67 citations · 177 across the 17 of their papers we have counts for
4 papers · 1 filter
Displacement interpolation using monotone rearrangement
Donsub Rim, Kyle T. Mandli
When approximating a function that depends on a parameter, one encounters many practical examples where linear interpolation or linear approximation with respect to the parameters…
Imaging of isotropic and anisotropic conductivities from power densities in three dimensions
François Monard, Donsub Rim
We present numerical reconstructions of anisotropic conductivity tensors in three dimensions, from knowledge of a finite family of power density functionals. Such a problem arises…
Dimensional splitting of hyperbolic partial differential equations using the Radon transform
Donsub Rim
We introduce a dimensional splitting method based on the intertwining property of the Radon transform, with a particular focus on its applications related to hyperbolic partial dif…
Transport reversal for model reduction of hyperbolic partial differential equations
Donsub Rim, Scott Moe, Randall J. LeVeque
Snapshot matrices built from solutions to hyperbolic partial differential equations exhibit slow decay in singular values, whereas fast decay is crucial for the success of projecti…