Fachgruppe Mathematik: Browsing Fachgruppe Mathematik by Title
Now showing items 3-6 of 6
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Efficient solution of ill-posed integral equations through averaging
Griebel, Michael; Jahn, Tim (2024-01)This paper discusses the error and cost aspects of ill-posed integral equations when given discrete noisy point evaluations on a fine grid. Standard solution methods usually employ discretization schemes that are directly ... -
A mass-conserving sparse grid combination technique with biorthogonal hierarchical basis functions for kinetic simulations
Pollinger, Theresa; Rentrop, Johannes; Pflüger, Dirk; Kormann, Katharina (2022-09)The exact numerical simulation of plasma turbulence is one of the assets and challenges in fusion research. For grid-based solvers, sufficiently fine resolutions are often unattainable due to the curse of dimensionality. ... -
On the expected uniform error of Brownian motion approximated by the Lévy-Ciesielski construction
Brown, Bruce; Griebel, Michael; Kuo, Frances Y.; Sloan, Ian H. (2023-04)It is known that the Brownian bridge or Lévy-Ciesielski construction of Brownian paths almost surely converges uniformly to the true Brownian path. In the present article the focus is on the uniform error. In particular, ... -
Simrank-based prediction of crash simulation similarities
Pakiman, Anahita; Garcke, Jochen; Schumacher, Axel (2022)Data searchability has been utilized for decades and is now a crucial ingredient of data reuse. However, data searchability in industrial engineering is essentially still at the level of individual text documents, while ...