Engquist–Majda absorbing boundary condition

In numerical methods for partial differential equations, Engquist–Majda absorbing boundary conditions or Lindman–Engquist–Majda absorbing boundary conditions are a hierarchy of absorbing boundary conditions for the numerical solution of wave equations. Named after mathematicians Björn Engquist and Andrew Majda, they are designed to allow waves to exit a finite computational domain with minimal artificial reflection through the use of one-way wave equations, essentially making the boundaries transparent to outgoing radiation. Within the context of computational electromagnetics, they are known as Mur absorbing boundary condition after Gerrit Mur, who introduced a discretized version of the boundary conditions for finite-difference time-domain method in 1981.