Invariant Imbedding and Radiative Transfer in Slabs of Finite Thickness
Author : Richard Bellman
Publisher :
Page : 368 pages
File Size : 38,97 MB
Release : 1963
Category : Invariant imbedding
ISBN :
Invariant Imbedding and Radiative Transfer in Slabs of Finite Thickness
Author : Richard Bellman
Publisher :
Page : 346 pages
File Size : 13,99 MB
Release : 1963
Category : Invariant imbedding
ISBN : 9780444000002
Book Description
An Introduction to Invariant Imbedding
Author : R. Bellman
Publisher : SIAM
Page : 263 pages
File Size : 30,20 MB
Release : 1992-01-01
Category : Mathematics
ISBN : 0898713048
Book Description
A classic volume describing the foundations of invariant imbedding, re-issued due to a revival of interest in this area.
Invariant Imbedding and Radiative Transfer in Slabs of Finite Thickness
Author : Marcia C. Prestrud
Publisher :
Page : 346 pages
File Size : 38,99 MB
Release : 1973
Category :
ISBN :
Book Description
An Invariant Imbedding, Orders-of-scattering Approach to Particle Transport in a Slab
Author : John C. Garth
Publisher :
Page : 168 pages
File Size : 18,77 MB
Release : 1976
Category : Collisions (Nuclear physics)
ISBN :
Book Description
A novel, simplified approach to particle transport in slabs is given. The number of particles transmitted and reflected by a slab of finite thickness is obtained as a function of the number of collisions the particles receive. This 'orders-of-scattering' solution is facilitated by an invariant imbedding approach which leads to a set of integral recursion relations between transmitted and reflected particle currents. Solutions are given for both one-dimensional and three-dimensional transport in slabs for an arbitrary anisotropic scattering law.
Quasilinearization and Invariant Imbedding
Author : E. Stanley Lee
Publisher : Elsevier
Page : 350 pages
File Size : 44,69 MB
Release : 2016-06-04
Category : Mathematics
ISBN : 1483266753
Book Description
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.
Application of Invariant Embedding to Reactor Physics
Author : Akinao Shimizu
Publisher : Academic Press
Page : 195 pages
File Size : 17,5 MB
Release : 2013-09-03
Category : Technology & Engineering
ISBN : 1483268349
Book Description
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.
Introduction to the Mathematical Theory of Control Processes: Linear Equations and Quadratic Criteria v. 1
Author : Bellman
Publisher : Academic Press
Page : 266 pages
File Size : 37,29 MB
Release : 1967-01-01
Category : Computers
ISBN : 0080955479
Book Description
This work discusses the theory of control processes. The extremely rapid growth of the theory, associated intimately with the continuing trend toward automation, makes it imperative that the courses of this nature rest upon a broad basis. The work discusses the fundamentals of the calculus of variations, dynamic programming, discrete control processes, use of the digital computer, and functional analysis. Introductory courses in control theory are essential for training the modern graduate student in pure and applied mathematics, engineering, mathematical physics, economics, biology, operations research, and related fields. The work also describes the dual approaches of the calculus of variations and dynamic programming in the scalar case and illustrates ways to tackle the multidimensional optimization problems.
Hydrologic Optics: Surfaces
Author : Rudolph W. Preisendorfer
Publisher :
Page : 414 pages
File Size : 30,17 MB
Release : 1976
Category : Underwater light
ISBN :
Book Description
Hydrologic Optics
Author : Rudolph W. Preisendorfer
Publisher :
Page : 408 pages
File Size : 10,85 MB
Release : 1976
Category : Optical oceanography
ISBN :
