FS 680 3: Chemical kinetics problems
RCHEM radiation chemistry study -- 3rd output time step

from set FACSIMILE, from the Harwell-Boeing Collection

Mixed kinetics diffusion problem from radiation chemistry. 17 chemical species and one space dimension with 40 mesh points. The diffusion terms are large compared with the kinetics terms. However, 440 columns are identically those of the unit matrix which possibly provides a good test for methods which cannot exploit such a feature properly (for example, methods which assume symmetry).

Download as

Compressed MatrixMarket format file: fs_680_3.mtx.gz (23559 bytes)
Compressed Harwell-Boeing format file: fs_680_3.rua.gz (22346 bytes)

Visualizations

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Structure Plot	City Plot
Spectral Portrait	3D Interactive City Plot
	[ VRML Version 2, gzipped ] 320744 bytes

Matrix Statistics

Size	Type
680 x 680, 2646 entries	real unsymmetric
Nonzeros
total diagonal below diagonal above diagonal A-A' 2471 680 1247 544 2578
Column Data	Row Data
Average nonzeros per column : 3.6 Standard deviation : 3.9 index nonzeros longest 2 13 shortest 80 1	Average nonzeros per row : 3.6 Standard deviation : 2.2 index nonzeros longest 162 8 shortest 40 1
Bandwidths	Profile Storage
lower 561 upper 281 average |i-j| 1.1e+02 std.dev. 1.4e+02	min max ave. std.dev. lower bandwidth 0 560 2e+02 1.9e+02 upper bandwidth 0 280 37 73 Nonsymmetric skyline storage 158241
Heaviest diagonals
offset from main 0 1 -1 -120 -40 -160 -80 120 -200 -400 nonzeros 680 232 229 157 156 117 117 117 79 78 accumulated percent 27.52 36.91 46.18 52.53 58.84 63.58 68.31 73.05 76.24 79.40 Top 10 out of 20 nonvoid diagonals.
Conditioning
Frobenius norm 1.2e+14 condition number (est.) 4.2e+06 2-norm (est.) 7.2e+13 diagonal dominance no

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Last change in this page: Wed Sep 22 13:33:38 US/Eastern 2004 [Comments: ]