On multiresolution methods in numerical analysis (Q1126843)

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scientific article; zbMATH DE number 1184386
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English
On multiresolution methods in numerical analysis
scientific article; zbMATH DE number 1184386

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    On multiresolution methods in numerical analysis (English)
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    5 August 1998
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    Several distinct features of multiresolution methods based on wavelets are presented. It is shown that the multiresolution LU decomposition resembles a direct multigrid method. Also, the exponential of these operators is sparse. Time evolution schemes for advection-diffusion equations, in particular the Navier-Stokes equations, are described. The significant improvement in stability for these schemes is pointed out.
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    multiresolution methods
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    fast multipole method
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    wavelets
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    time evolution schemes
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    direct multigrid method
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    advection-diffusion equations
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    Navier-Stokes equations
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    stability
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