2 ms·
If you like Padé approximants, have you been following Trefethen & al.’s recent work on the "AAA" algorithm etc.? https://arxiv.org/pdf/1612.00337.pdf https://a
by jacobolus 5y ago
If you like Padé approximants, have you been following Trefethen & al.’s recent work on the "AAA" algorithm etc.? https://arxiv.org/pdf/1612.00337.pdf https://arxiv.org/pdf/1612.00337.pdf https://arxiv.org/pdf/1705.10132.pdf https://arxiv.org/pdf/1705.10132.pdf
See also the lecture https://www.youtube.com/watch?v=S1upJPMIFfg https://www.youtube.com/watch?v=S1upJPMIFfg
- azalemeth 5y agoNo, I haven't -- thank you very much for sharing. I've only ever used them, e.g. for spectral decomposition in magnetic resonance in a medical setting (1) with the fast Padé transformation, which has a wonderfully deep relationship with the DEs describing magnetic resonance (2). Thanks also for the lecture - I'll enjoy. Nick Trefethen is such a good speaker. He taught me in a graduate course in numerical methods -- honestly, I'd watch those lectures on a loop again. (1) https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5179227/ https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5179227/ (2) https://iopscience.iop.org/article/10.1088/0031-9155/51/5/001/meta https://iopscience.iop.org/article/10.1088/0031-9155/51/5/00...