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 An Introduction to Invariant Imbedding written by Richard Bellman and published by Wiley-Interscience. This book was released on 1975 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Introduction to Invariant Imbedding written by Richard Ernest Bellman and published by . This book was released on 1975 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

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 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 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 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.

Download or read book Invariant Imbedding T matrix Method for Light Scattering by Nonspherical and Inhomogeneous Particles written by Bingqiang Sun and published by Elsevier. This book was released on 2019-10-18 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Invariant Imbedding T-matrix Method for Light Scattering by Nonspherical and Inhomogeneous Particles propels atmospheric research forward as a resource and a tool for understanding the T-Matrix method in relation to light scattering. The text explores concepts ranging from electromagnetic waves and scattering dyads to the fundamentals of the T-Matrix method. Providing recently developed material, this text is sufficient to aid the light scattering science community with current and leading information. Enriched with detailed research from top field experts, Invariant Imbedding T-matrix Method for Light Scattering by Nonspherical and Inhomogeneous Particles offers a meaningful and essential presentation of methods and applications, with a focus on the light scattering of small and intermediate particles that supports and builds upon the latest studies. Thus, it is a valuable resource for atmospheric researchers and other earth and environmental scientists to expand their knowledge and understanding of available tools. - Systematically introduces innovative methods with powerful numerical capabilities - Thoroughly presents the rudimentary principles of light scattering and the T-matrix method - Offers a condensed and well-ordered arrangement of text, figures and formulas that are serviceable for both students and researchers

Download or read book Nonlinear Processes in Engineering written by and published by Academic Press. This book was released on 1974-09-20 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Download or read book Technical Books and Monographs written by United States. Energy Research and Development Administration and published by . This book was released on 1976 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Technical Books and Monographs Sponsored by the U S Atomic Energy Commission written by U.S. Atomic Energy Commission and published by . This book was released on 1976 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Technical Books Monographs written by United States. Energy Research and Development Administration and published by . This book was released on 1974 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Technical Books Monographs Sponsored by the U S Atomic Energy Commission written by U.S. Atomic Energy Commission and published by . This book was released on with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Codes for Boundary Value Problems in Ordinary Differential Equations written by B. Childs and published by Springer Science & Business Media. This book was released on 1979-10 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conceptually, a database consists of objects and relationships. Object Relationship Notation (ORN) is a simple notation that more precisely defines relationships by combining UML multiplicities with uniquely defined referential actions. Object Relationship Notation (ORN) for Database Applications: Enhancing the Modeling and Implementation of Associations shows how ORN can be used in UML class diagrams & database definition languages (DDLs) to better model & implement relationships & thus more productively develop database applications. For the database developer, it presents many examples of relationships modeled using ORN-extended class diagrams & shows how these relationships are easily mapped to an ORN-extended SQL or Object DDL. For the DBMS developer, it presents the specifications & algorithms needed to implement ORN in a relational and object DBMS. This book also describes tools that can be downloaded or accessed via the Web. These tools allow databases to be modeled using ORN and implemented using automatic code generation that adds ORN support to Microsoft SQL Server and Progress Object Store.

Download or read book Handbook of Differential Equations written by Daniel Zwillinger and published by Academic Press. This book was released on 2014-05-12 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Differential Equations is a handy reference to many popular techniques for solving and approximating differential equations, including exact analytical methods, approximate analytical methods, and numerical methods. Topics covered range from transformations and constant coefficient linear equations to finite and infinite intervals, along with conformal mappings and the perturbation method. Comprised of 180 chapters, this book begins with an introduction to transformations as well as general ideas about differential equations and how they are solved, together with the techniques needed to determine if a partial differential equation is well-posed or what the "natural" boundary conditions are. Subsequent sections focus on exact and approximate analytical solution techniques for differential equations, along with numerical methods for ordinary and partial differential equations. This monograph is intended for students taking courses in differential equations at either the undergraduate or graduate level, and should also be useful for practicing engineers or scientists who solve differential equations on an occasional basis.

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: