Optimized explicit finite-difference schemes for spatial derivatives using maximum norm

- We propose an optimized scheme using the maximum norm and the simulated annealing.
- The maximum norm offers the largest set of possible solutions for solvers to search.
- The explicit finite-difference operator is greatly improved by our optimized scheme.
- We use a tight error limitation to make accuracy improvement to be high and solid.
- Our optimized scheme allows greater saving of computational cost and memory demand.