On multioperators principle for constructing arbitrary-order difference schemes

Low-Dissipative High-Order Shock-Capturing Methods Using Characteristic-Based Filters

H. C. Yee, Neil D. Sandham, M. Jahed Djomehri · Journal of Computational Physics · 1999 · 606 citations · Full text

Engineering, Computational Engineering, Mechanical Engineering +6

On the stability of difference schemes

Peter D. Lax, Burton Wendroff · Communications on Pure and Applied Mathematics · 1962 · 177 citations

Computing, Mathematics, Finite Element Methods +9

Nonoscillatory High Order Accurate Self-Similar Maximum Principle Satisfying Shock Capturing Schemes I

Xudong Liu, Stanley Osher · SIAM Journal on Numerical Analysis · 1996 · 160 citations

Natural Sciences, Physics, Computational Fluid Dynamics +15

On Performance of Methods with Third- and Fifth-Order Compact Upwind Differencing

A. I. Tolstykh, Michael V. Lipavskii · Journal of Computational Physics · 1998 · 51 citations

Computing, Computational Engineering, Computational Fluid Dynamics +7