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

from set FACSIMILE, from the Harwell-Boeing Collection

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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).


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Visualizations

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Structure Plot City Plot
structure plot city plot
Spectral Portrait 3D Interactive City Plot
spectral portrait

[ VRML Version 2, gzipped ] 320744 bytes


Matrix Statistics

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Size Type
680 x 680, 2646 entries real unsymmetric
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
2471 680 1247 544 2578
Column Data Row Data
Average nonzeros per column : 3.6
Standard deviation : 3.9

indexnonzeros
longest2 13
shortest80 1

Average nonzeros per row : 3.6
Standard deviation : 2.2

indexnonzeros
longest162 8
shortest40 1

Bandwidths Profile Storage
lower561 upper281
average |i-j|1.1e+02 std.dev.1.4e+02
minmaxave.std.dev.
lower bandwidth0 560 2e+02 1.9e+02
upper bandwidth0 280 37 73

Nonsymmetric skyline storage 158241

Heaviest diagonals
offset from main0 1 -1 -120 -40 -160 -80 120 -200 -400
nonzeros680 232 229 157 156 117 117 117 79 78
accumulated percent27.5236.9146.1852.5358.8463.5868.3173.0576.2479.40

Top 10 out of 20 nonvoid diagonals.
Conditioning
Frobenius norm1.2e+14 condition number (est.)4.2e+06
2-norm (est.)7.2e+13 diagonal dominanceno


Set Information

Set FACSIMILE
Source: Alan Curtis, Computer Science and Systems Division, AERE Harwell.
Discipline:Chemical kinetics
Accession:August 1983


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