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The weight functions can he chosen t_rbitrarily, are typically nomials are weighted by themselves: increasing order are used successively used: Galerken weighting, and moments weighting, as weight functions. where the poly- where polynomials of Previous applications of polynomial nodal methods have shown that moments weighting is superior {F-l!. We begin the weighted residual procedure by multiplying Eq. 24a) by a weight function tv_,(u) and integrate over the node. "( u ) ¢. L. _l,.. _,... t,..

B) converges greater Ae¢ordinK to the Perron. _nd the properties t,_[the R to show that the power method to the htrgett eigenvaiue outlined and its ¢orrelponding pomitive elg _nvector iN. l I, The tteieetiott of the weightinK vector is arbitrary, but does affect tile t'()nvergence, . ('¢ One COlllmOn _h )1 e is to _et tile eletllelttS of w to uttity sut'h that the inner prodttets in Fq,(t,3t)) perform _ tdttlt)le still|at&tiers of t lte elettlent! Anottter t, hoit'e the weiKhtitllt ..... c, t)r i_ for w to I,e a ve,,tor ,,f {,,_'} for products peril)rill _|)pro_ch t:)fdet ernlinini _ttlltlnt&tjOlltt ....

Where inaddition tothetermsdefinedforthestatic equations inChapter2, ca = density of delayed neutron precursors in family d (cm-3), _:pg = prompt fission spectrum for group g, _d_ = fission spectrum for precursor family d, group 9, J\d = decay constant for delayed neutron 3a = fractional yield of delayed neutrons in family d, precursor fanfily d (s -1 ), D d = total fractional yield of delayed neutrons,/3 = _ Aa, d=l vg = neutron G = total number of energy groups, D = total number of delayed precursor families.

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A quasi-static polynomial nodal method for nuclear reactor analysis by Jess C Gehin

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