Convergence of Deterministic Growth Models

We prove the uniform in space and time convergence of scaled heights large classes deterministic growth models that are monotone equivariant under translations by constants. The limits characterized as unique (viscosity solutions) first- or second-order partial differential equations depending on whether hyperbolically parabolically. results greatly simplify extend a recent work first author to more general surface models. proofs based methodology developed Barles second approximation schemes.