The correct use of the Lax–Friedrichs method
ESAIM: M2AN, 38 3 (2004) 519-540
Published online: 2004-06-15
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):
Explicit predictor–corrector method for nonlinear acoustic waves excited by a moving wave emitting boundary
Sören Schenke, Fabian Sewerin, Berend van Wachem and Fabian DennerJournal of Sound and Vibration 527 116814 (2022)
https://doi.org/10.1016/j.jsv.2022.116814
A phase field model for compressible immiscible fluids with a new equation of state
Hao Dai, Shixin Xu, Zhiliang Xu, et al.International Journal of Multiphase Flow 149 103937 (2022)
https://doi.org/10.1016/j.ijmultiphaseflow.2021.103937
On the range diminishing property of numerical schemes for scalar conservation laws
A.J. KrielJournal of Computational and Applied Mathematics 381 113013 (2021)
https://doi.org/10.1016/j.cam.2020.113013
Implicit method for the solution of supersonic and hypersonic 3D flow problems with Lower-Upper Symmetric-Gauss-Seidel preconditioner on multiple graphics processing units
A.N. Bocharov, N.M. Evstigneev, V.P. Petrovskiy, O.I. Ryabkov and I.O. TeplyakovJournal of Computational Physics 406 109189 (2020)
https://doi.org/10.1016/j.jcp.2019.109189
An Analysis on Induced Numerical Oscillations by Lax-Friedrichs Scheme
Ritesh Kumar Dubey and Biswarup BiswasDifferential Equations and Dynamical Systems 25 (2) 151 (2017)
https://doi.org/10.1007/s12591-016-0311-0
On the origin of divergence errors in MHD simulations and consequences for numerical schemes
Friedemann KemmCommunications in Applied Mathematics and Computational Science 8 (1) 1 (2013)
https://doi.org/10.2140/camcos.2013.8.1
Scale Space and Variational Methods in Computer Vision
Kai Hagenburg, Michael Breuß, Joachim Weickert and Oliver VogelLecture Notes in Computer Science, Scale Space and Variational Methods in Computer Vision 6667 532 (2012)
https://doi.org/10.1007/978-3-642-24785-9_45
Information Computing and Applications
Yun Wu and Dong QuCommunications in Computer and Information Science, Information Computing and Applications 307 313 (2012)
https://doi.org/10.1007/978-3-642-34038-3_43
Information Computing and Applications
Wei Tong and Yun WuCommunications in Computer and Information Science, Information Computing and Applications 307 321 (2012)
https://doi.org/10.1007/978-3-642-34038-3_44
Information Computing and Applications
Haixin Jiang and Wei TongLecture Notes in Computer Science, Information Computing and Applications 7473 269 (2012)
https://doi.org/10.1007/978-3-642-34062-8_35
Information Computing and Applications
Yun Wu, Hai-xin Jiang and Wei TongLecture Notes in Computer Science, Information Computing and Applications 7030 305 (2011)
https://doi.org/10.1007/978-3-642-25255-6_39
Heuristic Modified Equation Analysis on Oscillations in Numerical Solutions of Conservation Laws
Jiequan Li and Zhicheng YangSIAM Journal on Numerical Analysis 49 (6) 2386 (2011)
https://doi.org/10.1137/110822591
Local oscillations in finite difference solutions of hyperbolic conservation laws
Jiequan Li, Huazhong Tang, Gerald Warnecke and Lumei ZhangMathematics of Computation 78 (268) 1997 (2009)
https://doi.org/10.1090/S0025-5718-09-02219-4
Residual distribution schemes: Current status and future trends
Rémi AbgrallComputers & Fluids 35 (7) 641 (2006)
https://doi.org/10.1016/j.compfluid.2005.01.007
Oscillatory instabilities of high‐resolution TVD central schemes for hyperbolic conservation laws
Michael BreußPAMM 5 (1) 761 (2005)
https://doi.org/10.1002/pamm.200510355
Scale Space and PDE Methods in Computer Vision
Michael Breuß, Thomas Brox, Thomas Sonar and Joachim WeickertLecture Notes in Computer Science, Scale Space and PDE Methods in Computer Vision 3459 536 (2005)
https://doi.org/10.1007/11408031_46
Total oscillation diminishing property for scalar conservation laws
Beno�t Perthame and Michael WestdickenbergNumerische Mathematik 100 (2) 331 (2005)
https://doi.org/10.1007/s00211-005-0602-9
An analysis of the influence of data extrema on some first and second order central approximations of hyperbolic conservation laws
Michael BreussESAIM: Mathematical Modelling and Numerical Analysis 39 (5) 965 (2005)
https://doi.org/10.1051/m2an:2005042