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Space-Time Methods for Time-Dependent Partial Differential Equations

dc.date.accessioned2022-04-06T11:03:12Z
dc.date.available2022-04-06T11:03:12Z
dc.date.issued2022
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3934
dc.description.abstractModern discretization and solution methods for time-dependent PDEs consider the full problem in space and time simultaneously and aim to overcome limitations of classical approaches by first discretizing in space and then solving the resulting ODE, or first discretizing in time and then solving the PDE in space. The development of space-time methods for hyperbolic and parabolic differential equation is an emerging and rapidly growing field in numerical analysis and scientific computing. At the first Workshop on this topic in 2017 a large variety of interesting and challenging concepts, methods, and research directions have been presented; now we exchange the new developments. The focus is on the optimal convergence of discretizations and on efficient error control for space-time methods for hyperbolic and parabolic problems, and on solution methods with optimal complexity. This is complemented by applications in the field of time-dependent stochastic PDEs, non-local material laws in space and time, optimization with time-dependent PDE constraints, and multiscale methods for time-dependent PDEs.
dc.titleSpace-Time Methods for Time-Dependent 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-2022-6
local.series.idOWR-2022-6
local.subject.msc65
local.date-range06 Feb - 12 Feb 2022
local.workshopcode2206
local.workshoptitleSpace-Time Methods for Time-Dependent Partial Differential Equations
local.organizersStig Larsson, Göteborg; Ricardo Nochetto, College Park; Stefan Sauter, Zürich; Christian Wieners, Karlsruhe
local.report-nameWorkshop Report 2022,6
local.opc-photo-id2206
local.publishers-doi10.4171/OWR/2022/6


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