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Mathematical models of physical and biological systems contain parameters that need to be estimated from measured data. Models with parameters distributed probabilistically require the estimates of a probability measure over the set of admissible parameters. We propose to use frequentist-based approaches for non-parametrically estimating probability measures that describe the distribution of par ...

We propose algorithm development and efficient GPU implementation of numerical PDE solvers based on four novel high-order methodologies: 1) High-order Discontinuous Galerkin approaches, 2) Fast High-Order boundary integral methods, 3) Convergent FFT-based methodologies for evaluation of computational boundary conditions, and 4) Fourier Continuation methods. These methodologies are applicable to a ...

The present text proposes development of efficient, accurate and rapidly-convergent algorithms for the simulation of propagation and scattering of electromagnetic fields within and around structures that (i) Consist of complex combinations of penetrable materials as well as perfect and imperfect conductors, and, (ii) Possess complex geometrical characteristics, including open surfaces, metallic c ...

ABSTRACT: We propose development of an efficient physics-based computational capability for real-time radar location of targets in cluttered environments. Our effort will focus, in particular, on air traffic targets in static natural environments that include dynamic effects such as spinning wind turbines. The proposed methodology models radar signal scattering in cluttered environments on t ...

Detecting explosives and weapons under clothing or in hand carried packages, and imaging terrain and objects through fog and smoke are two high-priority needs that can be met using light in the Terahertz frequency range. However, to image concealed threats, and aid in navigation in fog and smoke, a practical, low cost THz camera is needed. Intelligent Optical Systems (IOS) in collaboration with Re ...