Periodic Integral & Pseudodifferential Equations with Numerical Approximation by Jukka Saranen
English | PDF | 2002 | 461 Pages | ISBN : 3540418784 | 29 MB
Classical boundary integral equations arising from the potential theory and acoustics (Laplace and Helmholtz equations) are derived. Using the parametrization of the boundary these equations take a form of periodic pseudodifferential equations. A general theory of periodic pseudodifferential equations and methods of solving are developed, including trigonometric Galerkin and collocation methods, their fully discrete versions with fast solvers, quadrature and spline based methods.