Probabilistic models for stochastic elliptic partial differential equations. - Mircea Grigoriu (J. Comput. Phys., 2010)

A spectral-based Monte Carlo algorithm for generating samples of nonstationary Gaussian processes. - Mircea Grigoriu (Monte Carlo Methods Appl., 2010)

A method for solving stochastic equations by reduced order models and local approximations. - Mircea Grigoriu (J. Comput. Phys., 2012)

An algorithm for on-the-fly generation of samples of non-stationary Gaussian processes based on a sampling theorem. - Richard V. Field Jr.; Mircea Grigoriu; Clark R. Dohrmann (Monte Carlo Methods Appl., 2013)

Response Statistics for Random Heterogeneous Microstructures. - Mircea Grigoriu (SIAM/ASA J. Uncertain. Quantification, 2014)

An efficient Monte Carlo solution for problems with random matrices. - Mircea Grigoriu (Monte Carlo Methods Appl., 2014)

Parametric models for samples of random functions. - Mircea Grigoriu (J. Comput. Phys., 2015)

Microstructure Models and Material Response by Extreme Value Theory. - Mircea Grigoriu (SIAM/ASA J. Uncertain. Quantification, 2016)

Estimates of System Response Maxima by Extreme Value Theory and Surrogate Models. - Mircea Grigoriu (SIAM/ASA J. Uncertain. Quantification, 2017)

Monte Carlo algorithm for vector-valued Gaussianfunctions with preset component accuracies. - Mircea Grigoriu (Monte Carlo Methods Appl., 2017)

Finite dimensional models for random functions. - Mircea Grigoriu (J. Comput. Phys., 2019)

PC Translation Models for Random Vectors and Multivariate Extremes. - Mircea Grigoriu (SIAM J. Sci. Comput., 2019)

Specification of Additional Information for Solving Stochastic Inverse Problems. - Wayne Isaac T. Uy; Mircea Grigoriu (SIAM J. Sci. Comput., 2019)

Time evolution of the characteristic and probability density function of diffusion processes via neural networks. - Wayne Isaac Tan Uy; Mircea Grigoriu (CoRR, 2020)

Data-based importance sampling estimates for extreme events. - Mircea Grigoriu (J. Comput. Phys., 2020)

Monte Carlo estimates of extremes of stationary/nonstationary Gaussian processes. - Mircea Dan Grigoriu (Monte Carlo Methods Appl., 2023)

A novel surrogate for extremes of random functions. - Hui Xu; Mircea Dan Grigoriu; Kurtis R. Gurley (Reliab. Eng. Syst. Saf., 2023)

Harmonizable Nonstationary Processes. - Mircea Grigoriu (SIAM/ASA J. Uncertain. Quantification, 2024)

Finite-Dimensional Models for Response Analysis. - Hui Xu; Mircea Grigoriu (SIAM/ASA J. Uncertain. Quantification, 2024)