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- [ ] Explicit Runge-Kutta (ERK)
- [x] #30
- [ ] fully implicit Runge-Kutta (FRK)
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There are several extensions of "B-series for Runge-Kutta methods" that could also be implemented in this package:
- [ ] P-series for partitioned methods (see HNW II.15) and NB-series for additive …
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diffrax 0.6.0
jax 0.4.30
Using jax.experimental.enable_x64 and jit will return a exception.
```python
import jax
import jax.numpy as jnp
import diffrax
key = jax.random.PRNGKey(0)
x1 = …
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**Please describe the problem you are trying to solve.**
If you use Runge-Kutta methods as time stepping schemes, you can relatively easy implement them by
defining the weak form for the stages of …
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Here are some additional papers describing/developing/analysing Runge-Kutta-Nyström methods:
- [ ] [Dormand, J. R., and PJi Prince. "New Runge-Kutta algorithms for numerical simulation in dynamical a…
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- [ ] http://people.math.sfu.ca/~jverner/TSRKIMPROVEDstart040803.pdf
- [ ] http://people.math.sfu.ca/~jverner/TSRKstart040505.pdf
- [ ] https://arxiv.org/pdf/1106.3626.pdf
- [ ] https://link.spring…
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https://www.sciencedirect.com/science/article/pii/S002199911730205X
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On the Yambo notes on [overleaf](https://www.overleaf.com/project/66a23dc37e8bf3627299a5b5) i wrote a detailled analysis of what I know of the numerical approaches to the solution of the real-time dyn…
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Pseudo-symplectic methods conserve quadratic invariants to a higher order of accuracy than their classical order of accuracy.
- [ ] [Capuano, Francesco, Gennaro Coppola, Luis Rández, and Luigi de L…
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This issue is a spin-off of https://github.com/wpilibsuite/allwpilib/issues/4373.
The Tsitouras 5th order integration method is 3x more accurate than Dormand-Prince (RKDP). It uses the exact same a…