Exponential integrators for linear inhomogeneous problems

We consider the mildly stiff and stiff inhomogeneous linear initial value Problems sharing constant coefficients. Exponential Runge-Kutta methods are considered to tackle this problem. For this type of problem, we were able to save a function evaluation (stage) per step compared to the best available methods. This is important, as seen in various computational experiments where our current approach outperforms older ones.

Automated summary

The paper discusses the use of Exponential Runge-Kutta methods to solve linear initial value problems with constant coefficients. It saves a function evaluation per step compared to other methods, and computational experiments show its superior performance.