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FS 680 1: Chemical kinetics problems
RCHEM radiation chemistry study -- 1st 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 ] 323695 bytes


Matrix Statistics

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Size Type
680 x 680, 2646 entries real unsymmetric
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
2184 680 1072 432 2220
Column Data Row Data
Average nonzeros per column : 3.2
Standard deviation : 3.4

indexnonzeros
longest2 13
shortest201 1

Average nonzeros per row : 3.2
Standard deviation : 2

indexnonzeros
longest162 8
shortest40 1

Bandwidths Profile Storage
lower561 upper281
average |i-j|98 std.dev.1.4e+02
minmaxave.std.dev.
lower bandwidth0 560 1.7e+02 1.9e+02
upper bandwidth0 280 23 59

Nonsymmetric skyline storage 133105

Heaviest diagonals
offset from main0 1 -1 -120 -40 -160 -80 120 -200 -360
nonzeros680 234 229 120 117 110 93 77 73 68
accumulated percent31.1441.8552.3457.8363.1968.2272.4876.0179.3582.46

Top 10 out of 20 nonvoid diagonals.
Conditioning
Frobenius norm1.2e+14 condition number (est.)2.1e+04
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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