Christina Frederick

activity

20132026

most citedSeabed classification using physics-based modeling and machine learning

61 citations · 65 across the 6 of their papers we have counts for

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Showing math.NAShow all

3 papers · 1 filter

math.NA2016★ 4 cited

Seafloor identification in sonar imagery via simulations of Helmholtz equations and discrete optimization

Bjorn Engquist, Christina Frederick, Quyen Huynh +1

We present a multiscale approach for identifying features in ocean beds by solving inverse problems in high frequency seafloor acoustics. The setting is based on Sound Navigation A…

math.NA2014

Numerical methods for multiscale inverse problems

Christina Frederick, Bjorn Engquist

We consider the inverse problem of determining the highly oscillatory coefficient $a^{ε}$ in partial differential equations of the form $- \nabla \cdot (a^{ε} \nabla u^{ε}) + b u^{ε} = f$ from gi…

math.NA2013

Nonuniform sampling and multiscale computation

Björn Engquist, Christina Frederick

In homogenization theory and multiscale modeling, typical functions satisfy the scaling law $f^{ε} (x) = f (x, x / ε)$ , where $f$ is periodic in the second variable and $ε$ is the smalles…