Journal ArticleDOI
On the spectrum of an unsymmetric operator arising in the transport theory of neutrons
Joseph Lehner,G. Milton Wing +1 more
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This article is published in Communications on Pure and Applied Mathematics.The article was published on 1955-05-01. It has received 172 citations till now. The article focuses on the topics: Linear transport theory & Operator (physics).read more
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Diffusion approximation and computation of the critical size
TL;DR: In this article, the authors studied the spectral properties of the transport equation and how the diffusion approximation is related to the computation of the critical size, and they showed that when the transport operator is almost conservative, the critical value of the parameter 17 is large and it is exactly for this range of value that the diffusion approximation is accurate.
Book ChapterDOI
Multigrid Solutions to Elliptic Flow Problems
Achi Brandt,Nathan Dinar +1 more
TL;DR: Various concepts of ellipticity of finite-difference approximations to general elliptic partial differential systems are reviewed and introduced, and rules are given for the construction of stable schemes with high approximation orders, even for singular perturbation problems.
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Abstract time-dependent transport equations☆
Journal ArticleDOI
Invariant imbedding and mathematical physics--I: particle processes.
TL;DR: In this paper, the authors derive new analytic formulations of the classical particle processes, those of transport theory, radiative transfer, random walk, multiple scattering, and diffusion theory, in addition, new computational algorithms which seem well fitted to the capabilities of digital computers.
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Book
The theory of functions
TL;DR: Alfaro et al. as mentioned in this paper conservado en la Biblioteca del Campus de Mostoles de la Universidad Rey Juan Carlos (sign. 517.5 TIT THE).