Nuclear Science and Engineering / Volume 50 / Number 3 / March 1973 / Pages 220-228
Technical Paper / dx.doi.org/10.13182/NSE73-A28975
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The bilinear method of cell averaging of the neutron cross sections developed by Nicholson from the variational principle has been explained and supported by a perturbation theory derivation. By introducing further approximations, a form of the method is derived which involves only the scalar fluxes and adjoints and the currents. The scalar form differs from that used previously by others. A physical explanation is given for the flux gradient term which leads to a pseudoabsorption effect.