# Ordinary differential equations

Thou, silent form, dost tease us out of thought / As doth eternity

March 28, 2019 — March 28, 2019

Nothing here except a note about my favourite pragmatic intro to ODE analysis:

Homer Reid’s 18.305, *Advanced Analytic Methods in Science and Engineering*.

More to come, maybe. I might mention, say, the extensions to fractional DEs or stochastic DEs or partial differential equations or…

## 1 References

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*Computational Optimization of Systems Governed by Partial Differential Equations*. Computational Science and Engineering Series.
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*Advances in Neural Information Processing Systems 31*.
Dandekar, Chung, Dixit, et al. 2021. “Bayesian Neural Ordinary Differential Equations.”

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Hairer, E., Lubich, and Wanner. 2010.

*Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations*. Springer Series in Computational Mathematics 31.
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*Solving Ordinary Differential Equations I: Nonstiff Problems*. Springer Series in Computational Mathematics 8.
Hairer, Ernst, Wanner, and Hairer. 2010.

*Solving ordinary differential equations 2: Stiff and differential-algebraic problems*. E. Hairer ; 2.
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*Differential Equations Driven by Rough Paths*. Lecture Notes in Mathematics.
Reid. 2015.

*Advanced Analytic 18.305 Methods in Science and Engineering*.