Sinopsis
Variational methods for scattering: preserve reciprocity and bound error
Discover practical approaches to choosing approximations in scattering problems. This book shows how inserting a good field estimate into the variational expression can improve the scattered amplitude while keeping the reciprocity theorem intact. It explains that expanding the field in a basis and solving the resulting equations is equivalent to Galerkin’s method, and it guides you to pick function sets that yield real, reliable results. What you’ll learn
- How the variational principle links to Galerkin’s method and when they are interchangeable.
- Different strategies for constructing approximations that respect reciprocity.
- How to estimate accuracy and bound errors in practical calculations.
- Insights into low-frequency behavior and how to tailor trial functions for robust results.
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Reseña del editor
Excerpt from A Critique of the Variational Method in Scattering Problems
Another way of approximation is to choose for the field an expression which is physically plausible and/or mathematically simple and insert it immed iately in the variational expression. It will be shown that this is equivalent to choosing an approximation which satisfies the reciprocity theorem.
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A Critique of the Variational Method in Scattering Problems (Classic Reprint)
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Paperback. Condición: New. Print on Demand. This illuminating book explores a highly effective analytical method for solving integral equations that arise in a wide range of scientific disciplines, particularly in the study of scattering problems. The 'variational method' is an alternative to traditional techniques and provides a more versatile approach. The author demonstrates how this method is equivalent to another well-established approach, known as 'Galerkin's method', and elucidates how a special set of basis functions must be used to achieve accurate and reliable results. The book emphasizes the importance of the 'reciprocity theorem', a fundamental principle that should be considered when selecting approximations, and provides insights into how to bound errors in the estimates. Through clear explanations and examples, the author offers a comprehensive guide to effectively applying the variational method to scattering problems, making it an invaluable resource for researchers and practitioners in physics, engineering, and other fields that involve the analysis of wave phenomena. 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. Nº de ref. del artículo: 9781334015588_0
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A Critique of the Variational Method in Scattering Problems Classic Reprint
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781334015588
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A Critique of the Variational Method in Scattering Problems Classic Reprint
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781334015588
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A Critique of the Variational Method in Scattering Problems (Classic Reprint)
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Paperback. Condición: Brand New. 32 pages. 9.06x6.06x0.32 inches. This item is printed on demand. Nº de ref. del artículo: zk1334015589
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