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Bounds on projections onto bivariate polynomial spline spaces with stable local bases

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Publication:1601820
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DOI10.1007/s00365-001-0018-4zbMath0996.41008OpenAlexW2006894251MaRDI QIDQ1601820

Manfred von Golitschek, Larry L. Schumaker

Publication date: 27 June 2002

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-001-0018-4

zbMATH Keywords

spline approximationbivariate splinesnorms of projections


Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)


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Scattered noisy Hermite data fitting using an extension of the weighted least squares method, The convergence of three \(L_{1}\) spline methods for scattered data interpolation and fitting, A weighted least squares method for scattered data fitting, Computing bivariate splines in scattered data fitting and the finite-element method, Energy minimization method for scattered data Hermite interpolation, Model reduction of parabolic PDEs using multivariate splines, Convergence of discrete and penalized least squares spherical splines, Norms of projectors onto spaces with Riesz bases, Error estimates in \(W^{2,\infty}\)-semi-norms for discrete interpolating \(D^2\)-splines, Two-stage approximation methods with extended B-splines



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