In simulation-based realization of complex systems, we are forced to address the issue of
computational complexity. One critical issue that must be addressed is the approximation of …

Computation-intensive design problems are becoming increasingly common in
manufacturing industries. The computation burden is often caused by expensive analysis …

Digital twin can be defined as a virtual representation of a physical asset enabled through
data and simulators for real-time prediction, optimization, monitoring, controlling, and …

The norm on a vector space generalizes the concept of the length for a vector. Similarly, we
will typically impose inner products which provide measures of orthogonality as an …

Experiments have long been used to study the relationship between a set of inputs to a
physical system and the resulting output. Termed physical experiments in this text, there is a …

Any device aiming to harness the abundant clean and renewable energy from ocean and
other water resources must have high energy density, be unobtrusive, have low …

Enabling fast and accurate physical simulations with data has become an important area of
computational physics to aid in inverse problems, design-optimization, uncertainty …

A digital twin can be defined as an adaptive model of a complex physical system. Recent
advances in computational pipelines, multiphysics solvers, artificial intelligence, big data …

The quantification of probabilistic uncertainties in the outputs of physical, biological, and
social systems governed by partial differential equations with random inputs require, in …

A randomly generated Latin hypercube design (LHD) can be quite structured: the variables
may be highly correlated or the design may not have good space-filling properties. There …