On positivity preserving finite volume schemes for Euler equations

Efficient implementation of essentially non-oscillatory shock-capturing schemes, II

Chi‐Wang Shu, Stanley Osher · Journal of Computational Physics · 1989 · 4.9K citations

Natural Sciences, Computational Engineering, Physics +10

On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws

Amiram Harten, Peter D. Lax, Bram van Leer · SIAM Review · 1983 · 3.3K citations

Natural Sciences, Mechanical Engineering, Physics +12

TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework

Bernardo Cockburn, Chi‐Wang Shu · Mathematics of Computation · 1989 · 1.9K citations · Full text

Computing, Computational Engineering, Mechanical Engineering +17

The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case

Bernardo Cockburn, Suchung Hou, Chi‐Wang Shu · Mathematics of Computation · 1990 · 1.4K citations · Full text

Computing, Computational Engineering, Computational Mechanics +13

Second-Order Boltzmann Schemes for Compressible Euler Equations in One and Two Space Dimensions

Benoı̂t Perthame · SIAM Journal on Numerical Analysis · 1992 · 180 citations

Natural Sciences, Mathematics, Physics +13