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Linear Fredholm integral equations of the first kind over surfaces in 3D

  • Linear Fredholm integral equations of the first kind over surfaces are less familiar than those of the second kind, although they arise in many applications like computer tomography, heat conduction and inverse scattering. This article emphasizes their numerical treatment, since discretization usually leads to ill-conditioned linear systems. Strictly speaking, the matrix is nearly singular and ordinary numerical methods fail. However, there exists a numerical regularization method - the Tikhonov method - to deal with this ill-conditioning and to obtain accurate numerical results.

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Metadaten
Author: Andreas Kleefeld
URL:http://www.tandfonline.com/doi/abs/10.1080/00207160.2011.554543
Document Type:Scientific journal article peer-reviewed
Language:English
Year of publication:2011
Quelle aus UBICO:International Journal of Computer Mathematics 88 (2011)13, pp. 2728-2742, 0020-7160
Faculty/Chair:Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Numerische Mathematik und Wissenschaftliches Rechnen
Institution name at the time of publication:Fakultät für Mathematik, Naturwissenschaften und Informatik (eBTU) / LS Mathematik, insbesondere Numerische Mathematik und Wissenschaftliches Rechnen
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