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Invariant Imbedding And Neutron Transport Theory V Diffusion As A Limiting Case
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Book Synopsis Invariant Imbedding and Neutron Transport Theory. V: Diffusion as a Limiting Case by : Richard Bellman
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.
Book Synopsis Quasilinearization and Invariant Imbedding by : E. Stanley Lee
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.
Book Synopsis Application of Invariant Embedding to Reactor Physics by : Akinao Shimizu
Download or read book Application of Invariant Embedding to Reactor Physics written by Akinao Shimizu and published by Academic Press. This book was released on 2013-09-03 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Application of Invariant Embedding to Reactor Physics describes the application of the method of invariant embedding to radiation shielding and to criticality calculations of atomic reactors. The authors intend to show how this method has been applied to realistic problems, together with the results of applications which will be useful to shielding design. The book is organized into two parts. Part A deals with the reflection and transmission of gamma rays by slabs. The chapters in this section cover topics such as the reflection and transmission problem of gamma rays; formulation of the problem based on the invariant embedding principle; solutions of equations for simplified models; and solving the equations for the reflection and transmission functions based on the realistic cross section for gamma rays. Part B discusses applications to criticality calculations, covering one-dimensional and two-dimensional problems.
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.
Book Synopsis On the Principle of Invariant Imbedding and Neutron Transport Theory; I: One-dimensional Case by : Richard Bellman
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.
Book Synopsis An Introduction to Invariant Imbedding by : R. Bellman
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 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic volume describing the foundations of invariant imbedding, re-issued due to a revival of interest in this area.
Book Synopsis Transport Theory by : Richard Bellman
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.
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Invariant Imbedding in Neutron Transport Theory by : Teodor Roşescu
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:
Book Synopsis The Bellman Continuum by : Robert S Roth
Download or read book The Bellman Continuum written by Robert S Roth and published by World Scientific. This book was released on 1987-02-01 with total page 895 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of some of the most significant mathematical works of Prof Richard E Bellman. Ten areas of Prof Bellman's mathematical research were selected by his co-workers for this volume. Each chapter starts with an introductory comment on the significance of Bellman's contribution. Some important mathematical theories are put forward and their applications in physics and biology such as the mathematical aspect of chemotherapy and the analysis of biological systems are included in this book.
Book Synopsis Methods of Nonlinear Analysis by : Bellman
Download or read book Methods of Nonlinear Analysis written by Bellman and published by Academic Press. This book was released on 1973-05-25 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of Nonlinear Analysis
Book Synopsis U. S. Government Research and Development Reports by :
Download or read book U. S. Government Research and Development Reports written by and published by . This book was released on 1965 with total page 1776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Invariant Imbedding and Neutron Transport Theory by : Richard Bellman
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).
Book Synopsis The Invariant Imbedding Theory of Nuclear Transport by : John O. Mingle
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:
Book Synopsis An Introduction to Transport Theory by : George Milton Wing
Download or read book An Introduction to Transport Theory written by George Milton Wing and published by . This book was released on 1962 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bibliography of Scientific and Industrial Reports by :
Download or read book Bibliography of Scientific and Industrial Reports written by and published by . This book was released on 1965-07 with total page 1698 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Government-wide Index to Federal Research & Development Reports by :
Download or read book Government-wide Index to Federal Research & Development Reports written by and published by . This book was released on 1965-07 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:
