These equations, ascertained via Galerkin's method, have been transformed into a pair of time-dependent differential equations.
Then the differential equations, given as a coupled pair of time-dependent and time-independent equations, are altered to a fully time-dependent form, without loss of accuracy, but with much greater amenability to an efficient numerical solution method.
After the initiation step of the pairing of two monomers and irrespective of the investigated sequence, aggregate growth was found to proceed heterogeneously, as already seen in the series of time dependent oligomer size distributions (Fig. 3A and 3C).
timeDepEffects: List of time dependent variables.
The solution should be of sufficient generality to capture the rates of coalescence between all pairs of branches as a function of time-dependent births, migrations, and population size.
Within this technique the excitations are directly connected to the corresponding one-electron transition density matrices, obtained as eigenmodes of the time dependent Hartree Fock (TDHF) Liouville operator, which represent motions of electron/hole pairs.
A nonlinear time-varying dynamic model of a hypoid gear pair system with time-dependent nonlinear mesh stiffness, mesh damping and backlash properties is formulated to study the effect of mesh stiffness asymmetry for drive and coast sides on dynamic response.
Time dependent inversion of fault slip.
Segall, P. & Matthews, M. Time dependent inversion of geodetic data.
