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The role played by the fT inetion-theoretic Wiener-H opf techniques in the solution of certain integral equations arising from the application of Green stheorem to boundary value problems le well known and has recently been extended. In the present work we discuss and illustrate the relevance and applicability of these techniques when the method of separation of variables in cuiT vilinear coordinates is employed. For the same boundary various appropriate or semi-appropriate coordinate systems may be employed, while on the other hand the Green sfunction integral equation is invariant. There is seen to be a correspondence between the two methods, which are expressions of the duality between Green sfunction and eigenfunction techniques. Various aspects of this correspondence, as well as the effect of change of coordinete systems ere illustrated. The resulting relationships shed some lit on the problem of recognizing the relevancy of Wiener-H opf or more classical techniques to certain integral equations and serves as a guide in the discovery of new problems to which the method (in either guise mentioned above) may be applied. Certain observations with regard to tiniqueness also result.
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Paperback. Etat : New. Print on Demand. This book explores the world of diffraction and Green's functions, examining integral equations that arise from the application of Green's theorem to boundary value problems. The author delves into the history of diffraction, tracing its mathematical study from the work of Rayleigh and Sommerfeld to the present day. The text bridges the gap between classical and modern methods, demonstrating how integral equations can be solved using both classical techniques and the more recent Wiener-Hopf method. The author provides a comprehensive analysis of the relationship between the Wiener-Hopf method and the classical method of separation of variables, elucidating the conditions under which each method is applicable. Throughout the book, the author emphasizes the underlying unity of these methods, showcasing their elegance and power in solving complex problems in diffraction theory. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781330156476_0
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781330156476
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Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781330156476
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Etat : New. KlappentextrnrnExcerpt from Separation of Variables and Wiener-Hopf TechniquesIt will be noted that a small positive imaginary part has been assigned to k. This corresponds to a slight degree of absorption in the.About the Publis. N° de réf. du vendeur 2147733900
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