An iterative polynomial chaos approach toward stochastic elastostatic structural analysis with non‐Gaussian randomness

Adaptive sparse polynomial chaos expansions for global sensitivity analysis based on support vector regression

(2018) Kai Cheng et al.   COMPUTERS & STRUCTURES

A polynomial chaos expansion in dependent random variables

(2018) Sharif Rahman   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A cubature collocation based sparse polynomial chaos expansion for efficient structural reliability analysis

(2018) Jun Xu et al.   STRUCTURAL SAFETY

Mathematical Properties of Polynomial Dimensional Decomposition

(2018) Sharif Rahman   SIAM-ASA Journal on Uncertainty Quantification

A robust and efficient stepwise regression method for building sparse polynomial chaos expansions

(2017) Simon Abraham et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Wiener–Hermite polynomial expansion for multivariate Gaussian probability measures

(2017) Sharif Rahman   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Adaptive-sparse polynomial dimensional decomposition methods for high-dimensional stochastic computing

(2014) Vaibhav Yadav et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Independent Component Analysis to enhance performances of Karhunen–Loeve expansions for non-Gaussian stochastic processes: Application to uncertain systems

(2014) Mohammad Khalil et al.   JOURNAL OF SOUND AND VIBRATION

Stochastic representation and dimension reduction for non-Gaussian random fields: review and reflection

(2013) Heng Li et al.   STOCHASTIC ENVIRONMENTAL RESEARCH AND RISK ASSESSMENT

A reduced polynomial chaos expansion method for the stochastic finite element analysis

(2012) B PASCUAL et al.   SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES

Doubly Spectral Stochastic Finite-Element Method for Linear Structural Dynamics

(2011) Sondipon Adhikari   JOURNAL OF AEROSPACE ENGINEERING

Adaptive sparse polynomial chaos expansion based on least angle regression

(2010) Géraud Blatman et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis

(2009) Géraud Blatman et al.   PROBABILISTIC ENGINEERING MECHANICS

Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach

(2008) Géraud Blatman et al.   COMPTES RENDUS MECANIQUE

The stochastic finite element method: Past, present and future

(2008) George Stefanou   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A polynomial dimensional decomposition for stochastic computing

(2008) Sharif Rahman   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

(2008) F. Nobile et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS