Abstract We study the time-sliced thawed Gaussian propagation method, which was recently proposed for solving time-dependent Schrödinger equation. introduce a triplet of quadrature-based analysis, synthesis and re-initialization operators to give rigorous mathematical formulation method. Further, we derive combined error bounds discretization wave packet transform time-propagation basis functio...

In this paper, we obtain uniform and non-uniform bounds on the Kolmogorov distance in normal approximation for Jack deformations of character ratio, by using Stein’s method zero-bias couplings. Our bound comes very close to that conjectured Fulman (J. Combin. Theory Ser. A 108 (2004) 275–296). As a by-product proof bound, Rosenthal-type inequality

Harmonic balance (HB) method is well known principle for analyzing periodic oscillations on nonlinear networks and systems. Because the HB method has a truncation error, approximated solutions have been guaranteed by error bounds. However, its numerical computation is very time-consuming compared with solving the HB equation. This paper proposes an algebraic representation of the error bound us...