We present finite temperature simulations results for energy and structure of molecules helium clusters X4He20 (XHCCH and LiH) which show a marked improvement over the Trotter approximation which has a 2nd-order time step bias.
To overcome this limitation, the Taylor series expansion is used to simplify the phase terms in (26), with a sufficient precision of approximation which has been verified in [39].
The fourth definition makes use of the hyperbolic tangent approximation, which has a natural asymptotic characteristic.
The present paper proposes a simple model based on the point kinetics approximation, which has been set up deriving an alternative formulation of the time-dependent neutron transport equation.
To numerically model the holographic microscopic imaging of the nanoparticles and nanolenses, we first treat the nanoparticles and nanolenses using the thin-lens approximation, which has been shown to be equivalent to an FDTD simulation for similar objects, although here we model the materials using complex refractive indices to account for absorption and scattering.
end{aligned} (12) Also, when X has paths of unbounded variation, the proof of exist problems often relies on an approximation idea, which has already appeared in various papers; see Albrecher and Ivanovs [3], Czarna [9] and Baurdoux et al. [10].
But their most evocative memories are also, by their nature, a kind of approximation, which have an emotional, rather than technical, precision.
The theoretical models provided for the program user are based on two quantum mechanical approximations which have proved to be very successful in the study of ionization in ion atom collisions.
Simulated data are commonly acknowledged to be approximations which have been generated based on previous data (e.g. [ 4]).
The high computational load of JLH comes from the fact that all parameters have to be estimated in one problem; the computational time in NONMEM and Monolix is reduced via various approximations, which have been developed over the years.
