Gander, Martin J.; Palitta, Davide A new ParaDiag time-parallel time integration method. (English) Zbl 07816749 SIAM J. Sci. Comput. 46, No. 2, A697-A718 (2024). MSC: 65Y05 65F10 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{D. Palitta}, SIAM J. Sci. Comput. 46, No. 2, A697--A718 (2024; Zbl 07816749) Full Text: DOI arXiv
Beranek, Nina; Reinhold, Martin Alexander; Urban, Karsten A space-time variational method for optimal control problems: well-posedness, stability and numerical solution. (English) Zbl 07752375 Comput. Optim. Appl. 86, No. 2, 767-794 (2023). MSC: 65J10 65M12 65Mxx PDFBibTeX XMLCite \textit{N. Beranek} et al., Comput. Optim. Appl. 86, No. 2, 767--794 (2023; Zbl 07752375) Full Text: DOI arXiv OA License
Kressner, Daniel; Massei, Stefano; Zhu, Junli Improved ParaDiag via low-rank updates and interpolation. (English) Zbl 1523.65041 Numer. Math. 155, No. 1-2, 175-209 (2023). MSC: 65F45 65F10 65M22 93C20 PDFBibTeX XMLCite \textit{D. Kressner} et al., Numer. Math. 155, No. 1--2, 175--209 (2023; Zbl 1523.65041) Full Text: DOI arXiv OA License
Palitta, Davide; Tabeart, Jemima M. Stein-based preconditioners for weak-constraint 4D-var. (English) Zbl 07679174 J. Comput. Phys. 482, Article ID 112068, 23 p. (2023). MSC: 65Fxx 15Axx 65Kxx PDFBibTeX XMLCite \textit{D. Palitta} and \textit{J. M. Tabeart}, J. Comput. Phys. 482, Article ID 112068, 23 p. (2023; Zbl 07679174) Full Text: DOI arXiv
Henning, Julian; Palitta, Davide; Simoncini, Valeria; Urban, Karsten An ultraweak space-time variational formulation for the wave equation: analysis and efficient numerical solution. (English) Zbl 1497.35312 ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1173-1198 (2022). MSC: 35L15 35L90 65M15 65M60 PDFBibTeX XMLCite \textit{J. Henning} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1173--1198 (2022; Zbl 1497.35312) Full Text: DOI arXiv
Liu, Jun; Wang, Xiang-Sheng; Wu, Shu-Lin; Zhou, Tao A well-conditioned direct pint algorithm for first- and second-order evolutionary equations. (English) Zbl 07506441 Adv. Comput. Math. 48, No. 3, Paper No. 16, 29 p. (2022). MSC: 65M55 65M12 65M15 65M06 65N06 65F05 15B05 65Y05 PDFBibTeX XMLCite \textit{J. Liu} et al., Adv. Comput. Math. 48, No. 3, Paper No. 16, 29 p. (2022; Zbl 07506441) Full Text: DOI arXiv
Bünger, Alexandra; Simoncini, Valeria; Stoll, Martin A low-rank matrix equation method for solving PDE-constrained optimization problems. (English) Zbl 07418123 SIAM J. Sci. Comput. 43, No. 5, S637-S654 (2021). MSC: 65F10 49M41 65F45 65F55 PDFBibTeX XMLCite \textit{A. Bünger} et al., SIAM J. Sci. Comput. 43, No. 5, S637--S654 (2021; Zbl 07418123) Full Text: DOI arXiv