K. Meerbergen, Katholieke Universiteit Leuven, Belgium and A. Spence, University of Bath, UK

Discipline:

Chemical engineering

The equations

for u and with homogeneous Dirichlet boundary conditions form a 2D reaction-diffusion model where u and v represent the concentrations of two reactions. The equations are discretized with central differences with grid size h_{u} = h_{v} = with . For , the discretized equations can be written as . One wants to compute the rightmost eigenvalues of the Jacobi matrix , with the parameters B = 5.45, C = 2, D_{u} = 0.004, D_{v} = 0.008. The parameter L varies.

Matrices in this set:

RDB1250 (real unsymmetric, 1250 by 1250, 7300 entries), L=0.5

RDB1250L (real unsymmetric, 1250 by 1250, 7300 entries), L=1.0

RDB200 (real unsymmetric, 200 by 200, 1120 entries), L=0.5

RDB200L (real unsymmetric, 200 by 200, 1120 entries), L=1.0

RDB2048 (real unsymmetric, 2048 by 2048, 12032 entries), L=0.5

RDB2048L (real unsymmetric, 2048 by 2048, 12032 entries), L=1.0

RDB3200L (real unsymmetric, 3200 by 3200, 18880 entries), L=1.0

RDB450 (real unsymmetric, 450 by 450, 2580 entries), L=0.5

RDB450L (real unsymmetric, 450 by 450, 2580 entries), L=1.0

RDB800L (real unsymmetric, 800 by 800, 4640 entries), L=1.0

RDB968 (real unsymmetric, 968 by 968, 5632 entries), L=0.5