Abstract: We calculated the attractor dimensions of the forced Brusselator in autonomous form using the Poincare section method in order to reduce the dimension of the phase space concerned by one.This enables the computation of Kolmogoroff capacity dc with limited storage and facilitates the calculation of the Lyapunov dimension d_L · In calculating d_o we used a cell-merging scheme to get a set of N (ε) correspoonding to different ε, s, while the differential equations were being solved only once for a given set of parameter values Both computer time and stora-gewere saved in this way. In theis paper we makeemphasis on the thechnical subtleties encountered in numerical calculation.