# Numerically Solving Ordinary Differential Equations

- By: Stuart Brorson
- Publisher: Northeastern University
- Source: [LibreTexts](https://math.libretexts.org/Bookshelves/Differential_Equations/Numerically_Solving_Ordinary_Differential_Equations_(Brorson))
- Licence: [CC BY-SA 3.0](https://creativecommons.org/licenses/by-sa/3.0/)
- Read at LibreTexts: https://math.libretexts.org/Bookshelves/Differential_Equations/Numerically_Solving_Ordinary_Differential_Equations_(Brorson)
- PDF: https://downloads.libretexts.org/api/v1/download/math-108067/pdf

The booklet covers basic Euler solvers, Runge-Kutta, and linear multistep methods and discusses explicit vs. implicit methods. It discusses stability and the stability domains of some of the methods and talks about adaptive methods and the concept of stiffness and concluding with a chapter on symplectic methods and why they are important. Beyond the solver algorithms, the book includes many example ODEs and shows their solutions using the methods discussed. Matlab programs accompany the text.