Mathematical Methods for Wave Phenomena

Bleistein, Norman

ISBN 10: 0121056503 / ISBN 13: 9780121056506

Verlag: Elsevier Science & Technology, 1984

Ships from the UK. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Bestandsnummer des Verkäufers 10211471-6

Inhaltsangabe:

Computer Science and Applied Mathematics: Mathematical Methods for Wave Phenomena focuses on the methods of applied mathematics, including equations, wave fronts, boundary value problems, and scattering problems. The publication initially ponders on first-order partial differential equations, Dirac delta function, Fourier transforms, asymptotics, and second-order partial differential equations. Discussions focus on prototype second-order equations, asymptotic expansions, asymptotic expansions of Fourier integrals with monotonic phase, method of stationary phase, propagation of wave fronts, and variable index of refraction. The text then examines wave equation in one space dimension, as well as initial boundary value problems, characteristics for the wave equation in one space dimension, and asymptotic solution of the Klein-Gordon equation. The manuscript offers information on wave equation in two and three dimensions and Helmholtz equation and other elliptic equations. Topics include energy integral, domain of dependence, and uniqueness, scattering problems, Green's functions, and problems in unbounded domains and the Sommerfeld radiation condition. The asymptotic techniques for direct scattering problems and the inverse methods for reflector imaging are also elaborated. The text is a dependable reference for computer science experts and mathematicians pursuing studies on the mathematical methods of wave phenomena.

Críticas: "...an excellent graduate-level text."
--MATHEMATICAL REVIEWS

Bibliografische Details

Titel: Mathematical Methods for Wave Phenomena
Verlag: Elsevier Science & Technology
Erscheinungsdatum: 1984
Einband: Hardcover
Zustand: Good