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Showing 2024 · math.NAShow all
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math.NA2024★ 1 cited
A direct reconstruction method for radiating sources in Maxwell's equations with single-frequency data
Isaac Harris, Thu Le, Dinh-Liem Nguyen
This paper presents a fast and robust numerical method for reconstructing point-like sources in the time-harmonic Maxwell's equations given Cauchy data at a fixed frequency. This i…
math.NA2024
Spline-Based Stochastic Collocation Methods for Uncertainty Quantification in Nonlinear Hyperbolic PDEs
Alina Chertock, Arsen S. Iskhakov, Safa Janajra +1
In this paper, we study the stochastic collocation (SC) methods for uncertainty quantification (UQ) in hyperbolic systems of nonlinear partial differential equations (PDEs). In the…