https://orcid.org/0000-0002-2552-3022
References
- King FW. Hilbert transforms. Vol. 1. Cambridge: Cambridge University Press; 2009.
- Hahn SL. Hilbert transforms in signal processing. London: Artech House Publishers; 1996.
- Olver S. Computing the Hilbert transform and its inverse. Math Comp. 2011;80:1745–1767.
- Butzer PL, Trebels W. Hilbert transformation, gebrochene integration and differentiation. Wiesbaden: Springer Fachmedien; 1968.
- Fontes M. Parabolic equations with low regularity. [PhD thesis]. Lund University; 1996.
- Larsson S, Schwab C. Compressive space-time Galerkin discretizations of parabolic partial differential equations. arXiv:1501.04514v1; 2015.
- Auscher P, Egert M, Nyström K. L2 well-posedness of boundary value problems for parabolic systems with measurable coefficients. J Eur Math Soc. 2020;22:2943–3058.
- Steinbach O, Zank M. Coercive space-time finite element methods for initial boundary value problems. Electron Trans Numer Anal. 2020;52:154–194.
- Löscher R, Steinbach O, Zank M. Numerical results for an unconditionally stable space-time finite element method for the wave equation. In: Brenner S, Chung E, Klawonn A, Kwok F, Xu J, Zou J, editors. Domains decomposition methods in science and engineering XXVI. Lecture Notes in Computational Science and Engineering. Cham: Springer; 2022.
- Steinbach O, Urzúa–Torres C, Zank M. Towards coercive boundary element methods for the wave equation. arXiv:2106.01646; 2021.
- Costabel M, Zank M. Coercive space-time single layer operator of the wave equation for flat objects. In preparation; 2022.
- Niino K, Hanzawa M, Steinbach O. On a finite element method using a Hilbert-type transformation for the 1D heat equation. JASCOME. 2019;19:19-191201.
- Steinbach O, Zank M. A note on the efficient evaluation of a modified Hilbert transformation. J Numer Math. 2021;29:47–61.