نتایج جستجو برای: random wave

تعداد نتایج: 497113  

Journal: :International Mathematics Research Notices 2018

Journal: :The Quarterly Journal of Mechanics and Applied Mathematics 2002

2003
GUILLAUME BAL

Numerical simulation of high frequency waves in highly heterogeneous media is a challenging problem. Resolving the fine structure of the wave field typically requires extremely small time steps and spatial meshes. We show that capturing macroscopic quantities of the wave field, such as the wave energy density, is achievable with much coarser discretizations. We obtain such a result using a time...

2004
G Foltin S Gnutzmann U Smilansky

We study the distribution of shapes of nodal lines that appear in solutions of the Helmholtz wave equation. For this purpose, we define the density associated with a given shape of a nodal line, and consider its expectation value for Gaussian random fields. We compute the densities of some particular lines, and show that the densities obtained agree well with the predictions of a theory which a...

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2004
Juan Diego Urbina Klaus Richter

We develop a statistical description of chaotic wave functions in closed systems obeying arbitrary boundary conditions by combining a semiclassical expression for the spatial two-point correlation function with a treatment of eigenfunctions as Gaussian random fields. Thereby we generalize Berry's isotropic random wave model by incorporating confinement effects through classical paths reflected ...

ژورنال: مهندسی دریا 2014

In this paper, the modification of Endurance Wave Analysis (EWA) in assessment of offshore platforms based on the new-wave theory is introduced. EWA is a new method to estimate the response of offshore structures in different sea states by use of incremental records. This study is offered practical procedures to select time duration and intensifying trend of the records. In addition, a simplifi...

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