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- W3005658512 abstract "We investigate the structure of the non-linear operator featured in the Smoluchowski-type system of ordinary differential equations, and find a way to express it algebraically in terms of the parameters of the problem and a few auxiliary tensors, describing, in a sense, the “shape” of the system. We find compact representations of these auxiliary tensors in terms of a Tensor Train decomposition. Provided the parameters admit a compact representation in this format as well, this allows us to rather straightforwardly reuse standard numerical algorithms for a wide range of associated problems, obtaining (O(log N)) asymptotic complexity." @default.
- W3005658512 created "2020-02-24" @default.
- W3005658512 creator A5029633837 @default.
- W3005658512 date "2020-01-01" @default.
- W3005658512 modified "2023-09-27" @default.
- W3005658512 title "Tensorisation in the Solution of Smoluchowski Type Equations" @default.
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- W3005658512 doi "https://doi.org/10.1007/978-3-030-41032-2_20" @default.
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