Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Well-balanced schemes versus fractional step method for hyperbolic systems with source terms

Thierry Gallouet, Jean-Marc Hérard, Olivier Hurisse and Alain-Yves LeRoux
Calcolo 43 (4) 217 (2006)
https://doi.org/10.1007/s10092-006-0123-7

The generalized Riemann problem method for the shallow water equations with bottom topography

Jiequan Li and Guoxian Chen
International Journal for Numerical Methods in Engineering 65 (6) 834 (2006)
https://doi.org/10.1002/nme.1471

High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms

Yulong Xing and Chi-Wang Shu
Journal of Computational Physics 214 (2) 567 (2006)
https://doi.org/10.1016/j.jcp.2005.10.005

Simulation of shallow flows over variable topographies using unstructured grids

A. Mohammadian and D. Y. Le Roux
International Journal for Numerical Methods in Fluids 52 (5) 473 (2006)
https://doi.org/10.1002/fld.1167

Proceedings of the Conference on Applied Mathematics and Scientific Computing

Luka Sopta, Nelida Črnjarić-Žic, Senka Vuković, et al.
Proceedings of the Conference on Applied Mathematics and Scientific Computing 293 (2005)
https://doi.org/10.1007/1-4020-3197-1_22

A mass conservative scheme for simulating shallow flows over variable topographies using unstructured grid

A. Mohamadian, D.Y. Le Roux, M. Tajrishi and K. Mazaheri
Advances in Water Resources 28 (5) 523 (2005)
https://doi.org/10.1016/j.advwatres.2004.10.006

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

Yulong Xing and Chi-Wang Shu
Journal of Computational Physics 208 (1) 206 (2005)
https://doi.org/10.1016/j.jcp.2005.02.006

From Kinetic Equations to Multidimensional Isentropic Gas Dynamics Before Shocks

F. Berthelin and A. Vasseur
SIAM Journal on Mathematical Analysis 36 (6) 1807 (2005)
https://doi.org/10.1137/S0036141003431554

Two Interface-Type Numerical Methods for Computing Hyperbolic Systems with Geometrical Source Terms Having Concentrations

Shi Jin and Xin Wen
SIAM Journal on Scientific Computing 26 (6) 2079 (2005)
https://doi.org/10.1137/040605825

A well-balanced positivity preserving “second-order” scheme for shallow water flows on unstructured meshes

Emmanuel Audusse and Marie-Odile Bristeau
Journal of Computational Physics 206 (1) 311 (2005)
https://doi.org/10.1016/j.jcp.2004.12.016

Proceedings of the Conference on Applied Mathematics and Scientific Computing

Senka Vuković, Nelida Črnjarić-Žic and Luka Sopta
Proceedings of the Conference on Applied Mathematics and Scientific Computing 329 (2005)
https://doi.org/10.1007/1-4020-3197-1_25

A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows

Emmanuel Audusse, François Bouchut, Marie-Odile Bristeau, Rupert Klein and Benoı⁁t Perthame
SIAM Journal on Scientific Computing 25 (6) 2050 (2004)
https://doi.org/10.1137/S1064827503431090

Solution of the shallow‐water equations using an adaptive moving mesh method

Huazhong Tang
International Journal for Numerical Methods in Fluids 44 (7) 789 (2004)
https://doi.org/10.1002/fld.681

A new two-dimensional Shallow Water model including pressure effects and slow varying bottom topography

Stefania Ferrari and Fausto Saleri
ESAIM: Mathematical Modelling and Numerical Analysis 38 (2) 211 (2004)
https://doi.org/10.1051/m2an:2004010

Improved non‐staggered central NT schemes for balance laws with geometrical source terms

N. Črnjarić‐Žic, S. Vuković and L. Sopta
International Journal for Numerical Methods in Fluids 46 (8) 849 (2004)
https://doi.org/10.1002/fld.790

Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint

Florent Berthelin
ESAIM: Mathematical Modelling and Numerical Analysis 37 (3) 479 (2003)
https://doi.org/10.1051/m2an:2003038

Transport of Pollutant in Shallow Water A Two Time Steps Kinetic Method

Emmanuel Audusse and Marie-Odile Bristeau
ESAIM: Mathematical Modelling and Numerical Analysis 37 (2) 389 (2003)
https://doi.org/10.1051/m2an:2003034

Upwind Schemes with Exact Conservation Property for One-Dimensional Open Channel Flow Equations

Senka Vukovic and Luka Sopta
SIAM Journal on Scientific Computing 24 (5) 1630 (2003)
https://doi.org/10.1137/S1064827501392211

Space Localization and Well-Balanced Schemes for Discrete Kinetic Models in Diffusive Regimes

Laurent Gosse and Giuseppe Toscani
SIAM Journal on Numerical Analysis 41 (2) 641 (2003)
https://doi.org/10.1137/S0036142901399392

Finite volume schemes with equilibrium type discretization of source terms for scalar conservation laws

Ramaz Botchorishvili and Olivier Pironneau
Journal of Computational Physics 187 (2) 391 (2003)
https://doi.org/10.1016/S0021-9991(03)00086-X

Relaxation schemes for the shallow water equations

A. I. Delis and Th. Katsaounis
International Journal for Numerical Methods in Fluids 41 (7) 695 (2003)
https://doi.org/10.1002/fld.462

Asymptotically balanced schemes for non-homogeneous hyperbolic systems – application to the Shallow Water equations

Tomás Chacón Rebollo, Antonio Domı́nguez Delgado and Enrique D. Fernández Nieto
Comptes Rendus. Mathématique 338 (1) 85 (2003)
https://doi.org/10.1016/j.crma.2003.11.008

TWO MOMENT SYSTEMS FOR COMPUTING MULTIPHASE SEMICLASSICAL LIMITS OF THE SCHRÖDINGER EQUATION

LAURENT GOSSE, SHI JIN and XIANTAO LI
Mathematical Models and Methods in Applied Sciences 13 (12) 1689 (2003)
https://doi.org/10.1142/S0218202503003082

An entropy-correction free solver for non-homogeneous shallow water equations

Tomás Chacón Rebollo, Antonio Domínguez Delgado and Enrique D. Fernández Nieto
ESAIM: Mathematical Modelling and Numerical Analysis 37 (5) 755 (2003)
https://doi.org/10.1051/m2an:2003043

Central-Upwind Schemes for the Saint-Venant System

Alexander Kurganov and Doron Levy
ESAIM: Mathematical Modelling and Numerical Analysis 36 (3) 397 (2002)
https://doi.org/10.1051/m2an:2002019