Course Contents
Weierstrass approximation theorem, multivariate interpolation with polynomials, Bramble-Hilbert lemma, distance spline-control polygon, Schoenberg-Whitney theorem, natural and canonical spline interpolant, quasi interpolation, Jackson type theorems, uniform stability, orthogonality relations, smoothing splines, geometric approximation, finite element method
Literature
de Boor, A Practical Guide to Splines, Springer
Schumaker, Spline functions basic theory, Cambridge University Press
Höllig, Finite element methods with B-splines, SIAM
Preconditions
recommended: Applied Geometry
Weierstrass approximation theorem, multivariate interpolation with polynomials, Bramble-Hilbert lemma, distance spline-control polygon, Schoenberg-Whitney theorem, natural and canonical spline interpolant, quasi interpolation, Jackson type theorems, uniform stability, orthogonality relations, smoothing splines, geometric approximation, finite element method
Literature
de Boor, A Practical Guide to Splines, Springer
Schumaker, Spline functions basic theory, Cambridge University Press
Höllig, Finite element methods with B-splines, SIAM
Preconditions
recommended: Applied Geometry
- Lehrende: Ulrich Reif
Semester: Inverno 2022/23