Tigran T. Tchrakian

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— In this paper, we propose a new framework for macroscopic traffic state estimation based on the Fourier-Galerkin projection method and minimax state estimation approach. We assign a Fourier-Galerkin reduced model to a partial differential equation describing a macroscopic model of traffic flow. Taking into account a priori estimates for the projection(More)
—In this paper, we propose a new framework for macroscopic traffic state estimation. Our approach is a robust " discretize " then " optimize " strategy, based on the Fourier– Galerkin projection method and minimax state estimation. We assign a Fourier–Galerkin reduced model to a macroscopic model of traffic flow, described by a hyperbolic partial(More)
Full waveform inversion (FWI) is an emerging subsurface imaging technique, used to locate oil and gas bodies. The key challenges that hinder its adoption by industry are both algorithmic and computational in nature, including storage, communication, and processing of large-scale system matrices, which impose cardinal impediments upon computational(More)