A stable high-order finite difference scheme for the compressible Navier–Stokes equations

Approximate Riemann solvers, parameter vectors, and difference schemes

Philip L. Roe · Journal of Computational Physics · 1981 · 9K citations

Numerical Analysis, Numerical Computation, Engineering +4

Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes

Philip L. Roe · Journal of Computational Physics · 1997 · 6.3K citations

Numerical Analysis, Numerical Computation, Engineering +4

A diagonal form of an implicit approximate-factorization algorithm

Thomas H. Pulliam, D. CHAUSSEE · Journal of Computational Physics · 1981 · 1.2K citations

Mathematical Programming, Diagonal Form, Numerical Analysis +6

Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems: Methodology and Application to High-Order Compact Schemes

Mark H. Carpenter, David Gottlieb, Saul Abarbanel · Journal of Computational Physics · 1994 · 674 citations · Full text

Numerical Analysis, Engineering, Hyperbolic Conservation Law +8

Summation by Parts for Finite Difference Approximations for d/dx

Bo Strand · Journal of Computational Physics · 1994 · 650 citations

Numerical Analysis, Mathematical Programming, Pade Approximant +5