Numerical continuation

Numerical continuation is a computational technique used in numerical analysis and applied mathematics to study the behavior of solutions to parameterized equations. It allows researchers to track the solutions of these equations as the parameters change gradually, providing insights into their stability and how they evolve. The key ideas involved in numerical continuation include: 1. **Parameter Space Exploration:** Many mathematical problems can be expressed in terms of equations that depend on one or more parameters. As these parameters change, the behavior of the solutions can vary significantly.