@article{UBHD-69317690,
  author={Alber, Christian and Ma, Chupeng and Scheichl, Robert},
  title={A mixed multiscale spectral generalized finite element method},
  year={2025},
  pages={1-40},
  language={eng},
  issn={0945-3245},
  volume={157},
  number={1},
  note={Gesehen am 12.03.2025 ; Online ver{\"o}ffentlicht: 13. Januar 2025},
  journal={Numerische Mathematik},
  doi={10.1007/s00211-024-01446-3},
}
@article{UBHD-68687481,
  author={Bachmayr, Markus and Graham, Ivan G. and Nguyen, Van Kien and Scheichl, Robert},
  title={Unified analysis of periodization-based sampling methods for matérn covariances},
  year={2020},
  pages={2953-2980},
  language={eng},
  issn={1095-7170},
  volume={58},
  number={5},
  note={Gesehen am 02.02.2021},
  journal={SIAM journal on numerical analysis},
  doi={10.1137/19M1269877},
}
@incollection{UBHD-68966908,
  author={Bastian, Peter and Scheichl, Robert and Seelinger, Linus and Strehlow, Arne},
  title={Multilevel spectral domain decomposition},
  edition={Version 2},
  year={2021},
  pages={1-25},
  language={eng},
  note={Identifizierung der Ressource nach: 15 Jun 2021 ; Gesehen am 23.09.2022},
  booktitle={De.arxiv.org},
  doi={10.48550/arXiv.2106.06404},
}
@article{UBHD-69144276,
  author={Bastian, Peter and Scheichl, Robert and Seelinger, Linus and Strehlow, Arne},
  title={Multilevel spectral domain decomposition},
  year={2023},
  pages={S1-S26},
  language={eng},
  issn={1095-7197},
  volume={45},
  number={3 vom: Juni},
  note={Online ver{\"o}ffentlicht: 31. January 2022 ; Gesehen am 20.11.2023},
  journal={SIAM journal on scientific computing},
  doi={10.1137/21M1427231},
}
@article{UBHD-68559663,
  author={Butler, Richard and Scheichl, Robert and Seelinger, Linus},
  title={High-performance dune modules for solving large-scale, strongly anisotropic elliptic problems with applications to aerospace composites},
  year={2020},
  pages={15 S.},
  language={eng},
  issn={1879-2944},
  volume={249(2020) Artikel-Nummer 106997},
  number={15 Seiten},
  note={Available online 25 October 2019 ; Gesehen am 31.03.2020},
  journal={Computer physics communications},
  doi={10.1016/j.cpc.2019.106997},
}
@article{UBHD-69124537,
  author={Chupeng, Ma and Alber, Christian and Scheichl, Robert},
  title={Wavenumber explicit convergence of a multiscale generalized finite element method for heterogeneous Helmholtz problems},
  year={2023},
  pages={1546-1584},
  language={eng},
  issn={1095-7170},
  volume={61},
  number={3 vom: Juni},
  note={Online ver{\"o}ffentlicht: 15. Juni 2023 ; Gesehen am 26.09.2023},
  journal={SIAM journal on numerical analysis},
  doi={10.1137/21M1466748},
}
@article{UBHD-69287965,
  author={Cui, Tiangang and Dolgov, Sergey and Scheichl, Robert},
  title={Deep importance sampling using tensor trains with application to a priori and a posteriori rare events},
  year={2024},
  pages={C1-C29},
  language={eng},
  issn={1095-7197},
  volume={46},
  number={1 vom: Feb.},
  note={Gesehen am 08.01.2025},
  journal={SIAM journal on scientific computing},
  doi={10.1137/23M1546981},
}
@article{UBHD-69276297,
  author={Cui, Tiangang and De Sterck, H. and Gilbert, Alexander and Polishchuk, Stanislav and Scheichl, Robert},
  title={Multilevel Monte Carlo methods for stochastic convection-diffusion eigenvalue problems},
  year={2024},
  pages={77-1-77-34},
  language={eng},
  issn={1573-7691},
  volume={99},
  note={Gesehen am 25.11.2024},
  journal={Journal of scientific computing},
  doi={10.1007/s10915-024-02539-9},
}
@article{UBHD-69223727,
  author={Cui, Tiangang and Detommaso, Gianluca and Scheichl, Robert},
  title={Multilevel dimension-independent likelihood-informed MCMC for large-scale inverse problems},
  year={2024},
  pages={1-33},
  language={eng},
  issn={1361-6420},
  volume={40},
  note={Gesehen am 17.06.2024},
  journal={Inverse problems},
  doi={10.1088/1361-6420/ad1e2c},
}
@article{UBHD-68400593,
  author={Detommaso, Gianluca and Dodwell, Tim and Scheichl, Robert},
  title={Continuous level Monte Carlo and sample-adaptive model hierarchies},
  year={2019},
  pages={93-116},
  language={eng},
  issn={2166-2525},
  volume={7},
  number={1},
  note={Gesehen am 24.06.2019},
  journal={SIAM ASA journal on uncertainty quantification},
  doi={10.1137/18M1172259},
}
@article{UBHD-68822923,
  author={Dodwell, Tim and Fleming, L. R. and Buchanan, C. and Kyvelou, P. and Detommaso, G. and Gosling, P. D. and Scheichl, Robert and Kendall, W. S. and Gardner, L. and Girolami, M. A. and Oates, C. J.},
  title={A data-centric approach to generative modelling for 3D-printed steel},
  year={2021},
  pages={1-22},
  language={eng},
  issn={1471-2946},
  volume={477},
  note={Gesehen am 14.12.2021},
  journal={Proceedings},
  doi={10.1098/rspa.2021.0444},
}
@article{UBHD-68633658,
  author={Dodwell, Tim and Ketelsen, C. and Scheichl, Robert and Teckentrup, A. L.},
  title={Erratum: A hierarchical multilevel Markov chain Monte Carlo algorithm with applications to uncertainty quantification in subsurface flow},
  year={2019},
  pages={1398-1399},
  language={eng},
  issn={2166-2525},
  volume={7},
  number={4},
  note={Gesehen am 01.09.2020},
  journal={SIAM ASA journal on uncertainty quantification},
  doi={10.1137/19M1278089},
}
@article{UBHD-68633659,
  author={Dodwell, Tim and Ketelsen, C. and Scheichl, Robert and Teckentrup, A. L.},
  title={A hierarchical multilevel Markov chain Monte Carlo algorithm with applications to uncertainty quantification in subsurface flow},
  year={2015},
  pages={1075-1108},
  language={eng},
  issn={2166-2525},
  volume={3},
  number={1},
  note={Gesehen am 01.09.2020},
  journal={SIAM ASA journal on uncertainty quantification},
  doi={10.1137/130915005},
}
@article{UBHD-68735154,
  author={Dodwell, Tim and Kynaston, S. and Butler, R. and Haftka, R. T. and Kim, Nam H. and Scheichl, Robert},
  title={Multilevel Monte Carlo simulations of composite structures with uncertain manufacturing defects},
  year={2021},
  pages={1-12},
  language={eng},
  issn={0266-8920},
  volume={63(2021) vom: Jan.},
  number={Artikel-ID 103116},
  note={Available online 17 December 2020 ; Gesehen am 29.06.2021},
  journal={Probabilistic engineering mechanics},
  doi={10.1016/j.probengmech.2020.103116},
}
@article{UBHD-68485056,
  author={Dodwell, Tim and Ketelsen, C. and Scheichl, Robert and Teckentrup, Aretha L.},
  title={Multilevel Markov Chain Monte Carlo},
  year={2019},
  pages={509-545},
  language={eng},
  issn={1095-7200},
  volume={61},
  number={3},
  note={Published electronically August 7, 2019 ; Gesehen am 05.02.2020},
  journal={SIAM review},
  doi={10.1137/19M126966X},
}
@article{UBHD-68400597,
  author={Dolgov, Sergey and Scheichl, Robert},
  title={A hybrid alternating least squares - TT-cross algorithm for parametric PDEs},
  year={2019},
  pages={260-291},
  language={eng},
  issn={2166-2525},
  volume={7},
  number={1},
  note={Gesehen am 24.06.2019},
  journal={SIAM ASA journal on uncertainty quantification},
  doi={10.1137/17M1138881},
}
@article{UBHD-69319604,
  author={Elfverson, Daniel and Scheichl, Robert and Weissmann, Simon and Diaz de la O, Alejandro},
  title={Adaptive Multilevel Subset Simulation with Selective Refinement},
  year={2024},
  pages={932-963},
  language={eng},
  issn={2166-2525},
  volume={12},
  number={3},
  note={Gef{\"o}rdert durch: Deutsche Forschungsgemeinschaft (DFG): EXC 2181/1 - 390900948 ; Gesehen am 18.03.2025},
  journal={SIAM ASA journal on uncertainty quantification},
  doi={10.1137/22M1515240},
}
@article{UBHD-68410768,
  author={Gilbert, Alexander and Graham, I. G. and Kuo, F. Y. and Scheichl, Robert and Sloan, I. H.},
  title={Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients},
  year={2019},
  pages={863-915},
  language={eng},
  issn={0945-3245},
  volume={142},
  number={4},
  note={Gesehen am 22.07.2019},
  journal={Numerische Mathematik},
  doi={10.1007/s00211-019-01046-6},
}
@article{UBHD-68342412,
  author={Graham, Ivan and Scheichl, Robert},
  title={Analysis of circulant embedding methods for sampling stationary random fields},
  year={2018},
  pages={1871-1895},
  language={eng},
  issn={1095-7170},
  volume={56},
  number={3},
  note={Gesehen am 19.12.2018},
  journal={SIAM journal on numerical analysis},
  doi={10.1137/17M1149730},
}
@article{UBHD-68342415,
  author={Graham, Ivan and Scheichl, Robert},
  title={Circulant embedding with QMC},
  subtitle={analysis for elliptic PDE with lognormal coefficients},
  year={2018},
  pages={479-511},
  language={eng},
  issn={0945-3245},
  volume={140},
  number={2},
  note={Gesehen am 19.12.2018},
  journal={Numerische Mathematik},
  doi={10.1007/s00211-018-0968-0},
}
@article{UBHD-68864910,
  author={Graham, Ivan and Parkinson, Matthew and Scheichl, Robert},
  title={Error analysis and uncertainty quantification for the heterogeneous transport equation in slab geometry},
  year={2021},
  pages={2331-2361},
  language={eng},
  issn={1464-3642},
  volume={41},
  number={4},
  note={Advance access publication on 8 August 2020},
  journal={IMA journal of numerical analysis},
  doi={10.1093/imanum/draa028},
}
@incollection{UBHD-68342416,
  author={Graham, Ivan and Parkinson, Matthew and Scheichl, Robert},
  title={Modern monte carlo variants for uncertainty quantification in neutron transport},
  year={2018},
  pages={455-481},
  language={eng},
  isbn={978-3-319-72456-0},
  note={Gesehen am 19.12.2018},
  booktitle={Contemporary computational mathematics},
  editor={Dick, Josef and Kuo, Frances Y. and Woźniakowski, Henryk},
  doi={10.1007/978-3-319-72456-0_22},
}
@article{UBHD-68696662,
  author={Jansen, Karl and M{\"u}ller, Eike Hermann and Scheichl, Robert},
  title={Multilevel Monte Carlo algorithm for quantum mechanics on a lattice},
  year={2020},
  pages={23 S.},
  language={eng},
  issn={2470-0029},
  volume={102(2020},
  note={Gesehen am 08.02.2021},
  journal={Physical review},
  doi={10.1103/PhysRevD.102.114512},
}
@book{UBHD-68868720,
  author={Jansen, Karl and M{\"u}ller, Eike Hermann and Scheichl, Robert},
  title={Multilevel Monte Carlo algorithm for quantum mechanics on a lattice},
  publisher={Deutsches Elektronen-Synchrotron DESY},
  address={Zeuthen},
  year={2020},
  pages={1 Online-Ressource (25 Seiten)},
  language={eng},
  number={ARRAY(0x55f6ff723a38)},
  series={DESY},
}
@article{UBHD-68342409,
  author={Katsiolides, Grigoris and Scheichl, Robert},
  title={Multilevel Monte Carlo and improved timestepping methods in atmospheric dispersion modelling},
  year={2018},
  pages={320-343},
  language={eng},
  issn={1090-2716},
  volume={354},
  note={Available online 10 November 2017 ; Gesehen am 19.12.2018},
  journal={Journal of computational physics},
  doi={10.1016/j.jcp.2017.10.035},
}
@incollection{UBHD-68974231,
  author={Kazarnikov, Alexey and Scheichl, Robert and Haario, Heikki and Marciniak-Czochra, Anna},
  title={A Bayesian approach to modelling biological pattern formation with limited data},
  edition={Version v2},
  year={2022},
  pages={1-28},
  language={eng},
  note={Version 1 vom 28 M{\"a}rz 2022, Version 2 vom 31 M{\"a}rz 2022 ; Gesehen am 14.10.2022},
  booktitle={De.arxiv.org},
  doi={10.48550/arXiv.2203.14742},
}
@article{UBHD-68475343,
  author={Kobayashi, Hideki and Rohrbach, Paul B. and Scheichl, Robert and Wilding, Nigel B. and Jack, Robert L.},
  title={Correction of coarse-graining errors by a two-level method},
  subtitle={application to the Asakura-Oosawa model},
  year={2019},
  pages={16 S.},
  language={eng},
  issn={1089-7690},
  volume={151(2019},
  note={Gesehen am 14.01.2020},
  journal={The journal of chemical physics},
  doi={10.1063/1.5120833},
}
@article{UBHD-68876850,
  author={Kobayashi, Hideki and Rohrbach, Paul B. and Scheichl, Robert and Wilding, Nigel B. and Jack, Robert L.},
  title={Critical point for demixing of binary hard spheres},
  year={2021},
  pages={1-12},
  language={eng},
  issn={2470-0053},
  volume={104},
  note={Gesehen am 10.02.2022},
  journal={Physical review},
  doi={10.1103/PhysRevE.104.044603},
}
@article{UBHD-69320844,
  author={Koval, Karina and Herzog, Roland and Scheichl, Robert},
  title={Tractable optimal experimental design using transport maps},
  year={2024},
  pages={?},
  language={eng},
  issn={1361-6420},
  volume={40},
  note={Gesehen am 21.03.2025},
  journal={Inverse problems},
  doi={10.1088/1361-6420/ad8260},
}
@article{UBHD-68648405,
  author={Lang, Jens and Scheichl, Robert and Silvester, David J.},
  title={A fully adaptive multilevel stochastic collocation strategy for solving elliptic PDEs with random data},
  year={2020},
  pages={17 S.},
  language={eng},
  issn={1090-2716},
  volume={419(2020) Artikel-Nummer 109692},
  number={17 Seiten},
  note={Gesehen am 14.10.2020},
  journal={Journal of computational physics},
  doi={10.1016/j.jcp.2020.109692},
}
@article{UBHD-69076900,
  author={Lykkegaard, Mikkel and Dodwell, T. J. and Fox, C. and Mingas, G. and Scheichl, Robert},
  title={Multilevel delayed acceptance MCMC},
  year={2023},
  pages={1-30},
  language={eng},
  issn={2166-2525},
  volume={11},
  number={1},
  note={Gesehen am 17.05.2023},
  journal={SIAM ASA journal on uncertainty quantification},
  doi={10.1137/22M1476770},
}
@incollection{UBHD-68972840,
  author={Lykkegaard, Mikkel and Dodwell, Tim J. and Fox, Colin and Mingas, Grigorios and Scheichl, Robert},
  title={Multilevel delayed acceptance MCMC},
  edition={Version v3},
  year={2022},
  pages={1-29},
  language={eng},
  note={Online ver{\"o}ffentlicht am 8. Februar 2022, Version 2 am 23. August 2022, Version 3 am 30. August 2022. Erscheinungsdatum laut PDF: 5. September 2022 ; Gesehen am 12.10.2022},
  booktitle={Arxiv},
  doi={10.48550/arXiv.2202.03876},
}
@article{UBHD-68987699,
  author={Ma, Chupeng and Scheichl, Robert and Dodwell, Tim},
  title={Novel design and analysis of generalized finite element methods based on locally optimal spectral approximations},
  year={2022},
  pages={244-273},
  language={eng},
  issn={1095-7170},
  volume={60},
  number={1},
  note={Gesehen am 22.11.2022},
  journal={SIAM journal on numerical analysis},
  doi={10.1137/21M1406179},
}
@article{UBHD-68476675,
  author={Reinarz, Anne and Dodwell, Tim and Fletcher, Tim and Seelinger, Linus and Butler, Richard and Scheichl, Robert},
  title={Dune-composites},
  subtitle={a new framework for high-performance finite element modelling of laminates},
  year={2018},
  pages={269-278},
  language={eng},
  issn={1879-1085},
  volume={184},
  note={Available online: 30 September 2017 ; Gesehen am 15.01.2020},
  journal={Composite structures},
  doi={10.1016/j.compstruct.2017.09.104},
}
@article{UBHD-69008155,
  author={Scheichl, Robert},
  title={K{\"u}nstliche Intelligenz},
  subtitle={zwischen Wunderglaube und Wissenschaft; "der digitale Mathematiker"},
  year={2022},
  pages={129-133},
  language={ger},
  issn={2196-2839},
  volume={22},
  number={2},
  journal={Forum Marsilius-Kolleg},
  doi={10.11588/fmk.2022.2.92719},
  url={https://doi.org/10.11588/fmk.2022.2.92719},
  library={UB},
}
@article{UBHD-69007051,
  author={Schillinger, Maybritt and Ellerhoff, Beatrice and Scheichl, Robert and Rehfeld, Kira},
  title={Separating internal and externally forced contributions to global temperature variability using a Bayesian stochastic energy balance framework},
  year={2022},
  pages={1-17},
  language={eng},
  issn={1089-7682},
  volume={32},
  note={Gesehen am 17.01.2023},
  journal={Chaos},
  doi={10.1063/5.0106123},
}
@incollection{UBHD-68974676,
  author={Schillinger, Maybritt and Ellerhoff, Beatrice and Scheichl, Robert and Rehfeld, Kira},
  title={Separating internal and externally-forced contributions to global temperature variability using a Bayesian stochastic energy balance framework},
  year={2022},
  pages={1-15},
  language={eng},
  note={Version 1 vom 27 Juni 2022, Version 2 vom 30 Juni 2022 ; Gesehen am 17.10.2022},
  booktitle={Arxiv},
  doi={10.48550/arXiv.2206.14573},
}
@incollection{UBHD-68868662,
  author={Seelinger, Linus and Reinarz, Anne and Scheichl, Robert},
  title={A high-performance implementation of a robust preconditioner for heterogeneous problems},
  year={2020},
  pages={117-128},
  language={eng},
  isbn={9783030432287},
  journal={PPAM (13. : 2019 : Białystok)Parallel processing and applied mathematics ; Part 1},
  editor={Wyrzykowski, Roman and Deelman, Ewa and Dongarra, Jack and Karczewski, Konrad},
}