Preprints

• T. Wagner, F. Nestler and M. Stoll
  Fast Evaluation of Additive Kernels: Feature Arrangement, Fourier Methods, and Kernel Derivatives
  arXiv-Preprint 2404.17344, 2024.
  PDF (arXiv), BibTeX
• K. Akhalaya, F. Nestler und D. Potts
  Fast and interpretable Support Vector Classification based on the truncated ANOVA decomposition
  GAMM-Mitteilungen, accepted, 2024.
  PDF (arXiv), BibTeX

Papers in Journals

• F. Nestler, M. Stoll and T. Wagner
  Learning in High-Dimensional Feature Spaces Using ANOVA-Based Fast Matrix-Vector Multiplication
  Foundations of Data Science, 4(3), 423-440, 2022. DOI: 10.3934/fods.2022012
  PDF (arXiv), BibTeX

• R. Weeber, F. Nestler, F. Weik, M. Pippig, D. Potts and C. Holm
  Accelerating the calculation of dipolar interactions in particle based simulations with open boundary conditions by means of the P2NFFT method
  J. Comput. Phys., 391, 243-258, 2019. DOI: 10.1016/j.jcp.2019.01.044
  PDF (arXiv), URL, BibTeX

• M. Hofmann, F. Nestler and M. Pippig
  NFFT based Ewald summation for electrostatic systems with charges and dipoles
  Appl. Numer. Math., 122, 39-65, 2017. DOI: 10.1016/j.apnum.2017.07.008
  PDF, URL, BibTeX

• F. Nestler
  Parameter tuning for the NFFT based fast Ewald summation
  Front. Phys., 4(28), 2016. DOI: 10.3389/fphy.2016.00028
  PDF, URL, BibTeX

• F. Nestler
  An NFFT based approach to the efficient computation of dipole-dipole interactions under various periodic boundary conditions
  Appl. Numer. Math., 105, 25-46, 2016. DOI: 10.1016/j.apnum.2016.01.003
  PDF, URL, BibTeX

• F. Nestler
  Automated parameter tuning based on RMS errors for nonequispaced FFTs
  Adv. Comput. Math., 42(4), 889-919, 2016. DOI: 10.1007/s10444-015-9446-8
  PDF, URL, BibTeX

• F. Nestler, M. Pippig and D. Potts
  Fast Ewald summation based on NFFT with mixed periodicity
  J. Comput. Phys., 285, 280-315, 2015. DOI: 10.1016/j.jcp.2014.12.052
  PDF, URL, BibTeX

Proceedings

• F. Nestler
  Fast Ewald summation for electrostatic systems with charges and dipoles for various types of periodic boundary conditions
  Proceedings of the 12th International Conference on Sampling Theory and Applications, pages 465-469, 2017. DOI: 10.1109/SAMPTA.2017.8024343
  PDF, BibTeX

• F. Nestler, M. Pippig and D. Potts
  NFFT based fast Ewald summation for various types of periodic boundary conditions
  Computational Trends in Solvation and Transport in Liquids, G. Sutmann, J. Grotendorst, G. Gompper, D. Marx (Eds.), pages 575-598, 2015.
  PDF, BibTeX

• F. Nestler and D. Potts
  Fast Ewald summation under 2d- and 1d-periodic boundary conditions based on NFFTs
  Proceedings of the 10th International Conference on Sampling Theory and Applications, pages 568-571, 2013.
  PDF, BibTeX

PhD thesis

• F. Nestler
  Efficient Computation of Electrostatic Interactions in Particle Systems Based on Nonequispaced Fast Fourier Transforms
  Dissertation, Universitätsverlag Chemnitz, ISBN 978-3-96100-054-8, 2018. (open access full-text, Software)
  

Diploma thesis

• F. Nestler
  Approximationsverfahren zur schnellen Energieberechnung in Partikelsystemen
  Diploma thesis, Chemnitz University of Technology, 2012. (PDF)
  

E-Learning

• F. Nestler, D. Potts, Y. Winkelmann
  Elektronische Übungen und Prüfungsvorleistungen im Bereich der höheren Mathematik
  E-Prüfungs-Symposium, Universität Bremen, 2017. (URL)
  

• F. Nestler, Y. Winkelmann
  Elektronische Übungs- und Bewertungstools für Mathematikveranstaltungen
  E-Learning: Zukunft oder Realität, 12. Workshop on e-Learning, pages 75-82, 2014.