12 citations · 15 across the 6 of their papers we have counts for
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math.NA2023
Uniform boundary observability for the spectral collocation of the linear elasticity system
Somia Boumimez, Carlos Castro
A well-known boundary observability inequality for the elasticity system establishes that the energy of the system can be estimated from the solution on a sufficiently large part o…
math.NA2023
Numerical approximation of the boundary control for the wave equation with a spectral collocation method
Somia Boumimez, Carlos Castro
We propose a spectral collocation method to approximate the exact boundary control of the wave equation in a square domain. The idea is to introduce a suitable approximate control…
math.NA2015★ 12 cited
Numerical approximation of the potential in the two-dimensional inverse scattering problem
Juan Antonio Barceló, Carlos Castro, Juan Manuel Reyes
We present an iterative algorithm to compute numerical approximations of the potential for the Schrödinger operator from scattering data. Four different types of scattering data ar…