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Titlebook: Invariant Imbedding; Proceedings of the S R. E. Bellman,E. D. Denman Conference proceedings 1971 Springer-Verlag Berlin · Heidelberg 1971 S

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书目名称Invariant Imbedding
副标题Proceedings of the S
编辑R. E. Bellman,E. D. Denman
视频video
丛书名称Lecture Notes in Economics and Mathematical Systems
图书封面Titlebook: Invariant Imbedding; Proceedings of the S R. E. Bellman,E. D. Denman Conference proceedings 1971 Springer-Verlag Berlin · Heidelberg 1971 S
描述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
出版日期Conference proceedings 1971
关键词Stochastic Decision Processes; differential equation; dynamic programming; economics; optimal control
版次1
doihttps://doi.org/10.1007/978-3-642-46274-0
isbn_softcover978-3-540-05549-5
isbn_ebook978-3-642-46274-0Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin · Heidelberg 1971
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Wave Propagation through Longitudinally and Transversally Inhomogeneous Slabs-I,f Angel, Jain, and Kalaba [1], on the two-dimensional Laplace equation could easily be extended to the slightly more complicated two-dimensional reduced wave equation. However, this turns out to not be the case for our problem since the boundary conditions are of a different nature.
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0075-8442 ly 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 com
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Invariant Imbedding978-3-642-46274-0Series ISSN 0075-8442 Series E-ISSN 2196-9957
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Reduction of Matrix Integral Equations with Displacement Kernels on the Half-Line to Cauchy SystemsThe equivalence between a system of Fredholm integral equations on the half-line and a Cauchy system is demonstrated. This leads to new computational approaches to the solution of such Fredholm integral equations.
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