### Traveling wave fronts in spatially discrete reaction-diffusion equations on higher-dimensional lattices.

Zou, Xingfu (1997)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Zou, Xingfu (1997)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Josselin Garnier (2010)

ESAIM: Probability and Statistics

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In this paper a multi-scaled diffusion-approximation theorem is proved so as to unify various applications in wave propagation in random media: transmission of optical modes through random planar waveguides; time delay in scattering for the linear wave equation; decay of the transmission coefficient for large lengths with fixed output and phase difference in weakly nonlinear random media.

Guillaume Bal, Lenya Ryzhik (2004)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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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 splitting algorithm that solves separately and successively propagation and scattering in...

Piero Villaggio (2001)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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A one-dimensional model is proposed for determing the delay by which a wave reaching a certain point is effectively registered by a measuring instrument.

Alkahby, H.Y., Jalbout, F.N. (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Gera, Dinesh, Gautam, Mridul, Gangarao, Hota V.S. (1997)

International Journal of Mathematics and Mathematical Sciences

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Z. Godziński, L. Stasierski (1972)

Applicationes Mathematicae

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Bhatti, Zahid Rafiq, Durrani, Ijaz-Ur-Rahman (2001)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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Guillaume Bal, Lenya Ryzhik (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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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 splitting algorithm that solves separately and successively propagation and scattering...