2000 character limit reached
An Error Bound for the Time-Sliced Thawed Gaussian Propagation Method (2108.12182v2)
Published 27 Aug 2021 in math.NA and cs.NA
Abstract: We study the time-sliced thawed Gaussian propagation method, which was recently proposed for solving the time-dependent Schr\"odinger equation. We introduce a triplet of quadrature-based analysis, synthesis and re-initialization operators to give a rigorous mathematical formulation of the method. Further, we derive combined error bounds for the discretization of the wave packet transform and the time-propagation of the thawed Gaussian basis functions. Numerical experiments in 1D illustrate the theoretical results.