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Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws 120 125 (2013)
DOI: 10.1007/978-3-642-33221-0_8
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A new second-order modified hydrostatic reconstruction for the shallow water flows with a discontinuous topography

Jian Dong and Ding Fang Li
Applied Numerical Mathematics 161 408 (2021)
DOI: 10.1016/j.apnum.2020.11.019
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An effect non-staggered central scheme based on new hydrostatic reconstruction

Jian Dong and Ding Fang Li
Applied Mathematics and Computation 372 124992 (2020)
DOI: 10.1016/j.amc.2019.124992
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Energy-stable staggered schemes for the Shallow Water equations

Arnaud Duran, Jean-Paul Vila and Rémy Baraille
Journal of Computational Physics 401 109051 (2020)
DOI: 10.1016/j.jcp.2019.109051
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A robust central scheme for the shallow water flows with an abrupt topography based on modified hydrostatic reconstructions

Jian Dong
Mathematical Methods in the Applied Sciences 43 (15) 9024 (2020)
DOI: 10.1002/mma.6597
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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)
DOI: 10.1016/j.jcp.2017.12.026
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Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system

Xin Liu, Jason Albright, Yekaterina Epshteyn and Alexander Kurganov
Journal of Computational Physics 374 213 (2018)
DOI: 10.1016/j.jcp.2018.07.038
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High-Order Accurate Flux-Splitting Scheme for Conservation Laws with Discontinuous Flux Function in Space

Tingting Xiang, Guodong Wang and Suping Zhang
Mathematics 9 (10) 1079 (2021)
DOI: 10.3390/math9101079
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A high‐order PIC method for advection‐dominated flow with application to shallow water waves

W. Wang and D.M. Kelly
International Journal for Numerical Methods in Fluids 87 (11) 583 (2018)
DOI: 10.1002/fld.4506
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A Direct Eulerian GRP Scheme for a Blood Flow Model in Arteries

Wancheng Sheng, Qinglong Zhang and Yuxi Zheng
SIAM Journal on Scientific Computing 43 (3) A1975 (2021)
DOI: 10.1137/19M1284476
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Luka Sopta, Nelida Črnjarić-Žic, Senka Vuković, Danko Holjević, Jerko Škifić and Siniša Družeta
293 (2005)
DOI: 10.1007/1-4020-3197-1_22
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Benoît Perthame and Chiara Simeoni
61 (2003)
DOI: 10.1007/978-3-642-55711-8_5
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Numerical solution of compressible Euler and Magnetohydrodynamic flow past an infinite cone

Ian Holloway and Sivaguru S. Sritharan
Applications in Engineering Science 6 100048 (2021)
DOI: 10.1016/j.apples.2021.100048
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