Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive Exponential Integrators for MCTDHF   We compare exponential-type integrators for the numerical time-propagation of
the equations of motion arising in the multi-configuration time-dependent
Hartree-Fock method for the approximation of the high-dimensional
multi-particle Schr{\"o}dinger equation. We find that among the most widely
used integrators like Runge-Kutta, exponential splitting, exponential
Runge-Kutta, exponential multistep and Lawson methods, exponential Lawson
multistep methods with one predictor/corrector step provide optimal stability
and accuracy at the least computational cost, taking into account that the
evaluation of the nonlocal potential terms is by far the computationally most
expensive part of such a calculation. Moreover, the predictor step provides an
estimator for the time-stepping error at no additional cost, which enables
adaptive time-stepping to reliably control the accuracy of a computation.

20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat