Sparse tensor Galerkin discretization of parametric and random parabolic PDEs - analytic regularity and generalized polynomial chaos approximation

For initial boundary value problems of linear parabolic partial differential equations with random coefficients, we show analyticity of the solution with respect to the parameters and give an a priori error analysis for N-term generalized polynomial chaos approximations in a scale of Bochner spaces...

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Main Authors: Hoang, Viet Ha., Schwab, Christoph.
其他作者: School of Physical and Mathematical Sciences
格式: Article
語言:English
出版: 2014
主題:
在線閱讀:https://hdl.handle.net/10356/100698
http://hdl.handle.net/10220/18460
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機構: Nanyang Technological University
語言: English