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 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 NBS Technical Note written by and published by . This book was released on 1965-04 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Invariant Imbedding and Its Applications to Ordinary Differential Equations written by Melvin R. Scott and published by Addison Wesley Publishing Company. This book was released on 1973 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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
Download or read book Progress in Optics written by and published by Elsevier. This book was released on 1994-11-16 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains six review articles dealing with topics of current research interest in optics and in related fields. The first article deals with the so-called embedding method, which has found useful applications in the study of wave propagation in random media. The second article presents a review of an interesting class of non-linear optical phenomena which have their origin in the dependence of the complex dielectric constant of some media on the light intensity. These phenomena which include self-focusing, self-trapping and self-modulation have found many applications, for example in fibre optics devices, signal processing and computer technology. The next article is concerned with gap solitons which are electromagnetic field structures which can exist in nonlinear media that have periodic variation in their linear optical properties, with periodicities of the order of the wavelength of light. Both qualitative and quantitative descriptions of gap solitons are presented and some experimental schemes for their detection in the laboratory are discussed. The fourth article describes methods for the determination of optical phase from phase-modulated images. These methods have found applications in plasma diagnostics, in connection with flow characterisation and in the design of new optical instruments. The final article reviews developments relating to imaging, through turbulence in the atmosphere. It looks at the state-of-the-art of our understanding of this subject and discusses the most important methods that are presently employed to compensate for image distortion caused by atmospheric turbulence.
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 Invariant Imbedding and Radiative Transfer in Slabs of Finite Thickness written by Richard Bellman and published by . This book was released on 1963 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Light Scattering Reviews 4 written by Alexander A. Kokhanovsky and published by Springer Science & Business Media. This book was released on 2009-07-25 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fourth volume of Light Scattering Reviews is composed of three parts. The ?rstpartisconcernedwiththeoreticalandexperimentalstudiesofsinglelightsc- tering by small nonspherical particles. Light scattering by small particles such as, for instance, droplets in the terrestrial clouds is a well understood area of physical optics. On the other hand, exact theoretical calculations of light scattering p- terns for most of nonspherical and irregularly shaped particles can be performed only for the restricted values of the size parameter, which is proportional to the ratio of the characteristic size of the particle to the wavelength?. For the large nonspherical particles, approximations are used (e. g. , ray optics). The exact th- retical techniques such as the T-matrix method cannot be used for extremely large particles, such as those in ice clouds, because then the size parameter in the v- iblex=2?a/???,wherea is the characteristic size (radius for spheres), and the associated numerical codes become unstable and produce wrong answers. Yet another problem is due to the fact that particles in many turbid media (e. g. , dust clouds) cannot be characterized by a single shape. Often, refractive indices also vary. Because of problems with theoretical calculations, experimental (i. e. , la- ratory) investigations are important for the characterization and understanding of the optical properties of such types of particles. The ?rst paper in this volume, written by B. Gustafson, is aimed at the descr- tionofscaledanalogueexperimentsinelectromagneticscattering.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1970 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: NSA is a comprehensive collection of international nuclear science and technology literature for the period 1948 through 1976, pre-dating the prestigious INIS database, which began in 1970. NSA existed as a printed product (Volumes 1-33) initially, created by DOE's predecessor, the U.S. Atomic Energy Commission (AEC). NSA includes citations to scientific and technical reports from the AEC, the U.S. Energy Research and Development Administration and its contractors, plus other agencies and international organizations, universities, and industrial and research organizations. References to books, conference proceedings, papers, patents, dissertations, engineering drawings, and journal articles from worldwide sources are also included. Abstracts and full text are provided if available.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1975 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
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 Unidirectional Wave Motions written by H. Levine and published by Elsevier. This book was released on 2012-12-02 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unidirectional Wave Motions provides a comprehensive discussion of the formulations and their consequent elaborations which have found demonstrable value in wave analysis. The deliberate focus on unidirectional waves permits a relatively simple mathematical development, without leaving significant gaps in methodology and capability. The book is organized into three parts. The first part deals with the particulars of individual wave equations; the geometry or kinematics of wave forms; and general matters bearing on the transport of energy and momentum as well as dispersion or frequency sensitivity. The second part focuses on aspects of wave generation by localized and extended sources. The third part examines the effects of interaction between specified primary waves and medium irregularities (e.g., obstacles, inclusions, or local variations in the material parameters). Information about these irregularities or scatterers, ranging from microscopic to terrestrial scales, may be gleaned through the attendant phenomena of reflection, refraction, and diffraction, which are fundamental to wave theory.
Download or read book Perturbation Techniques in Mathematics Engineering and Physics written by Richard Ernest Bellman and published by Courier Corporation. This book was released on 2003-01-01 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introduces scientifically significant problems and indicates useful solutions. 1966 edition.
Download or read book Ocean Seismo Acoustics written by T. Akal and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seafloor investigation has long been a feature of not only seismology but also of acoustics. Indeed it was acoustics that produced depth sounders, giving us the first capability of producing both global and local maps of the seafloor. Subsequently, better instrumentation and techniques led to a clearer, more quantitative picture of the seabed itself, which stimulated new hypotheses such as seafloor spreading through the availability of more reliable data on sediment thickness over ocean basins and other bottom features. Geologists and geophysicists have used both acoustic and seismic methods to study the seabed by considering the propagation of signals arising from both natural seismic events and man-made impulsive sources. Although significant advances have been made in instrumentation, such as long towed geophysical arrays, ai r guns and ocean bot tom seismometers, the pic ture of the seafloor is still far from complete. Underwater acoustics concerns itself today with the phenomena of propagation and noise at frequencies and ranges that require an understanding of acoustic interaction at both of its boundaries, the sea surface and seafloor, over depths ranging from tens to thousands of meters. Much of the earlier higher frequency (>1 kHz) work included the characterization of the seafloor in regimes of reflection coefficients which were empirically derived from surveys. The results of these studies met with only limited success, confined as they were to those areas where survey data existed and lacking a physical understanding of the processes of reflection and scattering.
Download or read book U S Government Research Reports written by and published by . This book was released on 1964 with total page 1306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book IRE Transactions on Information Theory written by Institute of Radio Engineers. Professional Group on Information Theory and published by . This book was released on 1959 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
