90 citations · 503 across the 77 of their papers we have counts for
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Multi-scale discrete approximations of Fourier integral operators associated with canonical transformations and caustics
Maarten V. de Hoop, Gunther Uhlmann, Andras Vasy +1
We develop an algorithm for the computation of general Fourier integral operators associated with canonical graphs. The algorithm is based on dyadic parabolic decomposition using w…
A convergence analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints
Maarten V. de Hoop, Lingyun Qiu, Otmar Scherzer
We consider nonlinear inverse problems described by operator equations in Banach spaces. Assuming conditional stability of the inverse problem, that is, assuming that stability hol…
Diffraction from conormal singularities
Maarten de Hoop, Gunther Uhlmann, András Vasy
In this paper we show that for metrics with conormal singularities that correspond to class C^{1,α} with α>0, the reflected wave is more regular than the incident wave in a Sobolev…
Lipschitz stability of an inverse boundary value problem for a Schrödinger type equation
Elena Beretta, Maarten V. de Hoop, Lingyun Qiu
In this paper we study the inverse boundary value problem of determining the potential in the Schrödinger equation from the knowledge of the Dirichlet-to-Neumann map, which is comm…