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:

This article has been cited by the following article(s):

Behavior of Finite Volume Schemes for Hyperbolic Conservation Laws on Adaptive Redistributed Spatial Grids

Ch. Arvanitis and A. I. Delis
SIAM Journal on Scientific Computing 28 (5) 1927 (2006)
DOI: 10.1137/050632853
See this article

A Godunov-type fractional semi-implicit method based on staggered grid for dam-break modeling

Amir Hossein Asadiani Yekta and Mohammad Ali Banihashemi
International Journal for Numerical Methods in Fluids 67 (10) 1291 (2011)
DOI: 10.1002/fld.2419
See this article

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)
DOI: 10.1016/S0021-9991(03)00086-X
See this article

Stability and Convergence of a Class of Finite Element Schemes for Hyperbolic Systems of Conservation Laws

Christos Arvanitis, Charalambos Makridakis and Athanasios E. Tzavaras
SIAM Journal on Numerical Analysis 42 (4) 1357 (2004)
DOI: 10.1137/S0036142902420436
See this article

ENTROPY CONSERVATIVE SCHEMES AND ADAPTIVE MESH SELECTION FOR HYPERBOLIC CONSERVATION LAWS

CHRISTOS ARVANITIS, CHARALAMBOS MAKRIDAKIS and NIKOLAOS I. SFAKIANAKIS
Journal of Hyperbolic Differential Equations 07 (03) 383 (2010)
DOI: 10.1142/S0219891610002177
See this article

Time discretizations for numerical optimisation of hyperbolic problems

Michael Herty and Veronika Schleper
Applied Mathematics and Computation 218 (1) 183 (2011)
DOI: 10.1016/j.amc.2011.05.116
See this article

Variants of relaxed schemes and two-dimensional gas dynamics

Mapundi Kondwani Banda
Journal of Computational and Applied Mathematics 175 (1) 41 (2005)
DOI: 10.1016/j.cam.2004.06.008
See this article

Numerical Simulation of Conservation Laws with Moving Grid Nodes: Application to Tsunami Wave Modelling

Gayaz Khakimzyanov, Denys Dutykh, Dimitrios Mitsotakis and Nina Yu. Shokina
Geosciences 9 (5) 197 (2019)
DOI: 10.3390/geosciences9050197
See this article

Method of relaxed streamline upwinding for hyperbolic conservation laws

Ameya D. Jagtap
Wave Motion 78 132 (2018)
DOI: 10.1016/j.wavemoti.2018.02.001
See this article

Numerical solution of the two-dimensional shallow water equations by the application of relaxation methods

A.I. Delis and Th. Katsaounis
Applied Mathematical Modelling 29 (8) 754 (2005)
DOI: 10.1016/j.apm.2004.11.001
See this article

Entropy dissipation of moving mesh adaptation

Mária Lukáčová-Medvid'ová and Nikolaos Sfakianakis
Journal of Hyperbolic Differential Equations 11 (03) 633 (2014)
DOI: 10.1142/S0219891614500192
See this article

Dispersive Shallow Water Waves

Gayaz Khakimzyanov, Denys Dutykh, Zinaida Fedotova and Oleg Gusev
Lecture Notes in Geosystems Mathematics and Computing, Dispersive Shallow Water Waves 45 (2020)
DOI: 10.1007/978-3-030-46267-3_2
See this article

Relaxation schemes for the shallow water equations

A. I. Delis and Th. Katsaounis
International Journal for Numerical Methods in Fluids 41 (7) 695 (2003)
DOI: 10.1002/fld.462
See this article

Hyperbolic Problems: Theory, Numerics, Applications

Theodoros Katsaounis and Charalambos Makridakis
Hyperbolic Problems: Theory, Numerics, Applications 621 (2003)
DOI: 10.1007/978-3-642-55711-8_58
See this article

Mesh Redistribution Strategies and Finite Element Schemes for Hyperbolic Conservation Laws

Christos Arvanitis
Journal of Scientific Computing 34 (1) 1 (2008)
DOI: 10.1007/s10915-007-9155-7
See this article