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Numerical Approximation of Parabolic Stochastic Partial Differential Equations

Authors: Erika Hausenblas

Published in: Dagstuhl Seminar Proceedings, Volume 4401, Algorithms and Complexity for Continuous Problems (2005)


Abstract
The topic of the talk were the time approximation of quasi linear stochastic partial differential equations of parabolic type. The framework were in the setting of stochastic evolution equations. An error bounds for the implicit Euler scheme was given and the stability of the scheme were considered.

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Erika Hausenblas. Numerical Approximation of Parabolic Stochastic Partial Differential Equations. In Algorithms and Complexity for Continuous Problems. Dagstuhl Seminar Proceedings, Volume 4401, pp. 1-2, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)


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@InProceedings{hausenblas:DagSemProc.04401.8,
  author =	{Hausenblas, Erika},
  title =	{{Numerical Approximation of Parabolic Stochastic Partial Differential Equations}},
  booktitle =	{Algorithms and Complexity for Continuous Problems},
  pages =	{1--2},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{4401},
  editor =	{Thomas M\"{u}ller-Gronbach and Erich Novak and Knut Petras and Joseph F. Traub},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04401.8},
  URN =		{urn:nbn:de:0030-drops-1417},
  doi =		{10.4230/DagSemProc.04401.8},
  annote =	{Keywords: Stochastic Partial Differential Equations , Stochastic evolution Equations , Numerical Approximation , implicit Euler scheme}
}
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