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Computational Inverse Problems for Partial Differential Equations

dc.date.accessioned2019-10-24T15:31:10Z
dc.date.available2019-10-24T15:31:10Z
dc.date.issued2017
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3588
dc.description.abstractThe problem of determining unknown quantities in a PDE from measurements of (part of) the solution to this PDE arises in a wide range of applications in science, technology, medicine, and finance. The unknown quantity may e.g. be a coefficient, an initial or a boundary condition, a source term, or the shape of a boundary. The identification of such quantities is often computationally challenging and requires profound knowledge of the analytical properties of the underlying PDE as well as numerical techniques. The focus of this workshop was on applications in phase retrieval, imaging with waves in random media, and seismology of the Earth and the Sun, a further emphasis was put on stochastic aspects in the context of uncertainty quantification and parameter identification in stochastic differential equations. Many open problems and mathematical challenges in application fields were addressed, and intensive discussions provided an insight into the high potential of joining deep knowledge in numerical analysis, partial differential equations, and regularization, but also in mathematical statistics, homogenization, optimization, differential geometry, numerical linear algebra, and variational analysis to tackle these challenges.
dc.titleComputational Inverse Problems for Partial Differential Equations
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWR-2017-24
local.series.idOWR-2017-24
local.subject.msc86
local.subject.msc35
local.subject.msc65
local.sortindex1028
local.date-range14 May - 20 May 2017
local.workshopcode1720
local.workshoptitleComputational Inverse Problems for Partial Differential Equations
local.organizersLiliana Borcea, Ann Arbor; Thorsten Hohage, Göttingen; Barbara Kaltenbacher, Klagenfurt
local.report-nameWorkshop Report 2017,24
local.opc-photo-id1720
local.publishers-doi10.4171/OWR/2017/24
local.ems-referenceBorcea Liliana, Hohage Thorsten, Kaltenbacher Barbara: Computational Inverse Problems for Partial Differential Equations. Oberwolfach Rep. 14 (2017), 1463-1549. doi: 10.4171/OWR/2017/24


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