Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard Analysis of structured deep kernel networks. (English) Zbl 1577.68188 J. Comput. Appl. Math. 476, Article ID 116975, 21 p. (2026). MSC: 68T07 41A30 46E22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard Stability of convergence rates: kernel interpolation on non-Lipschitz domains. (English) Zbl 08106208 IMA J. Numer. Anal. 45, No. 2, 777-798 (2025). MSC: 65J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wenzel, Tizian; Winkle, Daniel; Santin, Gabriele; Haasdonk, Bernard Adaptive meshfree approximation for linear elliptic partial differential equations with PDE-greedy kernel methods. (English) Zbl 07983611 BIT 65, No. 1, Paper No. 11, 36 p. (2025). MSC: 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Santin, Gabriele; Wenzel, Tizian; Haasdonk, Bernard On the optimality of target-data-dependent kernel greedy interpolation in Sobolev reproducing kernel Hilbert spaces. (English) Zbl 1550.65027 SIAM J. Numer. Anal. 62, No. 5, 2249-2275 (2024). MSC: 65D05 65D15 46N40 46E22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haasdonk, Bernard; Kleikamp, Hendrik; Ohlberger, Mario; Schindler, Felix; Wenzel, Tizian A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs. (English) Zbl 1516.65087 SIAM J. Sci. Comput. 45, No. 3, A1039-A1065 (2023). MSC: 65M60 65M06 65N30 68T07 68Q32 65C05 49M41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard Analysis of target data-dependent greedy kernel algorithms: convergence rates for \(f\)-, \(f \cdot P\)- and \(f/P\)-greedy. (English) Zbl 07678815 Constr. Approx. 57, No. 1, 45-74 (2023). MSC: 65D15 65D05 41A58 46E22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Santin, Gabriele; Karvonen, Toni; Haasdonk, Bernard Sampling based approximation of linear functionals in reproducing kernel Hilbert spaces. (English) Zbl 1485.65024 BIT 62, No. 1, 279-310 (2022). MSC: 65D32 65J99 65D05 65D15 41A05 41A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haasdonk, B.; Hamzi, B.; Santin, G.; Wittwar, D. Kernel methods for center manifold approximation and a weak data-based version of the center manifold theorem. (English) Zbl 1523.34046 Physica D 427, Article ID 133007, 14 p. (2021). MSC: 34C45 34C05 37M21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Santin, Gabriele; Haasdonk, Bernard Kernel methods for surrogate modeling. (English) Zbl 1567.65027 Benner, Peter (ed.) et al., Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 311-353 (2021). MSC: 65D05 65D15 46C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wittwar, Dominik; Haasdonk, Bernard Convergence rates for matrix P-greedy variants. (English) Zbl 1475.65004 Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 1195-1203 (2021). MSC: 65D05 × Cite Format Result Cite Review PDF Full Text: DOI
Haasdonk, Bernard; Wenzel, Tizian; Santin, Gabriele; Schmitt, Syn Biomechanical surrogate modelling using stabilized vectorial greedy kernel methods. (English) Zbl 1471.92049 Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 499-508 (2021). MSC: 92C10 92-10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard A novel class of stabilized greedy kernel approximation algorithms: convergence, stability and uniform point distribution. (English) Zbl 1458.65018 J. Approx. Theory 262, Article ID 105508, 31 p. (2021). MSC: 65D15 41A30 41A63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Köppel, Markus; Franzelin, Fabian; Kröker, Ilja; Oladyshkin, Sergey; Santin, Gabriele; Wittwar, Dominik; Barth, Andrea; Haasdonk, Bernard; Nowak, Wolfgang; Pflüger, Dirk; Rohde, Christian Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario. (English) Zbl 1414.76058 Comput. Geosci. 23, No. 2, 339-354 (2019). MSC: 76S05 60H35 62P30 76T10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haasdonk, Bernard; Santin, Gabriele Greedy kernel approximation for sparse surrogate modeling. (English) Zbl 1416.65059 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 21-45 (2018). MSC: 65D15 65D05 × Cite Format Result Cite Review PDF Full Text: DOI