A novel method based on augmented Markov vector process for the time-variant extreme value distribution of stochastic dynamical systems enforced by Poisson white noise. - Meng-Ze Lyu; Jianbing Chen; Antonina Pirrotta (Commun. Nonlinear Sci. Numer. Simul., 2020)

A new approach for time-variant probability density function of the maximal value of stochastic dynamical systems. - Jianbing Chen; Meng-Ze Lyu (J. Comput. Phys., 2020)

Closed-Form Solutions for the Probability Distribution of Time-Variant Maximal Value Processes for Some Classes of Markov Processes. - Meng-Ze Lyu; Jin-Min Wang; Jianbing Chen (Commun. Nonlinear Sci. Numer. Simul., 2021)

A novel model and simulation method for multivariate Gaussian fields involving nonlinear probabilistic dependencies and different variable-wise spatial variabilities. - Meng-Ze Lyu; Yang-Yi Liu; Jianbing Chen (Reliab. Eng. Syst. Saf., 2025)

High-efficient non-iterative reliability-based design optimization based on the design space virtually conditionalized reliability evaluation method. - Meng-Ze Lyu; Jia-Shu Yang; Jianbing Chen; Jie Li (Reliab. Eng. Syst. Saf., 2025)

Structural design optimization under stochastic excitations considering first-passage probability constraint based on dimension-reduced probability density evolution equation. - Jia-Shu Yang; Meng-Ze Lyu; Jianbing Chen; Jian-Yang Xue (Reliab. Eng. Syst. Saf., 2025)