UPPER-BOUND ESTIMATION OF BILINEAR FUNCTIONALS IN REACTOR THEORY.

Yigal Ronen; Ehud Greenspan

doi:10.13182/NSE77-A27067

UPPER-BOUND ESTIMATION OF BILINEAR FUNCTIONALS IN REACTOR THEORY.

Yigal Ronen, Ehud Greenspan

Unit of Nuclear Engineering

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Expressions for estimating upper bounds to certain integral parameters are derived using functional analysis techniques. The resulting formulations are applied for estimating upper bounds to different types of integral parameters in reactor theory, including direct eigenvalues of the Boltzmann equation, reactivity, and effective reactor kinetics parameters. The upper-bound estimation method is compared with perturbation theory techniques for estimating changes in the total collision eigenvalue.

Original language	English
Pages (from-to)	509-513
Number of pages	5
Journal	Nuclear Science and Engineering
Volume	63
Issue number	4
DOIs	https://doi.org/10.13182/NSE77-A27067
State	Published - 1 Jan 1977

ASJC Scopus subject areas

Nuclear Energy and Engineering

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title = "UPPER-BOUND ESTIMATION OF BILINEAR FUNCTIONALS IN REACTOR THEORY.",

abstract = "Expressions for estimating upper bounds to certain integral parameters are derived using functional analysis techniques. The resulting formulations are applied for estimating upper bounds to different types of integral parameters in reactor theory, including direct eigenvalues of the Boltzmann equation, reactivity, and effective reactor kinetics parameters. The upper-bound estimation method is compared with perturbation theory techniques for estimating changes in the total collision eigenvalue.",

author = "Yigal Ronen and Ehud Greenspan",

year = "1977",

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doi = "10.13182/NSE77-A27067",

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AU - Ronen, Yigal

AU - Greenspan, Ehud

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N2 - Expressions for estimating upper bounds to certain integral parameters are derived using functional analysis techniques. The resulting formulations are applied for estimating upper bounds to different types of integral parameters in reactor theory, including direct eigenvalues of the Boltzmann equation, reactivity, and effective reactor kinetics parameters. The upper-bound estimation method is compared with perturbation theory techniques for estimating changes in the total collision eigenvalue.

AB - Expressions for estimating upper bounds to certain integral parameters are derived using functional analysis techniques. The resulting formulations are applied for estimating upper bounds to different types of integral parameters in reactor theory, including direct eigenvalues of the Boltzmann equation, reactivity, and effective reactor kinetics parameters. The upper-bound estimation method is compared with perturbation theory techniques for estimating changes in the total collision eigenvalue.

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U2 - 10.13182/NSE77-A27067

DO - 10.13182/NSE77-A27067

M3 - Article

AN - SCOPUS:0017526527

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VL - 63

SP - 509

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JO - Nuclear Science and Engineering

JF - Nuclear Science and Engineering

IS - 4

ER -

UPPER-BOUND ESTIMATION OF BILINEAR FUNCTIONALS IN REACTOR THEORY.

Abstract

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