306 citations · 668 across the 30 of their papers we have counts for
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A model reduction approach to numerical inversion for a parabolic partial differential equation
Liliana Borcea, Vladimir Druskin, Alexander V. Mamonov +1
We propose a novel numerical inversion algorithm for the coefficients of parabolic partial differential equations, based on model reduction. The study is motivated by the applicati…
Quantitative photoacoustic imaging in radiative transport regime
Alexander V. Mamonov, Kui Ren
The objective of quantitative photoacoustic tomography (QPAT) is to reconstruct optical and thermodynamic properties of heterogeneous media from data of absorbed energy distributio…
Point source identification in non-linear advection-diffusion-reaction systems
Alexander V. Mamonov, Yen-Hsi Richard Tsai
We consider a problem of identification of point sources in time dependent advection-diffusion systems with a non-linear reaction term. The linear counterpart of the problem in que…