Some new perspectives on developing asymptotic preserving schemes
Duration: 51 mins 49 secs
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About this item
| Description: |
Li Wang (University of Minnesota)
24/05/2022 Programme: FKTW05 SemId: 35880 |
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| Created: | 2022-06-08 12:04 |
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| Collection: |
Frontiers in analysis of kinetic equations
- Latest Videos - |
| Publisher: | Li Wang |
| Copyright: | Isaac Newton Institute |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Categories: |
iTunes - Science iTunes - Mathematics - Advanced Mathematics |
| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | In this talk, I will introduce two new approaches for constructing asymptotic preserving schemes for kinetic equations using variational formulations. One invokes the power of neural networks, and we show uniform stability in the sense that the numerical error can be controlled by the loss function of the neural networks. The other is based on a minimizing movement scheme, which takes the advantage of the versatile optimization toolbox. In this case, we discuss the uniform convergence rate with respect to the scaling parameters. |
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