A Critique of the Variational Method in Scattering Problems (Classic Reprint) - Softcover

Jones, D. S.

 
9781334015588: A Critique of the Variational Method in Scattering Problems (Classic Reprint)

Synopsis

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.

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