METHODS TUNED ON THE PHYSICAL PROBLEM. A WAY TO IMPROVE NUMERICAL CODES

摘要

We consider the problem on how the numerical methods tuned on the physical problem can contribute to the enhancement of the performance of the codes. We illustrate this on two simple cases: solution of time independent one-dimensional Schrodinger equation, and the computation of integrals with oscillatory integrands. In both cases the tuned versions bring a massive gain in accuracy at negligible extra cost.