A Fully Adaptive Radau Method for the Efficient Solution of Stiff Ordinary Differential Equations at Low Tolerances · HackerPapers discussions

A Fully Adaptive Radau Method for the Efficient Solution of Stiff Ordinary Differential Equations at Low Tolerances — mentioned by adgjlsfhk1

Tue, 16 Sep 2025 20:39:29 GMT

there are adaptive order ODE solvers that can adapt to arbitrarily high order. For example, e.g. https://arxiv.org/abs/2412.14362 (which I'm a co-author on) can get to ~200th order which should be enough to efficiently solve an ODE into 10s of thousands of digits.

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A Fully Adaptive Radau Method for the Efficient Solution of Stiff Ordinary Differential Equations at Low Tolerances — mentioned by adgjlsfhk1

Fri, 11 Jul 2025 23:49:46 GMT

You might want to try OrdinaryDiffEq.jl. As of last summer, we have really fancy radau methods that are arbitrary order, arbitrary tolerance (see https://arxiv.org/abs/2412.14362 for the paper)

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A Fully Adaptive Radau Method for the Efficient Solution of Stiff Ordinary Differential Equations at Low Tolerances — HN submission

Fri, 20 Dec 2024 15:34:12 GMT

Efficient Solution of Stiff Ordinary Differential Equations at Low Tolerances

2 points; 0 discussion replies on HN. Paper and source history. A submission is not an endorsement.