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- W99709815 abstract "Let Ω ⊂ E2 be a bounded domain with Lipschitz continuous boundary Г. The n-group nuclear diffusion problem is to determine the largest (in modulus) eigenvalue k eff and the corresponding eigenvector (Φ1(x,y),..., Φn(x,y)), satisfying the following system of partial differential equations $$ begin{gathered} - frac{partial } {{partial x}} = left( {mathcal{D}_k (x,y)frac{{partial Phi _k (x,y)}} {{partial x}}} right) - frac{partial } {{partial y}}left( {mathcal{D}_k (x,y)frac{{partial Phi _k (x,y)}} {{partial y}}} right) hfill + sigma _k^a (x,y)Phi _k (x,y) - sumlimits_{l - 1}^{k - 1} {sigma _l^k (x,y)Phi _l (x,y)} hfill = frac{1} {{k_{eff} }}sumlimits_{l - 1}^n {sigma _{kl}^f (x,y)Phi _l (x,y), (x,y) in Omega ,} hfill end{gathered} $$(1)and the homogeneous boundary conditions $$ Phi _k (x,y) = 0, (x,y) in Gamma , $$(2)for k = 1,..., n. Properties of all the coefficients in (1) are described bellow in Section 1.2." @default.
- W99709815 created "2016-06-24" @default.
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- W99709815 date "2004-01-01" @default.
- W99709815 modified "2023-09-26" @default.
- W99709815 title "Application of the PCG Method in Solution of a Nuclear Reactor Criticality Problem" @default.
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- W99709815 doi "https://doi.org/10.1007/978-3-642-18560-1_21" @default.
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