In the design of practical combustion systems, ensuring safety and reliability is an important
requirement. For instance, reliably avoiding lean blowout, flame flashback or inlet unstart is …

Uncertainty quantification in complex physical models is often challenged by the
computational expense of these models. One often needs to operate under the assumption …

We propose a multi-element stochastic collocation method that can be applied in high-
dimensional parameter space for functions with discontinuities lying along manifolds of …

The design of key nonlinear systems often requires the use of expensive blackbox
simulations presenting inherent discontinuities whose positions in the variable space cannot …

This paper examines experimental design procedures used to develop surrogates of
computational models, exploring the interplay between experimental designs and …

In this work, a sinusoidal vibration test method with resonance tracking is employed for
reliability testing of circuit assemblies. The system continuously monitors for changes in the …

This article focuses on the stochastic modeling of nonlinear systems featuring discontinuities
in their response surface. More specifically, original developments are presented to improve …

Surrogate models have shown to be an extremely efficient aid in solving engineering
problems that require repeated evaluations of an expensive computational model. They are …

Surrogate models for computational simulations are input-output approximations that allow
computationally intensive analyses, such as uncertainty propagation and inference, to be …

In this paper, we introduce a method known as polynomial frame approximation for
approximating smooth, multivariate functions defined on irregular domains in, for a large …