9.2NAMar 23
Long-time behavior of multi-step Finite Difference schemes with boundary via steepest descent and analytic combinatoricsThomas Bellotti, Tommaso Tenna
We demonstrate how steepest descent arguments and singularity analysis from analytic combinatorics allow for an accurate description of the behavior of linear numerical schemes -- including the notorious leap-frog scheme -- in presence of stable and unstable boundary conditions in the long-time limit.