Continuous refinement equations and subdivision

DOI10.1007/BF02070819zbMath0824.65144MaRDI QIDQ1895882

Charles A. Micchelli, Wolfgang Dahmen

Publication date: 13 August 1995

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

zbMATH Keywords

wavelet constructionentire functions of exponential typesubdivision algorithmsrefinement equationscube splineup-function

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (14)

Existence of weak solutions and trajectory attractors for the moist atmospheric equations in geophysics ⋮ Bell-shaped nonstationary refinable ripplets ⋮ Continuous two-scale equations and dyadic wavelets ⋮ Time-periodic solutions of the primitive equations of large-scale moist atmosphere: existence and stability ⋮ Well-posedness for the stochastic 2D primitive equations with Lévy noise ⋮ Uzawa conjugate gradient domain decomposition methods for coupled Stokes flows ⋮ Partitioned time discretization for parallel solution of coupled ODE systems ⋮ Spectral properties of continuous refinement operators ⋮ Probability distribution functions of the Grincevičjus series ⋮ The spectral radius of matrix continuous refinement operators ⋮ Compactly supported distributional solutions of nonstationary nonhomogeneous refinement equations ⋮ On a Refinement Type Equation ⋮ On the spectral radius of convolution dilation operators ⋮ A linear, stabilized, non-spatial iterative, partitioned time stepping method for the nonlinear Navier-Stokes/Navier-Stokes interaction model

Cites Work

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• Translates of multivariate splines
• Compactly supported solutions of functional-differential equations and their applications
• Controlled Approximation and a Characterization of the Local Approximation Order
• Biorthogonal bases of compactly supported wavelets
• Extension of Stokes series for flow in a circular boundary

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