Devito

"Devito is a new tool for performing optimised Finite Difference (FD) computation from high-level symbolic problem definitions. Devito performs automated code generation and Just-In-time (JIT) compilation based on symbolic equations defined in SymPy to create and execute highly optimised Finite Difference kernels on multiple computer platforms."

https://github.com/opesci/devito

Devito: automated fast finite difference computation - http://arxiv.org/abs/1608.08658