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Author: Judith A. Pokrop
Publisher:
ISBN:
Category : Invariant imbedding
Languages : en
Pages : 38
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Book Description
Author: Judith A. Pokrop
Publisher:
ISBN:
Category : Invariant imbedding
Languages : en
Pages : 38
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Book Description
Author: R. Bellman
Publisher: SIAM
ISBN: 9781611971279
Category : Mathematics
Languages : en
Pages : 265
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Book Description
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.
Author: E. Stanley Lee
Publisher: Elsevier
ISBN: 1483266753
Category : Mathematics
Languages : en
Pages : 350
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Book Description
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.
Author: Eugene Stanley Lee
Publisher:
ISBN:
Category : Adaptive control systems
Languages : en
Pages : 329
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Book Description
Author: Kuo Ming Wang
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 348
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Book Description
Author: George Milton Wing
Publisher:
ISBN:
Category : Invariant imbedding
Languages : en
Pages : 112
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Book Description
Author: Melvin R. Scott
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 248
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Book Description
Author: Lee
Publisher: Academic Press
ISBN: 0080955495
Category : Computers
Languages : en
Pages : 351
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Book Description
Quasilinearization and invariant imbedding, with applications to chemical engineering and adaptive control
Author: Paul Nelson
Publisher:
ISBN:
Category :
Languages : en
Pages : 21
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Book Description
Invariant imbedding is a method for the computational solution of two-point boundary-value problems. One common source of such problems is in the application of the method of lines, or an expansion procedure, to a system of partial differential equations. Such partial differential equations might describe, for example, the dynamic mechanics of structures such as an aircraft fuselage or a missile silo. The research conducted under this grant has been directed toward two objectives. The first objective was to improve the effectiveness and efficiency of invariant imbedding by providing means for automatically controlling the associated computational effort. The second objective was to extend the range of applicability of invariant imbedding to include singular two-point boundary-value problems. Such singular problems arise, for example, by applying the method of lines to partial differential equations in spherical or cylindrical coordinate systems. In regard to the first of these objectives, a number of different methods, which are generically termed 'relative-error monitors', have been developed and are in the process of being subjected to computational experimentation. As regards the second objective, it has been shown how to apply the method of invariant imbedding to 'homogeneous' linear two-point boundary-value problems. The further extension to inhomogeneous problems is presently being pursued. (Author).
Author: J. N. Distefano
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 14
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Book Description
