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Titlebook: Wave Propagation; An Invariant Imbeddi Richard Bellman,Ramabhadra Vasudevan Book 1986 D. Reidel Publishing Company 1986 Approximation.Eigen

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发表于 2025-3-21 19:48:53 | 显示全部楼层 |阅读模式
书目名称Wave Propagation
副标题An Invariant Imbeddi
编辑Richard Bellman,Ramabhadra Vasudevan
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Wave Propagation; An Invariant Imbeddi Richard Bellman,Ramabhadra Vasudevan Book 1986 D. Reidel Publishing Company 1986 Approximation.Eigen
描述Approach your problems from the right end It isn‘t that they can‘t see the solution. It is and begin with the answers. Then one day, that they can‘t see the problem. perhaps you will find the final question. G. K. Chesterton. The SCQlldIII of Father ‘The Hermit Clad in Crane Feathers‘ in R. Brown ‘The point of a Pin‘. van Gu!ik‘s The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non­ trivially) in regional and theoretical economics; algebraic geometry interacts with . physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras
出版日期Book 1986
关键词Approximation; Eigenvalue; Potential; differential equation; electromagnetic wave; maximum; programming
版次1
doihttps://doi.org/10.1007/978-94-009-5227-0
isbn_softcover978-94-010-8811-4
isbn_ebook978-94-009-5227-0
copyrightD. Reidel Publishing Company 1986
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Introduction,e attempts to arrive at solutions under different approximations. The electromagnetic fields and the wave propagation associated with them have been studied in great detail. These are vector wave equations for the electric . and magnetic. vector fields [1]. The scalar Schrödinger wave equation of no
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Eikonal Equation and the WKB Approximation,mations [1], successive applications of the Liouville transformations [2], and the elegant matrix formalism developed in the monograph by Fröman and Fröman [3]. We will relate them with the successive approximations, arrived at by methods based on imbedding principles in later chapters.
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Eikonal Equation and the WKB Approximation,mations [1], successive applications of the Liouville transformations [2], and the elegant matrix formalism developed in the monograph by Fröman and Fröman [3]. We will relate them with the successive approximations, arrived at by methods based on imbedding principles in later chapters.
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Invariant Imbedding,nal medium. The nonlinear equations for the emergent fluxes are deduced by particle counting techniques as well as by analytical procedures. The importance of conservation laws, positivity of the fluxes, are discussed. A method of linearizing the equations by a method dictated by the physics of the
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The Bremmer Series,ex in each layer of the medium is approximated. In the models studied in the previous chapter the refractive index or k(x) has discontinuities at each interface. A model of the strata of the medium in which the refractive index is continuous but has discontinuities of their first derivatives at each
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