Download or read book A Generalized Invariant Imbedding for Wave Propagation written by Isam Salim Ayoubi and published by . This book was released on 1983 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Wave Propagation written by N.D. Bellman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The SCQlldIII of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu!ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with . physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They· draw upon widely different sections of mathematics.

Download or read book Invariant Imbedding and Wave Propagation in Inhomogeneous Media written by Crawford J. MacCallum and published by . This book was released on 1961 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Invariant Imbedding and Wave Propagation in Inhomgeneous Media written by Crawford J. MacCallum and published by . This book was released on 1961 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Invariant Imbedding Wave Propagation and the Wkb Approximation written by Richard Bellman and published by . This book was released on 1957 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: In previous papers, some applications of the principle of invariant imbedding to radiative transfer and neutron diffusion processes were presented. This use of invariance principles was stimulated by the fundamental work of Ambarzumian and Chandrasekhar, and strongly influenced by the point of regeneration technique of Bellman and Harris, and the theory of dynamic programming. Fundamental for the success of these techniques as applied to the above processes is the ability to consider the overall physical process as a sequence of local processes. For the case of particles, this is easily done. This paper indicates how wave propagation may be considered in these terms. It is rather remarkable that the results are based upon an algorithm that, in general, can yield divergent series. Following a provocative paper by Bremmer, the air is to show that wave propagation can be discussed in terms of reflection and refraction at infinitesimally separated interfaces. It was proven that the convergence of the Bremmer series can be established under a simple assumption concerning the slowly varying nature of the local wave number.

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.

Download or read book Invariant Imbedding Techniques Used to Solve Wave Propagation in a Horizontally Stratified Plasma Media written by Hugh Alfred Davies and published by . This book was released on 1969 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Invariant Imbedding written by R.E. Bellman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Imbedding is a powerful and versatile tool for problem solving. Rather than treat a question in isolation, we view it as a member of a family of related problems. Each member then becomes a stepping stone in a path to a simultaneous solution of the entire set of problems. As might be expected, there are many ways of accomplishing this imbedding. Time and space variables have been widely employed in the past, while modern approaches combine these structural features with others less immediate. Why should one search for alternate imbeddings when elegant classical formalisms already exist? There are many reasons. To begin with, different imbeddings are useful for different purposes. Some are well suited to the derivation of existence and uniqueness theorems, some to the derivation of conservation relations, some to perturbation techniques and sensitivity analysis, some to computa tional studies. The digital computer is designed for initial value problems; the analog computer for boundary-value problems. It is essential then to be flexible and possess the ability to use one device or the other, or both. In economics, engineering, biology and physics, some pro cesses lend themselves more easily to one type of imbedding rather than another. Thus, for example, stochastic decision processes are well adapted to dynamic programming. In any case, to go hunting in the wilds of the scientific world armed with only one arrow in one's quiver is quite foolhardy.

Download or read book The Application of Invariant Imbedding Techniques to Wave Propagation Through Turbulent Media written by and published by . This book was released on 1991 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Invariant Imbedding and Inverse Problems written by James P. Corones and published by SIAM. This book was released on 1992-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume on invariant imbedding and inverse problems is based on a conference held in Alberquerque, New Mexico, in April 1990.

Download or read book The Journal of the Korean Physical Society written by and published by . This book was released on 2008 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Download or read book Journal of Research National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1964 with total page 1400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Journal of Research written by United States. National Bureau of Standards and published by . This book was released on 1964 with total page 1354 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Hydrologic Optics written by Rudolph W. Preisendorfer and published by . This book was released on 1976 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Hydrologic Optics Imbeddings written by Rudolph W. Preisendorfer and published by . This book was released on 1976 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Wave Propagation and Inversion written by William Edward Fitzgibbon and published by SIAM. This book was released on 1992-01-01 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of three volumes on topics that arose from a September 1989 conference in Houston on mathematical and computational issues in geophysical fluid and solid mechanics. The nine papers include discussions of waves in partially saturated porous media, wave propagation by step marching, and optimal fi