Browsing Department of Mathematics by Author "Zanna, Antonella"
Now showing items 1-4 of 4
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Generating function and volume preserving mappings
Xue, Huiyan; Zanna, Antonella (Peer reviewed; Journal article, 2014-03)In this paper, we study generating forms and generating functions for volume preserving mappings in Rn. We derive some parametric classes of volume preserving numerical schemes for divergence free vector fields. In passing, ... -
Mathematics and Medicine: How mathematics, modelling and simulations can lead to better diagnosis and treatments
Hanson, Erik Andreas; Hodneland, Erlend; Lorentzen, Rolf Johan; Nævdal, Geir; Nordbotten, Jan Martin; Sævareid, Ove; Zanna, Antonella (Lecture Notes in Computational Science and Engineering, Chapter; Peer reviewed; Journal article, 2019)Starting with the discovery of X-rays by Röntgen in 1895, the progress in medical imaging has been extraordinary and immensely beneficial to diagnosis and therapy. Parallel to the increase of imaging accuracy, there is the ... -
A new framework for assessing subject-specific whole brain circulation and perfusion using MRI-based measurements and a multi-scale continuous flow model
Hodneland, Erlend; Hanson, Erik Andreas; Sævareid, Ove; Nævdal, Geir; Lundervold, Arvid; Solteszova, Veronika; Zanna, Antonella; Deistung, Andreas; Reichenbach, Jürgen; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2019-06-25)A large variety of severe medical conditions involve alterations in microvascular circulation. Hence, measurements or simulation of circulation and perfusion has considerable clinical value and can be used for diagnostics, ... -
Symmetric spaces and Lie triple systems in numerical analysis of differential equations
Munthe-Kaas, Hans; Quispel, Reinout; Zanna, Antonella (Peer reviewed; Journal article, 2014-03)A remarkable number of different numerical algorithms can be understood and analyzed using the concepts of symmetric spaces and Lie triple systems, which are well known in differential geometry from the study of spaces of ...