Tutorial

Introduction

This tutorial is intended to give a short introduction to the Assimulo package for solving both explicit and implicit ordinary differential equations. The tutorial focuses on the solvers IDA and CVode which are part of the SUNDIALS package written in C. In Assimulo these solvers have been lifted to Python to provide an easy interface and an easy platform for experimenting.

The tutorial serves also a short introduction for students taking the course FMNN05 at Lund University , Lund, Sweden.

Chapters

• Simulation in three steps
  • Problem
  • Solver
  • Execution:
• Explicit Problems (ODEs)
  • Problem formulation
  • Creating an Assimulo CVode solver instance
  • Simulate
  • Setting options and parameters
• Implicit Problems (DAEs)
  • Problem formulation
  • Creating an Assimulo solver instance
  • Simulate
• Discontinuous problems
  • State depending discontinuities
  • Example
• Sundials

Additional information

The Assimulo package comes with a number of examples, showing how to use the different solvers on different types of problem. These examples can be found here.

Note

If there are any questions about a method or class, it is recommended to have a look at the docstrings. For example, when using IPython, the docstrings are displayed by entering the name of the method/class followed by a question mark(?). Example,

CVode.atol?