Ray Effect Mitigation for the Discrete Ordinates Method Using Artificial Scattering

Autor: Thomas Camminady, Cory D. Hauck, Martin Frank, Jonas Kusch

Publikováno v: Nuclear Science and Engineering. 194:971-988

Solving the radiative transfer equation with the discrete ordinates (S$_N$) method leads to a non-physical imprint of the chosen quadrature set on the solution. To mitigate these so-called ray effects, we propose a modification of the S$_N$ method, w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f2418a2bf92322b2556e4488d80659f
https://doi.org/10.1080/00295639.2020.1730665

A spectral Galerkin method for the fractional order diffusion and wave equation

Autor: Thomas Camminady, Martin Frank

Publikováno v: International Journal of Advances in Engineering Sciences and Applied Mathematics. 10:90-104

We are going to present a suitable bases to treat the space- and timefractional diffusion equation with the Galerkin method to obtain spectral convergence in both, time and space. Furthermore, by carefully choosing a Fourier ansatz in space, we can g

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::187f1eeb0cfbbe8928c9ee3c1839d48a
https://doi.org/10.1007/s12572-018-0208-y

A new high-order fluid solver for tokamak edge plasma transport simulations based on a magnetic-field independent discretization

Autor: Frédéric Schwander, Eric Serre, Thomas Camminady, Holger Heumann, Giorgio Giorgiani, Philippe Ghendrih, Hervé Guillard, Guido Ciraolo, Patrick Tamain, Hugo Bufferand, Boniface Nkonga

Publikováno v: Contributions to Plasma Physics
Contributions to Plasma Physics, 2018, pp.1-8. ⟨10.1002/ctpp.201700172⟩
Contributions to Plasma Physics, Wiley-VCH Verlag, 2018, pp.1-8. ⟨10.1002/ctpp.201700172⟩

International audience; Our global understanding of the power exhaust in tokamaks, and its implications for both steady-state and transient heat loads on divertor and limiter PFCs, is still poor. In transient situations in particular, such as during

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e38fef90acf61c462629abcfe5f375f0
https://hal.science/hal-01657680/document

Mathematische Grundlagen der Künstlichen Intelligenz im Schulunterricht: Chancen für eine Bereicherung des Unterrichts in linearer Algebra. (German)

Autor: Schönbrodt, Sarah, Camminady, Thomas, Frank, Martin

Publikováno v: Mathematische Semesterberichte; Mar2022, Vol. 69 Issue 1, p73-101, 29p

Maschinelle Lernmethoden für Klassifizierungsprobleme : Perspektiven für die mathematische Modellierung mit Schülerinnen und Schülern

Autor: Sarah Schönbrodt

Sarah Schönbrodt gibt Einblick in die mathematischen Hintergründe der Support Vector Machine und einer auf der Singulärwertzerlegung basierenden Klassifizierungsmethode. Die Autorin stellt fest, dass sich hinter beiden Methoden elementar-mathemati