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math.NA2022
Direct optimization of BPX preconditioners
Vladimir Fanaskov, Ivan Oseledets
We consider an automatic construction of locally optimal preconditioners for positive definite linear systems. To achieve this goal, we introduce a differentiable loss function tha…
math.NA2022★ 7 cited
Spectral Neural Operators
V. Fanaskov, I. Oseledets
A plentitude of applications in scientific computing requires the approximation of mappings between Banach spaces. Recently introduced Fourier Neural Operator (FNO) and Deep Operat…