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math.NA2022★ 12 cited
Learning Green's functions associated with time-dependent partial differential equations
Nicolas Boullé, Seick Kim, Tianyi Shi +1
Neural operators are a popular technique in scientific machine learning to learn a mathematical model of the behavior of unknown physical systems from data. Neural operators are es…
math.NA2022★ 5 cited
On the stability of unevenly spaced samples for interpolation and quadrature
Annan Yu, Alex Townsend
Unevenly spaced samples from a periodic function are common in signal processing and can often be viewed as a perturbed equally spaced grid. In this paper, we analyze how the uneve…