Wing, G. Milton (George Milton) 1923-

An introduction to invariant imbedding by Richard Bellman( Book )

30 editions published between 1970 and 1992 in English and held by 614 WorldCat member libraries worldwide

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

An introduction to transport theory by G. Milton Wing( Book )

16 editions published in 1962 in English and Undetermined and held by 437 WorldCat member libraries worldwide

A primer on integral equations of the first kind : the problem of deconvolution and unfolding by G. Milton Wing( Book )

18 editions published in 1991 in English and held by 280 WorldCat member libraries worldwide

Designed to offer applied mathematicians, physicists, chemists, engineers, geophysicists, and other scientists an elementary level explanation of integral equations of the first kind. It maintains a casual, conversational approach. The book emphasizes understanding, while deliberately avoiding special methods of highly limited application. Special features: all problems illustrate important topics covered in the text; the subject is explained using a fairly non-rigorous approach to introduce any mathematics not commonly understood by the intended audience; designed for self-study, but can also be used as a text

Transport theory, invariant imbedding, and integral equations : proceedings in honor of G.M. Wing's 65th birthday by P Nelson( Book )

8 editions published in 1989 in English and held by 188 WorldCat member libraries worldwide

Problems for a computer-oriented calculus course, with an appendix on elementary FORTRAN programming by Richard C Allen( Book )

9 editions published in 1973 in English and held by 168 WorldCat member libraries worldwide

The method of invariant imbedding with applications to transport theory and other areas of mathematical physics by G. Milton Wing( Book )

3 editions published in 1965 in English and held by 32 WorldCat member libraries worldwide

Transport theory and spectral problems by G. Milton Wing( )

2 editions published in 1959 in English and held by 26 WorldCat member libraries worldwide

A simple model of time-independent neutron transport on a line as a stochastic process, using the method of invariant imbedding, is considered. Non- linear equations for the expected values (flux) are also obtained and solved, the results are compared with the ordinary linear theory, and possible advantages of the new formulation are cited. Generalizations to a large class of transport problems are discussed. The nonlinear timedependent operator for transport in one dimension is considered in detail. It has a pure point spectrum, and expansion theorems can be proved. These results contrast with those for isotropic one-velocity neutron transport in the infinite slab. Here there are only a finite number of points in the point spectrum, with a halfplane in the continuous spectrum. Approximations to the eigenvalues and eigenfunctions for the slab case, as well as extensions to the multivelocity problem, are mentioned. There is a brief discussion of recent spectral and expansion theorems for very general geometries. (auth)

On Riccati and Riccati-like equations arising in one-dimensional diffusion problems by I. I Kolodner( )

2 editions published in 1962 in English and held by 20 WorldCat member libraries worldwide

On a method for obtaining bounds on the eigenvalues of certain integral equations by G. Milton Wing( )

2 editions published in 1965 in English and held by 14 WorldCat member libraries worldwide

A note on the numerical integration of a class of non-linear hyperbolic differential equations by Richard Bellman( Book )

2 editions published in 1957 in English and held by 6 WorldCat member libraries worldwide

The purpose of this paper was to introduce a new method for the numerical integration of a class of nonlinear hyperbolic partial differential equations which admit shocks. The equation u sub t = -uu sub x is discussed, and numerical results are given. (Author)