In computational mathematics, the Lax–Wendroff theorem, named after Peter Lax and Burton Wendroff, states that if a conservative numerical scheme for a hyperbolic system of conservation laws converges, then it converges towards a weak solution.
See also Lax–Wendroff method Godunov's scheme
References Randall J. LeVeque, Numerical methods for conservation laws, Birkhäuser, 1992 ISBN 978-3-7643-2723-1