Highly oscillatory problems / edited by Bjorn Engquist, University of Texas, Austin ; Athanasios Fokas, University of Cambridge ; Ernst Hairer, Université de Genève ; Arieh Iserles, University of Cambridge.
Review papers from experts in areas of active research into highly oscillatory problems, with an emphasis on computation.
Bibliography
Includes bibliographical references.
Contents
Oscillations over long times in numerical Hamiltonian systems / E. Hairer & C. Lubich -- Highly oscillatory quadrature / D. Huybrechs & S. Olver -- Rapid function approximation by modified Fourier series / D. Huybrechs & S. Olver -- Approximation of high frequency wave propagation problems / M. Motamed & O. Runborg -- Wavelet-based numerical homogenization / B. Engquist & O. Runborg -- Plane wave methods for approximating the time harmonic wave equation / T. Luostari T. Huttunen & P. Monk -- Boundary integral methods in high frequency scattering / S.N. Chandler-Wilde & I.G. Graham -- Novel analytical and numerical methods for elliptic boundary value problems / A.S. Fokas & E.A. Spence.
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