The Projection Method for Multidimensional Framelet and Wavelet Analysis
نویسندگان
چکیده
منابع مشابه
The Projection Method for Multidimensional Framelet and Wavelet Analysis
The projection method is a simple way of constructing functions and filters by integrating multidimensional functions and filters along parallel superplanes in the space domain. Equivalently expressed in the frequency domain, the projection method constructs a new function by simply taking a cross-section of the Fourier transform of a multidimensional function. The projection method is linked t...
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15 صفحه اولThe Projection Method in the Development of Wavelet Bases
Most of the research work on wavelet analysis so far has been concentrated on wavelets on uniform meshes in Euclidean spaces. We are interested in wavelet bases for function spaces on bounded domains with possibly nonuniform or irregular meshes. For this purpose, we introduce the projection method for construction of wavelet bases. Let (Vn)n=0,1,2,... be a family of closed subspaces of a Hilber...
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We present a new wavelet numerical scheme for the discretization of Navier-Stokes equations with physical boundary conditions. The temporal discretization of the method is inspired from the projection method. Helmholtz-Hodge decomposition using divergence-free and curl-free wavelet bases satisfying physical boundary conditions allows to define the projection operator. This avoids the use of Poi...
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ژورنال
عنوان ژورنال: Mathematical Modelling of Natural Phenomena
سال: 2014
ISSN: 0973-5348,1760-6101
DOI: 10.1051/mmnp/20149506