A. De Cezaro

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We investigate modified steepest descent methods coupled with a loping Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations. We show that the proposed method is a convergent regularizationmethod. Numerical tests are presented for a linear problem related to photoacoustic tomography and a non-linear problem(More)
We study a convex regularization of the local volatility surface identification problem for the Black-Scholes partial differential equation from prices of European call options. This is a highly nonlinear ill-posed problem which in practice is subject to different noise levels associated to bid-ask spreads and sampling errors. We analyze, in appropriate(More)
We address the classical issue of appropriate choice of the regularization and discretization level for the Tikhonov regularization of an inverse problem with imperfectly measured data. We focus on the fact that the proper choice of the discretization level in the domain together with the regularization parameter is a key feature in adequate regularization.(More)
The objective of this work was to investigate the application of supercritical carbon dioxide as antisolvent for the co-precipitation of -carotene and poly(hydroxybutirate-co-hydroxyvalerate) (PHBV) with dichloromethane as organic solvent. For this purpose, the concentrations of -carotene (1 to 8 mg.cm) and PHBV (20 to 40 mg.cm) in the organic solution were(More)
Quantitative Photoacoustic tomography (QPAT) is an emerging medical imaging modality that offers the possibility of combining the high resolution of acoustic waves and large contrast of optical waves by quantifying the molecular concentration in biological tissue. In this paper, we prove properties of the forward operator that associate optical parameters(More)
We investigate uniqueness in the inverse problem of reconstructing simultaneously a spacewise conductivity function and a heat source in the parabolic heat equation from the usual conditions of the direct problem and additional information from a supplementary temperature measurement at a given single instant of time. In the multi-dimensional case, we use(More)
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