Exponential integrator

Exponential integrators are a class of numerical methods used to solve ordinary differential equations (ODEs) and partial differential equations (PDEs) that have a specific structure, particularly those for which the system can be described by linear equations combined with nonlinear components. They are particularly effective for stiff problems or equations where the linear part dominates the behavior of the solution. The core idea behind exponential integrators is to exploit the properties of the matrix exponential in the context of linear systems.