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Second-Order Accurate Structure-Preserving Scheme for Solute Transport on Polygonal Meshes
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High Order Well-Balanced ADER Discontinuous Galerkin Scheme for Shallow Water Wave Equations
Subspace System Identification of a Pilot Tunnel System of a Combined Sewage System
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Stability analysis and convergence rate of a two-step predictor-corrector approach for shallow water equations with source terms
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Modeling Open Channel Flows of a Viscous Fluid: Critical Transition and Apparent Bottom
Propagation of diffusing pollutant by kinetic flux-vector splitting method
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Investigation of the Ripa Model via NHRS Scheme with Its Wide-Ranging Applications
A semi-discrete Lagrangian–Eulerian scheme for hyperbolic-transport models
Eduardo Abreu, Jean François, Wanderson Lambert and John Pérez Journal of Computational and Applied Mathematics 406 114011 (2022) https://doi.org/10.1016/j.cam.2021.114011
Well-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system
Alexander Kurganov, Zhuolin Qu and Tong Wu ESAIM: Mathematical Modelling and Numerical Analysis 56(4) 1327 (2022) https://doi.org/10.1051/m2an/2022041
Improved Modeling of Flows in Sewer Pipes with a Novel, Well-Balanced MUSCL Scheme
Hyperbolicity-Preserving and Well-Balanced Stochastic Galerkin Method for Shallow Water Equations
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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
High order sign-preserving and well-balanced exponential Runge-Kutta discontinuous Galerkin methods for the shallow water equations with friction
A central-upwind scheme for two-layer shallow-water flows with friction and entrainment along channels
Gerardo Hernandez-Duenas and Jorge Balbás ESAIM: Mathematical Modelling and Numerical Analysis 55(5) 2185 (2021) https://doi.org/10.1051/m2an/2021052
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A well-balanced ADER discontinuous Galerkin method based on differential transformation procedure for shallow water equations
Moving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant System
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Open Water Flow in a Wet/Dry Multiply-Connected Channel Network: A Robust Numerical Modeling Algorithm
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A well-balanced central-upwind scheme for the thermal rotating shallow water equations
A New Approach for Designing Moving-Water Equilibria Preserving Schemes for the Shallow Water Equations
Yuanzhen Cheng, Alina Chertock, Michael Herty, Alexander Kurganov and Tong Wu Journal of Scientific Computing 80(1) 538 (2019) https://doi.org/10.1007/s10915-019-00947-w
A modified central discontinuous Galerkin method with positivity-preserving and well-balanced properties for the one-dimensional nonlinear shallow water equations
Path-conservative central-upwind schemes for nonconservative hyperbolic systems
Manuel Jesús Castro Díaz, Alexander Kurganov and Tomás Morales de Luna ESAIM: Mathematical Modelling and Numerical Analysis 53(3) 959 (2019) https://doi.org/10.1051/m2an/2018077
A Well-balanced Positivity Preserving Central-upwind Scheme for Shallow Water Flows over Uneven Topography