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...
Saved in:
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 |
標簽: |
添加標簽
沒有標簽, 成為第一個標記此記錄!
|
機構: | Nanyang Technological University |
語言: | English |
相似書籍
-
Analytic regularity and polynomial approximation of stochastic, parametric elliptic multiscale PDEs
由: Schwab, Christoph., et al.
出版: (2013) -
Regularity and generalized polynomial chaos approximation of parametric and random second-order hyperbolic partial differential equations
由: Hoang, Viet Ha., et al.
出版: (2013) -
Analyticity, regularity, and generalized polynomial chaos approximation of stochastic, parametric parabolic two-scale partial differential equations
由: Hoang, Viet Ha
出版: (2022) -
N-term Wiener chaos approximation rates for elliptic PDEs with lognormal Gaussian random inputs
由: Hoang, Viet Ha., et al.
出版: (2014) -
Generalised polynomial chaos approximations for random parabolic and fractional parabolic partial differential equations with log-normal coefficients
由: Ong, Keng Ping
出版: (2024)