A kinetic scheme for the Saint-Venant system¶with a source term

Upwind methods for hyperbolic conservation laws with source terms

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Natural Sciences, Physics, Computational Fluid Dynamics +12

Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods: The Quasi-Steady Wave-Propagation Algorithm

Randall J. LeVeque · Journal of Computational Physics · 1998 · 801 citations

Natural Sciences, Computational Engineering, Earth Sciences +10

A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations

J. M. Greenberg, Alain Leroux · SIAM Journal on Numerical Analysis · 1996 · 669 citations

Natural Sciences, Mathematics, Physics +17

Derivation of viscous Saint-Venant system for laminar shallow water; Numerical validation

Jean-Frédéric Gerbeau, Benoı̂t Perthame · Discrete and Continuous Dynamical Systems - B · 2001 · 366 citations · Full text

Natural Sciences, Ocean Engineering, Physics +17

Kinetic formulation of the isentropic gas dynamics andp-systems

Pierre‐Louis Lions, Benoı̂t Perthame, Eitan Tadmor · Communications in Mathematical Physics · 1994 · 351 citations · Full text

Natural Sciences, Mechanical Engineering, Physics +13