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New fully adaptive Radau IIA method, achieves state-of-the-art performance for high accuracy on highly stiff ODEs. It has a fully automated order construction with adaptive order, and thus if you use higher precision numbers it can automatically construct 17th, 21st, etc. order versions of the method on the fly. Outperforms the classic Hairer Fortran implementation of radau by about 2x across the board!
For more details see: https://arxiv.org/abs/2412.14362 #julialang #sciml
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