Linearly implicit all Mach number shock capturing schemes for the Euler equations

Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations

Uri M. Ascher, Steven J. Ruuth, Raymond J. Spiteri · Applied Numerical Mathematics · 1997 · 1.3K citations

Natural Sciences, Computational Engineering, Mathematics +14

Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids

Sergiù Klainerman, Andrew J. Majda · Communications on Pure and Applied Mathematics · 1981 · 915 citations

Natural Sciences, Mathematics, Physics +15

Preconditioned methods for solving the incompressible and low speed compressible equations

Eli Turkel · Journal of Computational Physics · 1987 · 817 citations · Full text

Natural Sciences, Mathematics, Mechanical Engineering +12

Upwind difference schemes for hyperbolic systems of conservation laws

Stanley Osher, Fred Solomon · Mathematics of Computation · 1982 · 775 citations

Natural Sciences, Mathematics, Physics +17

Hyperbolic conservation laws with stiff relaxation terms and entropy

Gui‐Qiang Chen, C. David Levermore, Tai‐Ping Liu · Communications on Pure and Applied Mathematics · 1994 · 664 citations

Natural Sciences, Physics, Dynamical Systems +16