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Author: R. Bellman
Publisher: SIAM
ISBN: 0898713048
Category : Mathematics
Languages : en
Pages : 263
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Book Description
A classic volume describing the foundations of invariant imbedding, re-issued due to a revival of interest in this area.
Author: R. Bellman
Publisher: SIAM
ISBN: 0898713048
Category : Mathematics
Languages : en
Pages : 263
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Book Description
A classic volume describing the foundations of invariant imbedding, re-issued due to a revival of interest in this area.
Author: Richard Bellman
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 280
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Book Description
Author: Bingqiang Sun
Publisher: Elsevier
ISBN: 0128180919
Category : Science
Languages : en
Pages : 272
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Book Description
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
Author: George Milton Wing
Publisher:
ISBN:
Category : Invariant imbedding
Languages : en
Pages : 112
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Book Description
Author: Jacques Henry
Publisher: Elsevier
ISBN: 0081010907
Category : Mathematics
Languages : en
Pages : 258
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Book Description
Factorization Method for Boundary Value Problems by Invariant Embedding presents a new theory for linear elliptic boundary value problems. The authors provide a transformation of the problem in two initial value problems that are uncoupled, enabling you to solve these successively. This method appears similar to the Gauss block factorization of the matrix, obtained in finite dimension after discretization of the problem. This proposed method is comparable to the computation of optimal feedbacks for linear quadratic control problems. Develops the invariant embedding technique for boundary value problems Makes a link between control theory, boundary value problems and the Gauss factorization Presents a new theory for successively solving linear elliptic boundary value problems Includes a transformation in two initial value problems that are uncoupled
Author: Melvin R. Scott
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 114
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Book Description
Author: R.E. Bellman
Publisher: Springer Science & Business Media
ISBN: 364246274X
Category : Business & Economics
Languages : en
Pages : 157
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Book Description
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.
Author:
Publisher: Academic Press
ISBN: 0080956092
Category : Mathematics
Languages : en
Pages : 237
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Book Description
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
Author: Melvin R. Scott
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 248
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Book Description
Author: Gunter Hubert Ferdinand Meyer
Publisher:
ISBN:
Category : Invariant imbedding
Languages : en
Pages : 202
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Book Description
