Retarded Potentials and Time Domain Boundary Integral Equations

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Focusing on the mathematics of time-domain boundary integral equations related to the wave equation, this book presents two analytical approaches: a classical method utilizing Laplace transforms and a modern perspective based on semigroup theory of evolution equations. It emphasizes systematic numerical discretization through Galerkin methods and Convolution Quadrature. Additionally, the text includes applications for acoustic and elastic wave scattering, with an appendix extending the discussion to electromagnetic waves, ensuring a comprehensive understanding of the subject.