A Class of Lagrangian–Eulerian Shock-Capturing Schemes for First-Order Hyperbolic Problems with Forcing Terms

High resolution schemes for hyperbolic conservation laws

Ami Harten · Journal of Computational Physics · 1983 · 4.1K citations · Full text

Natural Sciences, Mathematics, Physics +14

On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes

Xiangxiong Zhang, Chi‐Wang Shu · Journal of Computational Physics · 2010 · 706 citations

Natural Sciences, Computational Engineering, Mathematics +14

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

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Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes

Peter D. Lax, Xudong Liu · SIAM Journal on Scientific Computing · 1998 · 584 citations

Natural Sciences, Mathematics, Physics +14

Monotone difference approximations for scalar conservation laws

Michael G. Crandall, Andrew J. Majda · Mathematics of Computation · 1980 · 442 citations

Natural Sciences, Mathematics, Physics +17