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The Sino-French International Associated Laboratory for Applied Mathematics (LIASFMA) is pleased to announce the School and Workshop on Harmonic Analysis and Wave Equations at Fudan University, Shangh...
We introduce “wave atoms” as a variant of 2D wavelet packets obeying the parabolic scaling wavelength ~ (diameter)2. We prove that warped oscillatory functions, a toy model for texture, have a signifi...
This paper presents a numerical compression strategy for the boundary integral equation of acoustic scattering in two dimensions. These equations have oscillatory kernels that we represent in a basis ...
We introduce a new multiscale Gaussian beam method for the numerical solution of the wave equation with smooth variable coefficients. The first computational question addressed in this paper is how to...
We consider the problem of constructing a wave extrapolation operator in a variable and possibly anisotropic medium. Our construction involves Fourier transforms in space combined with the help of a l...
The Gaussian beam method is an asymptotic method for wave equations with highly oscillatory data. In a recent published paper by two of the authors, a multiscale Gaussian beam method was first propose...
We introduce a novel finite-difference (FD) approach for seismic wave extrapolation in time.We derive the coefficients of the finite-difference operator from a lowrank approximation of the space-waven...
This paper introduces the synchrosqueezed wave packet transform as a method for analyzing twodimensional images. This transform is a combination of wave packet transforms of a certain geometric scalin...
We present a parallel preconditioning method for the iterative solution of the time-harmonicelastic wave equation which makes use of higher-order spectral elements to reduce pollution error. In partic...
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 sp...
This paper concerns the derivation of a Fokker-Planck equation for the correlation of two high frequency wave fields propagating in two different random media. The mismatch between therandom media nee...
We consider the long time limit theorems for the solutions of a discrete wave equation with a weak stochastic forcing. The multiplicative noise conserves the energy and the momentum. We obtain a time-...
This paper argues that curvelets provide a powerful tool for representing very general linear symmetric systems of hyperbolic differential equations. Curvelets are a recently developed multiscale syst...
Wave equations help describe waves of light, sound and water as they occur in physics. Also known as partial differential equations, or PDEs, they have valuable potential for predicting weather or ear...
We show that smooth, compactly supported radially symmetric Wave Maps U from R2+1 to a compact target mani-fold N scatter.

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