Compressive wave computation by Demanet, Laurent, Peyre, Gabriel

“…An error bound is formulated for the one-dimensional wave equation with coefficients of small bounded variation. Under suitable assumptions, it is shown that the number of eigenfunctions needed to evolve a sparse wavefield defined on N points, accurately with very high probability, is bounded by C()logNloglogN where C(η) is related to the desired accuracy η and can be made to grow at a much slower rate than N when the solution is sparse. …”
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