A generalized Taylor factorization for Hermite subdivision schemes

DOI10.1016/j.cam.2011.06.011zbMath1231.41036OpenAlexW2038886630MaRDI QIDQ651111

Jean-Louis Merrien, Thomas Sauer

Publication date: 8 December 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.06.011

zbMATH Keywords

subdivisionfactorizationTaylor expansionHermite

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Algorithms for approximation of functions (65D15) Polynomials, factorization in commutative rings (13P05)

Related Items (15)

Convergence of level-dependent Hermite subdivision schemes ⋮ Multivariate generalized Hermite subdivision schemes ⋮ Analysis and convergence of Hermite subdivision schemes ⋮ An algebraic approach to polynomial reproduction of Hermite subdivision schemes ⋮ Analysis of non-stationary Hermite subdivision schemes reproducing exponential polynomials ⋮ Dual Hermite subdivision schemes of de Rham-type ⋮ A note on spectral properties of Hermite subdivision operators ⋮ Generalized Taylor operators and polynomial chains for Hermite subdivision schemes ⋮ Extended Hermite subdivision schemes ⋮ Construction of Hermite subdivision schemes reproducing polynomials ⋮ Polynomial reproduction of Hermite subdivision schemes of any order ⋮ Unnamed Item ⋮ A rapid numerical algorithm to compute matrix inversion ⋮ A new family of non-stationary Hermite subdivision schemes reproducing exponential polynomials ⋮ Convergence analysis of Hermite subdivision schemes of any arity

Cites Work

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• From Hermite to stationary subdivision schemes in one and several variables
• Vector cascade algorithms and refinable function vectors in Sobolev spaces
• Hermite subdivision schemes and Taylor polynomials
• Noninterpolatory Hermite subdivision schemes

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