Exponential Integrators: Numerical methods that use the matrix exponential to integrate the linear part of a differential equation exactly, thereby mitigating stiffness-related challenges.

Consider an evolution equation with energy dissipation, $ {\textstyle\frac {\partial} {\partial t}}y (x,t)=Ay (x,t)+By (x,t)$ on a bounded x-domain Ω, where By signifies a dissipative perturbation to ...