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DOE OSTI · 2532512

On the convergence of the fixed point method for solving neutron transport alpha eigenvalue problems

Chang, Britton
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Abstract

It was shown that the Fixed Point Method (also known as the Rayleigh Quotient Method) is several times faster than the Critical Search Method for solving neutron transport alpha eigenvalue problems. It was also shown that the Fixed Point Method is able to determine the alpha eigenvalues of sub-critical systems that are beyond the reach of the Critical Search Method. Despite these significant advances, the Fixed Point Method remains an unproven algorithm. Here, this report provides a proof.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSAlpha eigenvalueMilitary scienceNeutron transportNuclear science and engineeringNuclear science and engineering, Military science - Missile technologyPerron–FrobeniusPrimitive matrix

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Chang, Britton. 2024-10-02. On the convergence of the fixed point method for solving neutron transport alpha eigenvalue problems. https://doi.org/10.1016/j.anucene.2024.110620

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