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Showing 1 to 5 of 5 for “"Wiener–Hopf method"”.

  1. Multigroup transport equations with nondiagonal cross section matrices

    Willis, Barton L.Virginia Polytechnic Institute and State University1985

    … matrix, the problem is solved completely via the Wiener-Hopf method. For more general problems, generalized Chandrasekhar H equations are derived. A numerical method for their solution is proposed. Also, the exit distribution is written in terms of the H functions.

    vt Repository record

  2. Analytic Solutions for Flows Through Cascades

    Baddoo, Peter JonathanUniversity of Cambridge2020

    … equations, Riemann--Hilbert problems, the Wiener--Hopf method and conformal mappings via the transcendental Schottky--Klein prime function. These methods are applied in the context of rigorous asymptotic expansions where the solution is expanded in terms of a small parameter such as the …

    cambridge Repository record

  3. Nonlinear Acoustics in a General Waveguide

    McTavish, James PeterUniversity of Cambridge2019

    … chapter is focused on the exposition of the method used for the remainder of the paper, with the introduction of a new ``nonlinear admittance term'' as well as the associated algebra for it. An elegant notation for the nonlinear algebra is also developed, greatly simplifying the equations. …

    cambridge Repository record

  4. On the Factorisation of Matrix Wiener–Hopf Kernels Arising From Acoustic Scattering Problems

    Aitken, MungoUniversity of Cambridge2024

    … that these problems may be formulated as matrix Wiener–Hopf problems with the special property that their matrix kernels $\mathsf K$ may be formulated as $\mathsf K = \mathsf M^{-1} \mathsf J \mathsf M$, where $\mathsf J^2 = \mathsf I$, the identity matrix. This special property makes the …

    cambridge Repository record

  5. Acoustic diffraction from a semi-infinite elastic plate under arbitrary fluid loading with application to scattering from Arctic ice leads

    Dahl, Peter H.Massachusetts Institute of Technology and Woods Hole Oceanographic Institution1989

    … solved using an analytic approach based on the Wiener-Hopf method. By low-frequency it is meant that the elastic properties of the plate are adequately described by the thin plate equation (kH ≲ 1). The diffraction problem relates to issues in long range sound propagation through partially …

    woods-hole Repository record