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

• المؤلفون الرئيسيون: Hoang, Viet Ha., Schwab, Christoph.
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2014
• الموضوعات: DRNTU::Science::Mathematics::Analytic mechanics
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/100698; http://hdl.handle.net/10220/18460
• المؤسسة: Nanyang Technological University

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...