Dimension reduction in stochastic modeling of coupled problems
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Publication:2952138
DOI10.1002/nme.4364zbMath1352.65014arXiv1112.4761OpenAlexW2964198986MaRDI QIDQ2952138
Roger G. Ghanem, M. Arnst, Eric T. Phipps, J. R. Red-Horse
Publication date: 30 December 2016
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.4761
Numerical solutions to stochastic differential and integral equations (65C30) Numerical chaos (65P20)
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Cites Work
- Sparse grid quadrature in high dimensions with applications in finance and insurance
- A priori error estimates of finite element solutions of parametrized strongly nonlinear boundary value problems
- A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations
- Stochastic model reduction for chaos representations
- Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
- Comparative study of projection schemes for stochastic finite element analysis
- On the Discretization Error of Parametrized Nonlinear Equations
- A concurrent model reduction approach on spatial and random domains for the solution of stochastic PDEs
- Elements of a function analytic approach to probability
- Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure
- High-Order Collocation Methods for Differential Equations with Random Inputs