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math.AP2018★ 1 cited
Lipschitz stability in inverse source and inverse coefficient problems for a first- and half-order time-fractional diffusion equation
Atsushi Kawamoto, Manabu Machida
We consider inverse problems for the first and half order time fractional equation. We establish the stability estimates of Lipschitz type in inverse source and inverse coefficient…
physics.comp-ph2018
A hybrid inversion scheme combining Markov chain Monte Carlo and iterative methods for determining optical properties of random media
Yu Jiang, Yoko Hoshi, Manabu Machida +1
Near-infrared spectroscopy (NIRS) including diffuse optical tomography is an imaging modality which makes use of diffuse light propagation in random media. When optical properties…