mwang@watmath.UUCP (mwang) (05/08/84)
_D_E_P_A_R_T_M_E_N_T _O_F _C_O_M_P_U_T_E_R _S_C_I_E_N_C_E _U_N_I_V_E_R_S_I_T_Y _O_F _W_A_T_E_R_L_O_O _S_E_M_I_N_A_R _A_C_T_I_V_I_T_I_E_S _N_U_M_E_R_I_C_A_L _A_N_A_L_Y_S_I_S _S_E_M_I_N_A_R - Wednesday, May 16, 1984. Dr. C. Eilbeck of Los Alamos National laboratory will speak on ``Numerical Studies of Reaction-Diffusion Sys- tems.'' TIME: 1:30 PM ROOM: MC 6091A ABSTRACT Coupled sets of reaction-diffusion equations are often used to model pattern formation problems in biology. A short computer-producted cine film will be shown to il- lustrate the evolution of perturbed homogeneous initial conditions into a variety of time-independent spatial patterns. Some numerical methods for such equations will be discussed, with particular emphasis on the pseudo-spectral method and comparisons with finite difference techniques. Finally a combination of path- following techniques and the pseudo-spectral method will be used to calculate the full bifurcation diagram for a model problem. May 8, 1984