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From: mwang@watmath.UUCP (mwang)
Newsgroups: ont.events
Subject: UW Num. Ana. Seminar, Dr. Eilbeck on "Numerical Studies of Reaction-Diffusion Systems"
Message-ID: <7690@watmath.UUCP>
Date: Tue, 8-May-84 14:02:51 EDT
Article-I.D.: watmath.7690
Posted: Tue May  8 14:02:51 1984
Date-Received: Wed, 9-May-84 02:05:19 EDT
Expires: Thu, 17-May-84 00:00:00 EDT
Organization: U of Waterloo, Ontario
Lines: 33


_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