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Veröffentlichungen (seit 2023)
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- On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions, SIAM Journal on Numerical Analysis, C. Rieger and H. Wendland, 2024.
- Oscillations and differences in Triebel-Lizorkin-Morrey spaces, Revista Matematica Complutense, M. Hovemann and M. Weimar, 2024.
- Extending error bounds for radial basis function interpolation to measuring the error in higher order Sobolev norms, Mathematics of Computation, T. Hangelbroek and C. Rieger, 2024. Article in press. Link zum Artikel (AMS members only), Link zum arXiv-Preprint.
- Highly Localized RBF Lagrange Functions for Finite Difference Methods on Spheres, BIT Numerical Mathematics, W. Erb, T. Hangelbroek, F. J. Narcowich, C. Rieger, J. D. Ward, 2024. Link zum Artikel, Link zum arXiv-Preprint.
- Quarklet characterizations for Triebel–Lizorkin spaces, Journal of Approximation Theory, M. Hovemann, S. Dahlke, 2023
- B-Spline Quarklets and Biorthogonal Multiwavelets, International Journal of Wavelets, Multiresolution and Information Processing, M. Hovemann, A. Kopsch, T. Raasch, D. Vogel, 2023 (ArXiv)
Preprints
- Spectral stability and perturbation results for kernel differentiation matrices on the sphere, T. Hangelbroek, C. Rieger, G. Wright, 2023
- Kernel Multi-Grid on Manifolds, T. Hangelbroek, C. Rieger, 2023
- Adaptive Quarklet Tree Approximation, S. Dahlke, M. Hovemann, T. Raasch, D. Vogel, 2023
- Quarklet Characterizations for Bivariate Bessel-Potential Spaces on the Unit Square via Tensor Products, M. Hovemann, 2024
- Oscillations and differences in Besov-Morrey and Besov-type spaces, M. Hovemann, M. Weimar, 2024