1. R

    Theory and Techniques of Data Assimilation

    Suppose we have a dynamical system for a vector x = (u,v,p)^T where u,v,p are scalar quantities. Let the dynamical system be represented by the equations u_(k+1) = u_k +v_k +2p_k v_(k+1) = 2u_k +v_k +2p_k p_(k+1) = 3u_k +3v_k + p_k where k indicates the time index. we wish to apply a four-...