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Some Analytical and Numerical Methods in the Theory of Wave Propagation and Diffraction

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Wave Propagation and Diffraction

Part of the book series: Foundations of Engineering Mechanics ((FOUNDATIONS))

Abstract

This introductory chapter presents some of the methods that are useful for solving the problems of wave diffraction theory: method of separation of variables, method of power series, method of spline functions, and method of an auxiliary boundary. We also consider some algorithms for the numerical inversion of the Laplace transform, which is often used to solve the wave diffraction problems. Finally, we give a brief account of the method of multiple scales that is often used to study the propagation of transient waves.

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Authors and Affiliations

  1. Institute of Hydromechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    Igor T. Selezov

  2. Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    Yuriy G. Kryvonos

  3. Institute of Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    Ivan S. Gandzha

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  1. Igor T. Selezov
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  2. Yuriy G. Kryvonos
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  3. Ivan S. Gandzha
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Correspondence to Igor T. Selezov .

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Selezov, I.T., Kryvonos, Y.G., Gandzha, I.S. (2018). Some Analytical and Numerical Methods in the Theory of Wave Propagation and Diffraction. In: Wave Propagation and Diffraction. Foundations of Engineering Mechanics. Springer, Singapore. https://doi.org/10.1007/978-981-10-4923-1_1

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