M4 Engineering has active relationships with several prime contractors who are likely users of this technology. These include Boeing Phantom Works, Northrop Grumman, and Raytheon. These provide excellent commercialization opportunities for the technology. The application of these new uncertainty quantification techniques is expected to find wide application to many aerospace and non-aerospace products. The non-intrusive approach for uncertainty propagation is a widely applicable concept. Examples include aerospace/defense, turbomachinery, automotive, and alternative energy applications. The first NASA application will be performed as a demonstration example during the Phase II project. One candidate for this example will be the SWOT program. It is also expected that this technology will be applicable to other research projects planned at JPL. The effectiveness in reducing the total runtime associated with UQ makes it an ideal candidate for use in computationally demanding systems requiring complex analyses to characterize the design space. Examples of potential application include future space systems, next generation launch and entry systems such as HMMES and HRRLS as well as exploration programs, high efficiency subsonic aircraft, quiet supersonic aircraft, high-altitude, long-endurance aircraft, and hypersonic aircraft. This effort will develop technologies to make use of high fidelity, physics-based UQ analysis earlier in the design cycle. It is therefore applicable in general to any NASA vehicle application. While initial implementation is expected for space applications, applications to future concepts in aeronautics also have potential. This proposal addresses NASA's goals by proposing state of the art advances in UQ methods. The tools developed can be used with an integration framework, and will be widely applicable to space systems as well as subsonic and supersonic vehicles including unconventional designs. By making these analyses available earlier in the design process, more effective vehicle systems can be generated while maintaining safety.