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).
An operational discontinuous Galerkin shallow water model for coastal flood assessment
A.G. Filippini, L. Arpaia, V. Perrier, R. Pedreros, P. Bonneton, D. Lannes, F. Marche, S. De Brye, S. Delmas, S. Lecacheux, F. Boulahya and M. Ricchiuto Ocean Modelling 192 102447 (2024) https://doi.org/10.1016/j.ocemod.2024.102447
A positivity-preserving well-balanced wet-dry front reconstruction for shallow water equations on rectangular grids
Semi-discrete entropy-preserving surface reconstruction schemes for the shallow water equations: Analysis of physical structures
Jian Dong and Xu Qian Journal of Computational Physics 508 112995 (2024) https://doi.org/10.1016/j.jcp.2024.112995
Andrea Gilberto Filippini, Luca Arpaia, Vincent Perrier, Rodrigo Pedreros, Philippe Bonneton, David Lannes, Fabien Marche, Sebastien De Brye, Simon Delmas, Sophie Lecacheux, Faiza Boulahya and Mario Ricchiuto (2024) https://doi.org/10.2139/ssrn.4808242
A Well-Balanced Scheme for Euler Equations with Singular Sources
Numerical Approximation of Hyperbolic Systems of Conservation Laws
Edwige Godlewski and Pierre-Arnaud Raviart Applied Mathematical Sciences, Numerical Approximation of Hyperbolic Systems of Conservation Laws 118 627 (2021) https://doi.org/10.1007/978-1-0716-1344-3_7
A well‐balanced positivity‐preserving central‐upwind scheme for one‐dimensional blood flow models
Gerardo Hernandez‐Duenas and Guillermo Ramirez‐Santiago International Journal for Numerical Methods in Fluids 93(2) 369 (2021) https://doi.org/10.1002/fld.4887
A new second-order modified hydrostatic reconstruction for the shallow water flows with a discontinuous topography
Moving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant System
Xin Liu, Xi Chen, Shi Jin, Alexander Kurganov, Tong Wu and Hui Yu SIAM Journal on Scientific Computing 42(4) A2206 (2020) https://doi.org/10.1137/19M1258098
A fast, robust, and simple Lagrangian–Eulerian solver for balance laws and applications
Theory, Numerics and Applications of Hyperbolic Problems I
Alina Chertock, Michael Herty and Şeyma Nur Özcan Springer Proceedings in Mathematics & Statistics, Theory, Numerics and Applications of Hyperbolic Problems I 236 345 (2018) https://doi.org/10.1007/978-3-319-91545-6_28
A kinetic flux vector splitting scheme for shallow water equations incorporating variable bottom topography and horizontal temperature gradients
Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes
Alina Chertock, Shumo Cui, Alexander Kurganov, Şeyma Nur Özcan and Eitan Tadmor Journal of Computational Physics 358 36 (2018) https://doi.org/10.1016/j.jcp.2017.12.026
Well-balanced schemes for the shallow water equations with Coriolis forces
Alina Chertock, Michael Dudzinski, Alexander Kurganov and Mária Lukáčová-Medvid’ová Numerische Mathematik 138(4) 939 (2018) https://doi.org/10.1007/s00211-017-0928-0
High order well-balanced discontinuous Galerkin methods based on hydrostatic reconstruction for shallow water equations
A shallow water with variable pressure model for blood flow simulation
Pierre-Yves Lagrée, José-Maria Fullana, Arthur R. Ghigo and Olivier Delestre Networks and Heterogeneous Media 11(1) 69 (2016) https://doi.org/10.3934/nhm.2016.11.69
Time asymptotic high order schemes for dissipative BGK hyperbolic systems
Fully well-balanced, positive and simple approximate Riemann solver for shallow water equations
C. Berthon, C. Chalons, S. Cornet and G. Sperone Bulletin of the Brazilian Mathematical Society, New Series 47(1) 117 (2016) https://doi.org/10.1007/s00574-016-0126-1
A central-upwind scheme with artificial viscosity for shallow-water flows in channels
Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws
Yunlong Chen, Alexander Kurganov, Minlan Lei and Yu Liu Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws 120 125 (2013) https://doi.org/10.1007/978-3-642-33221-0_8
A Well-Balanced Reconstruction of Wet/Dry Fronts for the Shallow Water Equations
Andreas Bollermann, Guoxian Chen, Alexander Kurganov and Sebastian Noelle Journal of Scientific Computing 56(2) 267 (2013) https://doi.org/10.1007/s10915-012-9677-5
A well‐balanced stable generalized Riemann problem scheme for shallow water equations using adaptive moving unstructured triangular meshes
Feng Zhou, Guoxian Chen, Sebastian Noelle and Huaicheng Guo International Journal for Numerical Methods in Fluids 73(3) 266 (2013) https://doi.org/10.1002/fld.3800
A ‘well‐balanced’ finite volume scheme for blood flow simulation
O. Delestre and P.‐Y. Lagrée International Journal for Numerical Methods in Fluids 72(2) 177 (2013) https://doi.org/10.1002/fld.3736
Large Time Step and Asymptotic Preserving Numerical Schemes for the Gas Dynamics Equations with Source Terms
Christophe Chalons, Mathieu Girardin and Samuel Kokh SIAM Journal on Scientific Computing 35(6) A2874 (2013) https://doi.org/10.1137/130908671
On the well-balanced numerical discretization of shallow water equations on unstructured meshes
Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system
Steve Bryson, Yekaterina Epshteyn, Alexander Kurganov and Guergana Petrova ESAIM: Mathematical Modelling and Numerical Analysis 45(3) 423 (2011) https://doi.org/10.1051/m2an/2010060
Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances
François Bouchut Edited Series on Advances in Nonlinear Science and Complexity, Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances 2 189 (2007) https://doi.org/10.1016/S1574-6909(06)02004-1
Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem
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
Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
Sebastian Noelle, Normann Pankratz, Gabriella Puppo and Jostein R. Natvig Journal of Computational Physics 213(2) 474 (2006) https://doi.org/10.1016/j.jcp.2005.08.019