Veröffentlichungen "Kempf, Rüdiger"

Artikel in einer Zeitschrift

Kempf, Rüdiger ; Wendland, Holger:
A Data Driven Approach to Multiscale Approximation with Anisotropically Scaled Radial Basis Functions.
In: Journal of Approximation Software. Bd. 3 (2026) Heft 1 . - S. 77-91.
ISSN 3103-1935
DOI: https://doi.org/10.13135/3103-1935/13351

Büttner, Markus ; Kempf, Rüdiger ; Wendland, Holger:
Numerical Aspects of the Tensor Product Multilevel Method for High-Dimensional, Kernel-Based Reconstruction on Sparse Grids.
In: Journal of Scientific Computing. Bd. 106 (2026) . - 8.
ISSN 1573-7691
DOI: https://doi.org/10.1007/s10915-025-03144-0

Büttner, Markus ; Kempf, Rüdiger ; Wendland, Holger:
Numerical aspects of the tensor product multilevel method for high-dimensional, kernel-based reconstruction on sparse grids.
In: Journal of Scientific Computing. Bd. 106 (2026) Heft 1 . - 8.
ISSN 1573-7691
DOI: https://doi.org/10.1007/s10915-025-03144-0

Harbrecht, Helmut ; Kempf, Rüdiger ; Multerer, Michael:
Construction of quasi-localized dual bases in reproducing kernel Hilbert spaces.
In: Journal of Computational and Applied Mathematics. Bd. 465 (2025) . - 116545.
ISSN 0377-0427
DOI: https://doi.org/10.1016/j.cam.2025.116545

Avesani, Sara ; Kempf, Rüdiger ; Multerer, Michael ; Wendland, Holger:
Multiscale Scattered Data Analysis in Samplet Coordinates.
In: SIAM Journal on Scientific Computing. Bd. 47 (2025) Heft 5 . - S. A3038 - A3063.
ISSN 1095-7197
DOI: https://doi.org/10.1137/24M1696305

Kempf, Rüdiger ; Wendland, Holger:
High-dimensional approximation with kernel-based multilevel methods on sparse grids.
In: Numerische Mathematik. Bd. 154 (2023) Heft 3 . - S. 485-519.
ISSN 0029-599X
DOI: https://doi.org/10.1007/s00211-023-01363-x

Aufsatz in einem Buch

Kempf, Rüdiger ; Wendland, Holger ; Rieger, Christian:
Kernel-based reconstructions for parametric PDEs.
In: Griebel, Michael ; Schweitzer, Marc Alexander (Hrsg.): Meshfree Methods for Partial Differential Equations IX. - Cham : Springer , 2019 . - S. 53-71
ISBN 978-3-030-15119-5
DOI: https://doi.org/10.1007/978-3-030-15119-5_4

Preprint, Postprint

Kempf, Rüdiger:
Kernel-based Operator Learning : Error Analysis, Budget Allocation, and a Physics-Informed Extension.
ArXiv , 2026
DOI: https://doi.org/10.48550/arXiv.2607.06287

Gollwitzer, Lorenz ; Kempf, Rüdiger ; Wendland, Holger:
Nodal Representations for Kernel-Based Multilevel Interpolation.
ArXiv , 2026
DOI: https://doi.org/10.48550/arXiv.2606.16643

Avesani, Sara ; Kempf, Rüdiger ; Multerer, Michael ; Wendland, Holger:
Samplet compression for conditionally positive definite kernels and universal Kriging.
ArXiv , 2026
DOI: https://doi.org/10.48550/arXiv.2608.24283

Dissertation

Kempf, Rüdiger:
The Tensor Product Multilevel Method for High-dimensional Meshfree Approximation.
Bayreuth , 2023 . - VIII, 205 S.
( Dissertation, 2023 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00007006

Master-, Magister-, Diplom- oder Zulassungsarbeit

Kempf, Rüdiger:
Kernel-based reconstructions for parametric partial differential equations.
Bayreuth , 2017
(Masterarbeit, 2017 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Angewandte und Numerische Analysis)