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.
explicit finite-difference maximum norm optimized scheme numerical dispersion simulated annealing algorithm