(chap:stability1)=
# Multistep Methods: Zero-Stability and Convergence 

**Learning Objectives**

After completing this chapter, you should be able to:

- Understand the concept of numerical stability,
- Find the first, second and overall characteristic polynomials of a linear multistep method,
- Understand the root condition,
- Assess a linear multistep method in terms of
    - zero-stability
    - consistency
    - convergence


:::{tableofcontents}
:::