Highly oscillatory problems
By: edited by Bjorn Engquist ... [et al.].
Series: London Mathematical Society lecture note series -- 366; London Mathematical Society lecture note series -- 366.
Publisher: Cambridge University Press
Published: 2009
Place of publication: Cambridge; New York
Language: eng
Number of pages: 239
ISBN-13: 9780521134439
Subjects: Oscillations; Schwingung; Computersimulation
Description: The first book to approach high oscillation as a subject of its own, Highly Oscillatory Problems begins a new dialogue and lays the groundwork for future research. It ensues from the six-month programme held at the Newton Institute of Mathematical Sciences, which was the first time that different specialists in highly oscillatory research, from diverse areas of mathematics and applications, had been brought together for a single intellectual agenda. This ground-breaking volume consists of eight review papers by leading experts in subject areas of active research, with an emphasis on computation: numerical Hamiltonian problems, highly oscillatory quadrature, rapid approximation of functions, high frequency wave propagation, numerical homogenization, discretization of the wave equation, high frequency scattering and the solution of elliptic boundary value problems.
Notes: Includes bibliographical references.
Table of contents: title: Oscillations over long times in numerical Hamiltonian systems  -- E. Hairer & C. Lubich; title: Highly oscillatory quadrature  -- D. Huybrechs & S. Olver; title: Rapid function approximation by modified Fourier series  -- D. Huybrechs & S. Olver; title: Approximation of high frequency wave propagation problems  -- M. Motamed & O. Runborg; title: Wavelet based numerical homogenization  -- B. Engquist & O. Runborg; title: Plane wave methods for approximating the time harmonic wave equation  -- T. Luostari, T. Huttunen & P. Monk; title: Boundary integral methods in high frequency scattering  -- S.N. Chandler-Wilde & I.G. Graham; title: Novel analytical and numerical methods for elliptic boundary value problems -- A.S. Fokas & E.A. Spence.