Weak and strong convergence of projection methods in nonreflexive Banach spaces
Onedimensional homogenized reactor with natural uranium and with flattened specific output
Criticality conditions for a finite homogenized natural-uranium fueled reactor with prescribed thermal neutron flux
A sufficient condition for flattening of the thermal neutron flux and some related problems (in onedimensional geometries)
The main results of this paper, in which the problem of determination of the fuel concentration distribution inducing a prescribed thermal neutron flux in the homogenized critical reactor core with given outer reflector boundary is investigated (in the two-groups diffusion approximation), are stated in the theorems 1 and 2. In theorem 1 sufficient conditions are given for the existence of a oneparametrical family of thermal neutron fluxes induced by the Goertzel’s type fuel concentration distribution....
Numerische Stabilität eines Algorithmus zur Berechnung des Eigenparameters eines Matrizenoperators mit Hilfe der Reduktionsmethode und der Banachschen Iteration
Über eine Näherungsmethode zur Lösung gewisser Randwertaufgaben der Reaktortheorie
Stability of flat thermal flux in a slab reactor
Using the qualitative theory of differential equations the equivalence of the boundary value and the Cauchy's initial value problem is demonstrated for the slab flat flux reactor. It is found that there exists an interval of the initial (central) fuel concentrations for which the initial value problem (with two algebraic conditions) describes a critical flat flux reactor while solutions outside this interval describe undercritical systems of a nonmultiplying medium.
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