On the practical use of high-order methods for hyperbolic systems

On the Construction and Comparison of Difference Schemes

Gilbert Strang · SIAM Journal on Numerical Analysis · 1968 · 3.5K citations

Natural Sciences, Mathematics, Computational Mechanics +16

Supersonic Flow and Shock Waves

M. J. Lighthill · Nature · 1949 · 2.2K citations · Full text

Engineering, Aerospace Engineering, Physics +13

An implicit finite-difference algorithm for hyperbolic systems in conservation-law form

Richard M. Beam, R. F. Warming · Journal of Computational Physics · 1976 · 1.1K citations

Natural Sciences, Mathematics, Physics +15

Comparison of accurate methods for the integration of hyperbolic equations

Heinz‐Otto Kreiss, Joseph Oliger · Tellus · 1972 · 565 citations

Natural Sciences, Meteorology, Oceanography +9

Stability theory of difference approximations for mixed initial boundary value problems. II

Bertil Gustafsson, Heinz‐Otto Kreiss, Arne Sundström · Mathematics of Computation · 1972 · 524 citations

Natural Sciences, Physics, Differential Equations +14