Uncertainty quantification (UQ) is increasingly critical for modelling complex systems in which input parameters or environmental conditions vary unpredictably. Polynomial chaos methods offer a ...

The paper characterizes matrices A = {aij i,j=0 N which have a given system of vectors orthogonal with respect to a given probability distribution as its right eigenvectors. Results of Hoare and ...

Quantum mechanics has long provided a vibrant framework for understanding the microscopic world, with mathematical constructs such as orthogonal polynomials playing a pivotal role. These specialised ...

When values of the dependent variables in the MODEL statement represent repeated measurements on the same experimental unit, the REPEATED statement enables you to test hypotheses about the measurement ...