RBmatlab is a MATLAB© library providing routines for the solution of numerical schemes based on partial differential equations. The library consists of three main modules: (M1) Discretization methods implementing grid-based discretization operators of partial differential equations. (M2) Reduced basis generation routines providing a collection of algorithms and data structures which can be used to generate, store and post-process reduced basis spaces. (M3) Implementations of reduced models providing efficient reduced simulation routines for specific problem classes, such as: Linear evolution equations, Non-linear evolution equations, Linear stationary PDEs. ..