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Author : Teodor Roşescu
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (552 download)
Download or read book Invariant Imbedding in Neutron Transport Theory written by Teodor Roşescu and published by . This book was released on 1966 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard Bellman
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (72 download)
Download or read book Invariant Imbedding and Neutron Transport Theory written by Richard Bellman and published by . This book was released on 1958 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: In previous papers the theory of invariant imbedding has been applied to a variety of transport problems. Each problem has been treated individually and any change in the geometry of the medium or energy distribution of the neutrons has called for a new investigation. A general method is presented for dealing with many such cases. A single formula is developed which covers most of the problems considered in past work and leads to new results. A few specializations are indicated. (Author).
Author : Richard Bellman
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (227 download)
Download or read book Invariant Imbedding and Neutron Transport Theory. V: Diffusion as a Limiting Case written by Richard Bellman and published by . This book was released on 1959 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffusion theory classically has been regarded as an approximation to the more rigorous (but, of course, not completely rigorous) transport theory under the assumption of high velocity and small mean free path. Furthermore, passage to the limit in the 'telegrapher's equation, ' a linear partial differential equation of hyperbolic type, has been carried out. The limits are studied of the non-linear functional equations obtained from the transport processes with finite velocity as the velocity increases without bound. Corresponding results are obtained for heat or diffusion processes, where the physical picture is not as clear. The equations can be interpreted in such a way as to be derived by invariant imbedding techniques. In all cases, the equations are of the generalized Riccati type which are characteristic of these processes of mathematical physics.
Author : Richard Bellman
Publisher :
ISBN 13 :
Total Pages : 1 pages
Book Rating : 4.:/5 (227 download)
Download or read book On the Principle of Invariant Imbedding and Neutron Transport Theory; I: One-dimensional Case written by Richard Bellman and published by . This book was released on 1957 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consideration is given to a one-dimensional version of the reflection and transmission of neutrons, and the phenomenon of critical mass. Although the effects of fission, capture and forward and backward scattering are considered, collisions between neutrons are not taken into account. The basic model is stochastic, with standard transport theory derived on the basis of expected values. As the explicit form of the higher moments indicates, an expected value theory yields a quite inadequate view of the distribution of reflected and transmitted neutrons in the neighborhood of critical mass. Some numerical results describing these distributions obtained from the solution of forty simultaneous nonlinear differential equations are presented.
Author : John O. Mingle
Publisher : Elsevier Publishing Company
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Invariant Imbedding Theory of Nuclear Transport written by John O. Mingle and published by Elsevier Publishing Company. This book was released on 1973 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard Bellman
Publisher :
ISBN 13 :
Total Pages : 1 pages
Book Rating : 4.:/5 (227 download)
Download or read book Invariant Imbedding and Neutron Transport Theory. Iv. Generalized Transport Theory written by Richard Bellman and published by . This book was released on 1958 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the paper is to extend previous results and techniques so as to include an extensive category of transport processes involving deterministic and stochastic interactions and general geometries. Characteristic func tions and probabilities as well as expected values (fluxes) are determined. (Author).
Author : Richard Bellman
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (227 download)
Download or read book Invariant Imbedding and Neutron Transport Theory. Ii: Functional Equations written by Richard Bellman and published by . This book was released on 1958 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some one-dimensional fission processes are considered with particular regard to questions of critical length and energy dependence of the products of fission. Various interconnections between the functions used in the invariant imbedding approach and the classical approach are indicated. In particular it is shown how one may pass from the consideration of certain linear two-point boundary value problems to nonlinear (Riccation type) initial value problems. The former are useful for theoretical considerations, the latter for numerical computation. (Author).
Author : Paul Nelson
Publisher : CRC Press
ISBN 13 : 1000946541
Total Pages : 479 pages
Book Rating : 4.0/5 (9 download)
Download or read book Transport Theory written by Paul Nelson and published by CRC Press. This book was released on 2023-05-31 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes seminal papers on technical subjects—transport theory, invariant imbedding, and integral equations—presented as contributions to honour George Milt Wing in celebration of his 65th birth anniversary in 1988.
Author : Richard Bellman
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (227 download)
Download or read book Invariant Imbedding and Neutron Transport Theory. Iii. Neutron-neutron Collision Processes written by Richard Bellman and published by . This book was released on 1958 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effects on criticality of neutron-neutron collisions involving annihilation are investigated for one-dimensional, single and multi-group cases. The analytic treatment shows that regardless of the magnitude of the cross section for collision between moving neutrons, there is no critical length (mass). The analogy between this situation and that in hydrodynamics, where the addition of an arbitrarily small viscosity term eliminates the discontinuous shock phenomenon, is indicated. As in earlier papers, the underlying equations are derived using the principle of invariant imbedding. (Author).
Author : Richard Bellman
Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (712 download)
Download or read book Invariant Imbedding Theory of Neutron Transport written by Richard Bellman and published by . This book was released on 1962 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E. Stanley Lee
Publisher : Elsevier
ISBN 13 : 1483266753
Total Pages : 350 pages
Book Rating : 4.4/5 (832 download)
Download or read book Quasilinearization and Invariant Imbedding written by E. Stanley Lee and published by Elsevier. This book was released on 2016-06-04 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics in Science and Engineering, Volume 41: Quasilinearization and Invariant Imbedding presents a study on the use of two concepts for obtaining numerical solutions of boundary-value problems—quasilinearization and invariant imbedding. This book emphasizes that the invariant imbedding approach reformulates the original boundary-value problem into an initial value problem by introducing new variables or parameters, while the quasilinearization technique represents an iterative approach combined with linear approximations. This volume focuses on analytical aspects that are concerned with actual convergence rates and computational requirements, considering various efficient algorithms that are suited for various types of boundary-value problems. This publication is a good reference for chemical and control engineers and scientists interested in obtaining numerical solutions of boundary-value problems in their particular fields.
Author : Richard Bellman
Publisher : American Mathematical Soc.
ISBN 13 : 9780821813201
Total Pages : 340 pages
Book Rating : 4.8/5 (132 download)
Download or read book Transport Theory written by Richard Bellman and published by American Mathematical Soc.. This book was released on 1969 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The industrial and military applications of atomic energy have stimulated much mathematical research in neutron transport theory. The possibility of controlled thermonuclear processes has similarly focussed attention upon plasmas, sometimes called the "fourth state of matter". Independently, many classical aspects of kinetic theory and radiative transfer theory have been studied both because of their basic mathematical interest and of their physical applications to areas such as upper-atmosphere meteorology - introduction.
Author : Paul Nelson
Publisher : CRC Press
ISBN 13 : 9780824781583
Total Pages : 482 pages
Book Rating : 4.7/5 (815 download)
Download or read book Transport Theory written by Paul Nelson and published by CRC Press. This book was released on 1989-03-24 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes seminal papers on technical subjects--transport theory, invariant imbedding, and integral equations--presented as contributions to honour George Milt Wing in celebration of his 65th birth anniversary in 1988.
Author : Glenn R. Ingram
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.:/5 (297 download)
Download or read book Applications of Invariant Imbedding to Problems of Neutron Transport in a Slab written by Glenn R. Ingram and published by . This book was released on 1962 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Teh-Kuei Hu
Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.:/5 (261 download)
Download or read book Lie Series Solution of Invariant Imbedding Neutron Transport Equations written by Teh-Kuei Hu and published by . This book was released on 1973 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. Bellman
Publisher : SIAM
ISBN 13 : 9781611971279
Total Pages : 265 pages
Book Rating : 4.9/5 (712 download)
Download or read book An Introduction to Invariant Imbedding written by R. Bellman and published by SIAM. This book was released on 1992-01-01 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a book that provides the classical foundations of invariant imbedding, a concept that provided the first indication of the connection between transport theory and the Riccati Equation. The reprinting of this classic volume was prompted by a revival of interest in the subject area because of its uses for inverse problems. The major part of the book consists of applications of the invariant imbedding method to specific areas that are of interest to engineers, physicists, applied mathematicians, and numerical analysts. A large set of problems can be found at the end of each chapter. Numerous problems on apparently disparate matters such as Riccati equations, continued fractions, functional equations, and Laplace transforms are included. The exercises present the reader with "real-life" situations. The material is accessible to a general audience, however, the authors do not hesitate to state, and even to prove, a rigorous theorem when one is available. To keep the original flavor of the book, very few changes were made to the manuscript; typographical errors were corrected and slight changes in word order were made to reduce ambiguities.
Author : John Charles Zink
Publisher :
ISBN 13 :
Total Pages : 466 pages
Book Rating : 4.:/5 (117 download)
Download or read book Neutron Transport in Two-dimensional Slabs by Invariant Imbedding written by John Charles Zink and published by . This book was released on 1970 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:
