Improvements of semi-implicit schemes for hyperbolic balance laws applied on open channel flow equations

Upwind methods for hyperbolic conservation laws with source terms

Alfredo Bermúdez, Ma Elena Vazquez · Computers & Fluids · 1994 · 1K citations

Natural Sciences, Physics, Computational Fluid Dynamics +12

A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows

Emmanuel Audusse, François Bouchut, Marie-Odile Bristeau et al. · SIAM Journal on Scientific Computing · 2004 · 981 citations

Natural Sciences, Earth Sciences, Oceanography +17

On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes

Ami Harten · SIAM Journal on Numerical Analysis · 1984 · 718 citations

Natural Sciences, Computational Engineering, Physics +17

Construction of explicit and implicit symmetric TVD schemes and their applications

H. C. Yee · Journal of Computational Physics · 1987 · 487 citations

Computing, Computer Science, Mathematics +2

A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System

Alexander Kurganov, Guergana Petrova · Communications in Mathematical Sciences · 2007 · 426 citations · Full text

Engineering, Earth Sciences, Computational Fluid Dynamics +12