Zobrazeno 1 - 10
of 2 951
pro vyhledávání: '"P Grunert"'
Autor:
Christiansen, Thomas, Grunert, Katrin
We prove that $\alpha$-dissipative solutions to the Cauchy problem of the Hunter-Saxton equation, where $\alpha \in W^{1, \infty}(\mathbb{R}, [0, 1))$, can be computed numerically with order $\mathcal{O}(\Delta x^{{1}/{8}}+\Delta x^{{\beta}/{4}})$ in
Externí odkaz:
http://arxiv.org/abs/2411.07712
Publikováno v:
Phys. Rev. Materials 8, L122201 (2024)
Predicting spectra and related properties such as the dielectric function of crystalline materials based on machine learning has a huge, hitherto unexplored, technological potential. For this reason, we create an ab initio database of 9915 dielectric
Externí odkaz:
http://arxiv.org/abs/2406.08191
Autor:
Christiansen, Thomas, Grunert, Katrin
We propose a new numerical method for $\alpha$-dissipative solutions of the Hunter-Saxton equation, where $\alpha$ belongs to $W^{1, \infty}(\mathbb{R}, [0, 1))$. The method combines a projection operator with a generalized method of characteristics
Externí odkaz:
http://arxiv.org/abs/2404.11174
Autor:
Grunert, Katrin
Publikováno v:
J. Differential Equations 412, 474-528 (2024)
We show that the Cauchy problem for the Camassa-Holm equation has a unique, global, weak, and dissipative solution for any initial data $u_0\in H^1(\mathbb{R})$, such that $u_{0,x}$ is bounded from above almost everywhere. In particular, we establish
Externí odkaz:
http://arxiv.org/abs/2311.15344
Autor:
Svenja Jung, Martin Hoffmann, Dirk Winkler, Erdem Güresir, Fabian Kropla, Sebastian Scholz, Ronny Grunert
Publikováno v:
3D Printing in Medicine, Vol 10, Iss 1, Pp 1-9 (2024)
Abstract Background The development of phantoms to reduce animal testing or to validate new instruments or operation techniques is of increasing importance. For this reason, a blood circulation phantom was developed to test a newly designed retractor
Externí odkaz:
https://doaj.org/article/fd9951748855423596d66a0d3a5f65df
Autor:
Ellen Haynes, Kayla B. Garrett, Ryan K. A. Grunert, John A. Bryan, Metinou Sidouin, Philip Tchindebet Oaukou, Bongo Nare Richard Ngandolo, Michael J. Yabsley, Christopher A. Cleveland
Publikováno v:
BMC Veterinary Research, Vol 20, Iss 1, Pp 1-13 (2024)
Abstract Background Tick-borne pathogens are understudied among domestic animals in sub-Saharan Africa but represent significant threats to the health of domestic animals and humans. Specifically, additional data are needed on tick-borne pathogens in
Externí odkaz:
https://doaj.org/article/2a820d44e1c94ee893947ca1dafe4f5c
Autor:
Daniel C. Baumgart, Andreas Stallmach, Philip Grunert, Stefan Schubert, Stefanie Howaldt, Ulrike von Arnim, Thomas Ochsenkühn, Jürgen Stein, Andreas Lügering, Daniel Schmidt, Marten Schulz, Andreas Fischer
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-15 (2024)
Abstract The impact of ustekinumab (UST) on mucosal- and fistula healing and extraintestinal manifestations (EIM) in Crohn’s disease (CD) were not fully elucidated in the registration trials. In this prospective, multicenter study (EudraCT number:
Externí odkaz:
https://doaj.org/article/8e26c76e4f934deda619918c95c952be
Publikováno v:
J. Sci. Comput. 99, 44 (2024)
A convergent numerical method for $\alpha$-dissipative solutions of the Hunter-Saxton equation is derived. The method is based on applying a tailor-made projection operator to the initial data, and then solving exactly using the generalized method of
Externí odkaz:
http://arxiv.org/abs/2303.08763
Autor:
Grunert, Katrin, Tandy, Matthew
Publikováno v:
Partial Differ. Equ. Appl. 5, 24 (2024)
We explore the Lipschitz stability of solutions to the Hunter-Saxton equation with respect to the initial data. In particular, we study the stability of $ \alpha $-dissipative solutions constructed using a generalised method of characteristics approa
Externí odkaz:
http://arxiv.org/abs/2302.07150
Publikováno v:
npj Computational Materials, Vol 10, Iss 1, Pp 1-9 (2024)
Abstract A robust, simple, and efficient convergence workflow for GW calculations in plane-wave-based codes is derived from more than 7000 GW calculations on a diverse dataset of 70 semiconducting and insulating solids divided into 60 bulk and 10 2D
Externí odkaz:
https://doaj.org/article/71de56e475df498fb40dae974dfb14f2