F. Maurel, Proceedings of the Second Workshop on Dam-Break Wave Simulation, Technical Report HE-43/97/016/A, Electricité de France, Département Laboratoire National d’Hydraulique, Groupe Hydraulique Fluviale, 1997

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