Spacecraft mission will become more common. There are relevant open projects such that Mars colonization and exploring missions outside the Solar System.
These missions require high accuracy calculations because the error propagates in time and would be able to modify the trajectory.
There are many ways to face this problem: analytical or numerical approaches.
The analytical approaches could only be used for simplified problems, and thus it is really restrictive.
The numerical approaches commonly used and include metaheuristics and nonlinear programming. I have used genetic algorithms to solve a basic problem which consists of optimizing trajectory to travel to Mars from the Earth.
They are optimized and work properly. However, there are significant differences in performance.
The GPU library can adapt to other Nvidia graphic card and furthermore improve the time that I obtain within my circumstances. In addition, the graphics card industry is constantly improving their models and we have recently seen the clusters of the graphics card in the business.
The CPU library is stable and can work on any computer because it does not rely on Nvidia hardware, it is a completely cross-platform library that only needs Eigen library which is compatible with every OS.
I have used for the test: i7-7700k vs Nvidia GeForce GTX 1070