Research Group of Prof. Dr. Jürgen Dölz

Publications of this group

Preprints

  1. Beyond Lipschitz: data-driven robustness via discrete modulus of continuity. J. Dölz, M. Multerer, and M. Palma. 2026. BibTeX arXiv
  2. Data-intrinsic approximation in metric spaces. J. Dölz and M. Multerer. 2025. BibTeX arXiv
  3. Quantifying uncertainty in spectral clusterings: expectations for perturbed and incomplete data. J. Dölz and J. Weygandt. 2025. BibTeX arXiv

Journal Articles

  1. Data sparse multilevel covariance estimation in optimal complexity. J. Dölz. Advances in Computational Mathematics (accepted), 2026. BibTeX DOI arXiv
  2. Local sensitivity analysis for Bayesian inverse problems. J. Dölz and D. Ebert. SIAM/ASA Journal on Uncertainty Quantification, 14(2):341–368, April 2026. BibTeX DOI arXiv
  3. Fully discrete analysis of the Galerkin POD neural network approximation with application to 3D acoustic wave scattering. J. Dölz and F. Henríquez. SIAM Journal on Scientific Computing, 48(2):C271–C300, 2026. BibTeX DOI arXiv
  4. A multifidelity Monte Carlo approach for simulating the diffusion coefficient of water. I. Forward problem. T. Frömbgen, A. Kuhn, J. Dölz, and B. Kirchner. The Journal of Chemical Physics, 164(2):024504, January 2026. BibTeX DOI
  5. Uncertainty quantification for In Silico chemistry. T. Frömbgen, E. Surzhikova, J. Dölz, J. Proppe, B. Kirchner, and C. R. Jacob. Chemical Reviews, pages acs.chemrev.5c00931, 2026. BibTeX DOI
  6. p-multilevel Monte Carlo for acoustic scattering from large deviation rough random surfaces. J. Dölz, W. Huang, and M. Multerer. SIAM/ASA Journal on Uncertainty Quantification, 13(4):1950–1971, December 2025. BibTeX DOI arXiv
  7. A low-frequency-stable higher-order isogeometric discretization of the augmented electric field integral equation. M. Nolte, R. Torchio, S. Schöps, J. Dölz, F. Wolf, and A. E. Ruehli. IEEE Transactions on Antennas and Propagation, pages 1–1, 2025. BibTeX DOI arXiv
  8. Shape uncertainty quantification of Maxwell eigenvalues and -modes with application to TESLA cavities. J. Dölz, D. Ebert, S. Schöps, and A. Ziegler. Computer Methods in Applied Mechanics and Engineering, 428:117108, August 2024. BibTeX DOI
  9. Solving acoustic scattering problems by the isogeometric boundary element method. J. Dölz, H. Harbrecht, and M. Multerer. Engineering with Computers, 40(6):3651–3661, December 2024. BibTeX DOI
  10. Parametric Shape Holomorphy of Boundary Integral Operators with Applications. J. Dölz and F. Henríquez. SIAM Journal on Mathematical Analysis, 56(5):6731–6767, October 2024. BibTeX DOI arXiv
  11. On uncertainty quantification of eigenvalues and eigenspaces with higher multiplicity. J. Dölz and D. Ebert. SIAM Journal on Numerical Analysis, 62(1):422–451, February 2024. BibTeX DOI arXiv
  12. Quantum Cluster Equilibrium Theory for Multicomponent Liquids. T. Frömbdgen, K. Drysch, P. Zaby, J. Dölz, J. Ingenmey, and B. Kirchner". Journal of Chemical Theory and Computation, pages acs.jctc.3c00799, 2024. BibTeX DOI
  13. Uncertainty quantification of phase transition quantities from cluster weighting calculations. J. Blasius, P. Zaby, J. Dölz, and B. Kirchner. The Journal of Chemical Physics, 157(1):014505, 2022. BibTeX DOI
  14. Isogeometric multilevel quadrature for forward and inverse random acoustic scattering. J. Dölz, H. Harbrecht, C. Jerez-Hanckes, and M. Multerer. Computer Methods in Applied Mechanics and Engineering, 388:114242, 2022. BibTeX DOI arXiv
  15. On Robustly Convergent and Efficient Iterative Methods for Anisotropic Radiative Transfer. J. Dölz, O. Palii, and M. Schlottbom. Journal of Scientific Computing, 90(3):94, 2022. BibTeX DOI
  16. A model reduction approach for inverse problems with operator valued data. J. Dölz, H. Egger, and M. Schlottbom. Numerische Mathematik, 148(4):889–917, August 2021. BibTeX DOI arXiv
  17. A fast and oblivious matrix compression algorithm for Volterra integral operators. J. Dölz, H. Egger, and V. Shashkov. Advances in Computational Mathematics, 47(6):81, December 2021. BibTeX DOI arXiv
  18. Multipatch approximation of the de Rham sequence and its traces in isogeometric analysis. A. Buffa, J. Dölz, S. Kurz, S. Schöps, R. Vázquez, and F. Wolf. Numerische Mathematik, 144(1):201–236, January 2020. BibTeX DOI
  19. A Higher Order Perturbation Approach for Electromagnetic Scattering Problems on Random Domains. J. Dölz. SIAM/ASA Journal on Uncertainty Quantification, 8(2):748–774, January 2020. BibTeX DOI arXiv
  20. A convolution quadrature method for Maxwell's equations in dispersive media. J. Dölz, H. Egger, and V. Shashkov. Proceedings SCEE 2020, accepted, April 2020. BibTeX arXiv
  21. Bembel: The fast isogeometric boundary element C++ library for Laplace, Helmholtz, and electric wave equation. J. Dölz, H. Harbrecht, S. Kurz, M. Multerer, S. Schöps, and F. Wolf. SoftwareX, 11:100476, January 2020. BibTeX DOI
  22. A Numerical Comparison of an Isogeometric and a Parametric Higher Order Raviart–Thomas Approach to the Electric Field Integral Equation. J. Dölz, S. Kurz, S. Schöps, and F. Wolf. IEEE Transactions on Antennas and Propagation, 68(1):593–597, January 2020. BibTeX DOI
  23. On the Best Approximation of the Hierarchical Matrix Product. J. Dölz, H. Harbrecht, and M. Multerer. SIAM Journal on Matrix Analysis and Applications, 40(1):147–174, January 2019. BibTeX DOI
  24. Isogeometric Boundary Elements in Electromagnetism: Rigorous Analysis, Fast Methods, and Examples. J. Dölz, S. Kurz, S. Schöps, and F. Wolf. SIAM Journal on Scientific Computing, 41(5):B983–B1010, January 2019. BibTeX DOI
  25. Error-Controlled Model Approximation for Gaussian Process Morphable Models. J. Dölz and T. Gerig, M. Lüthi, and T. Harbrecht and T. Vetter. Journal of Mathematical Imaging and Vision, 61(4):443–457, May 2019. BibTeX DOI
  26. Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains. J. Dölz and H. Harbrecht. Journal of Computational Physics, 371:506–527, 2018. BibTeX
  27. A fast isogeometric BEM for the three dimensional Laplace- and Helmholtz problems. J. Dölz, H. Harbrecht, S. Kurz, S. Schöps, and F. Wolf. Computer Methods in Applied Mechanics and Engineering, 330(Supplement C):83–101, 2018. BibTeX
  28. An Overview of Isogeometric Boundary Element Methods for Acoustic and Electromagnetic Scattering Problems. J. Dölz, S. Kurz, S. Schöps, and F. Wolf. PAMM, 18(1):e201800100, 2018. BibTeX DOI
  29. H\mathcal {H}-Matrix Based Second Moment Analysis for Rough Random Fields and Finite Element Discretizations. J. Dölz, H. Harbrecht, and M. D. Peters. SIAM Journal on Scientific Computing, 39(4):B618–B639, January 2017. BibTeX DOI
  30. Covariance regularity and H\mathcal {H}-matrix approximation for rough random fields. J. Dölz, H. Harbrecht, and Ch. Schwab. Numerische Mathematik, 135(4):1045–1071, April 2017. BibTeX DOI
  31. An interpolation-based fast multipole method for higher-order boundary elements on parametric surfaces. J. Dölz, H. Harbrecht, and M. Peters. International Journal for Numerical Methods in Engineering, 108(13):1705–1728, 2016. BibTeX DOI
  32. H\mathcal {H}-matrix Accelerated Second Moment Analysis for Potentials with Rough Correlation. J. Dölz, H. Harbrecht, and M. Peters. Journal of Scientific Computing, 65(1):387–410, October 2015. BibTeX DOI

Miscellaneous

  1. Recent advances of isogeometric boundary element methods for electromagnetic scattering problems. J. Dölz, S. Kurz, S. Schöps, and F. Wolf. Oberwolfach Reports, 2020. BibTeX DOI