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Invariant Imbedding

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An Introduction To Invariant Imbedding

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Author : R. Bellman
language : en
Publisher: SIAM
Release Date : 1992-01-01

An Introduction To Invariant Imbedding written by R. Bellman and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Mathematics categories.

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.

Invariant Imbedding And Its Applications To Ordinary Differential Equations

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Author : Melvin R. Scott
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1973

Invariant Imbedding And Its Applications To Ordinary Differential Equations written by Melvin R. Scott and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.

The Invariant Imbedding Theory Of Nuclear Transport

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Author : John O. Mingle
language : en
Publisher: Elsevier Publishing Company
Release Date : 1973

The Invariant Imbedding Theory Of Nuclear Transport written by John O. Mingle and has been published by Elsevier Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Science categories.

Invariant Imbedding And Radiative Transfer In Slabs Of Finite Thickness

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Author : Richard Bellman
language : en
Publisher:
Release Date : 1963

Invariant Imbedding And Radiative Transfer In Slabs Of Finite Thickness written by Richard Bellman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Science categories.

Introduction To The Mathematical Theory Of Control Processes Linear Equations And Quadratic Criteria V 1

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Author : Bellman
language : en
Publisher: Academic Press
Release Date : 1967-01-01

Introduction To The Mathematical Theory Of Control Processes Linear Equations And Quadratic Criteria V 1 written by Bellman and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967-01-01 with Computers categories.

This work discusses the theory of control processes. The extremely rapid growth of the theory, associated intimately with the continuing trend toward automation, makes it imperative that the courses of this nature rest upon a broad basis. The work discusses the fundamentals of the calculus of variations, dynamic programming, discrete control processes, use of the digital computer, and functional analysis. Introductory courses in control theory are essential for training the modern graduate student in pure and applied mathematics, engineering, mathematical physics, economics, biology, operations research, and related fields. The work also describes the dual approaches of the calculus of variations and dynamic programming in the scalar case and illustrates ways to tackle the multidimensional optimization problems.

Initial Value Methods For Boundary Value Problems Theory And Application Of Invariant Imbedding

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Author :
language : en
Publisher: Academic Press
Release Date : 1973-08-15

Initial Value Methods For Boundary Value Problems Theory And Application Of Invariant Imbedding written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-08-15 with Mathematics categories.

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

Imbeddings

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Author : Rudolph W. Preisendorfer
language : en
Publisher:
Release Date : 1976

Imbeddings written by Rudolph W. Preisendorfer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Optical oceanography categories.

Terrestrial Radiative Transfer

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Author : Harriet H. Natsuyama
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Terrestrial Radiative Transfer written by Harriet H. Natsuyama and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

In this book we share our work with those who are faced with the challenging problem of studying the earth's atmosphere and the interactions between the atmosphere and the earth's surface. While there are some excellent books on this topic written from the physical point of view, those discussing the modeling and computational aspects are few and far between. Our book is intended to bridge this gap so that students as well as investigators will be able to understand and apply practical ways of determining solutions. Radiative transfer theory, on which this book is based, is elegant, and great minds have contributed to its richness. Instead of duplicating the clas sical references, we have taken a different approach: We have developed the in variant imbedding approach, both analytically and computationally, because of its attractiveness for producing numerical solutions. Having witnessed the transition to the computer age, we know that a new attitude to mathemati cal formulation is required. The one that we endorse is a model stated in the form of a Cauchy problem: a system of ordinary differential equations with a complete set of initial conditions. We chose this approach because it is well suited to implementation on digital computers.

Dynamic Programming And Partial Differential Equations

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Author : Angel
language : en
Publisher: Academic Press
Release Date : 1972-05-17

Dynamic Programming And Partial Differential Equations written by Angel and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-05-17 with Computers categories.

Dynamic Programming and Partial Differential Equations

Nonlinear Processes In Engineering

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Author :
language : en
Publisher: Academic Press
Release Date : 1974-09-20

Nonlinear Processes In Engineering written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-09-20 with Technology & Engineering categories.

Invariant Imbedding

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