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there are adaptive order ODE solvers that can adapt to arbitrarily high order. For example, e.g. https://arxiv.org/abs/2412.14362 https://arxiv.org/abs/2412.143
by adgjlsfhk1 1y ago
there are adaptive order ODE solvers that can adapt to arbitrarily high order. For example, e.g. https://arxiv.org/abs/2412.14362 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.