Sparse Wavelet Representation of Differential Operators with Piecewise Polynomial Coefficients
نویسندگان
چکیده
منابع مشابه
Sparse Wavelet Representation of Differential Operators with Piecewise Polynomial Coefficients
We propose a construction of a Hermite cubic spline-wavelet basis on the interval and hypercube. The basis is adapted to homogeneous Dirichlet boundary conditions. The wavelets are orthogonal to piecewise polynomials of degree at most seven on a uniform grid. Therefore, the wavelets have eight vanishing moments, and the matrices arising from discretization of differential equations with coeffic...
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ژورنال
عنوان ژورنال: Axioms
سال: 2017
ISSN: 2075-1680
DOI: 10.3390/axioms6010004