efficiently simulating an amari dynamics of a neural field , the amari dynamics being specified by the equation where a is the state of the neural field , represented in a spatial domain using coordinates x , t , i is a function stating the input to the neural field at time t , f is a bounded monotonic transfer function having values between 0 and 1 , f is an interaction kernel , s specifies the time scale on which the neural field changes and h is a constant specifying the global excitation or inhibition of the neural field . a method for simulating an amari dynamics of a neural field , comprising the step of simulating an application of the transfer function to the neural field . according to the invention , the step of simulating an application of the transfer function comprises smoothing the neural field by applying a smoothing operator .