most citedTravel time tomography in stationary spacetimes

2 citations · 4 across the 3 of their papers we have counts for

collaborators

6 papers

math.AP20202 cited

A Non-Iterative Reconstruction Algorithm for the Acoustic Inverse Boundary Value Problem

Tianyu Yang, Yang Yang

We present a non-iterative algorithm to reconstruct the isotropic acoustic wave speed from the measurement of the Neumann-to-Dirichlet map. The algorithm is designed based on the b…

math.AP2020

Ultrasound Modulated Bioluminescence Tomography With A Single Optical Measurement

Francis Chung, Tianyu Yang, Yang Yang

Ultrasound modulated bioluminescence tomography (UMBLT) is an imaging method which can be formulated as a hybrid inverse source problem. In the regime where light propagation is mo…

math.AP20202 cited

Travel time tomography in stationary spacetimes

Gunther Uhlmann, Yang Yang, Hanming Zhou

In this paper, we consider the boundary rigidity problem on a cylindrical domain in , , equipped with a stationary (time-invariant) Lorentzian metric. We…

math.AP2020

Reconstruction of the collision kernel in the nonlinear Boltzmann equation

Ru-Yu Lai, Gunther Uhlmann, Yang Yang

We consider an inverse problem for the Boltzmann equation with nonlinear collision operator in dimensions . We show that the kinetic collision kernel can be uniquely deter…

math.AP2016

Thermo and photoacoustic Tomography with variable speed and planar detectors

Plamen Stefanov, Yang Yang

We analyze the mathematical model of multiwave tomography with a variable speed with integrating measurements on planes tangent to a sphere surrounding the source. We prove sharp u…

math.AP2016

Multiwave tomography with reflectors: Landweber's iteration

Plamen Stefanov, Yang Yang

We use the Landweber method for numerical simulations for the multiwave tomography problem with a reflecting boundary and compare it with the averaged time reversal method. We also…