The effectiveness of this method in groundwater chemistry over the traditional piper and stiff schemes stems from its ability to further reveal hidden inter-variable relationships and allow the use of virtually limitless numbers of variable, thus trace elements and physical parameters can be part of the classification parameters.
One of the important steps in this project is the study of explicit and implicit time integration schemes for the stiff system of ordinary differential equations, as well as implementations of these schemes on HPC systems.
Computed results show that the stiff reaction scheme enables selection of larger time steps and thus leads to substantial improvement in the performance of the computations.
As a result, the demanding problem of constructing SIM of any dimensions is recast into the remarkably simpler task of solving a properly devised ODE system by stiff numerical schemes available in the literature.
If high frequencies are present in the system, i.e. the system is physically stiff, dissipative schemes become necessary; the proposed algorithm is extended to deal with this situation.
It is demonstrated how for large stiff systems these schemes provide an efficient alternative to standard integrators for computing solutions over long time intervals.
Two more leaders of Anderson's Ark, a two-decade-old tax evasion scheme, received stiff prison sentences this week, but the group's founder continues to fight extradition from Costa Rica, which is now investigating two Internal Revenue Service agents who investigated the scheme.
We used the Exponential Time Differencing (ETD) Euler Method for the discretisation in time (with the exponential five Runge-Kutta scheme of stiff order for been used in the computation).
Planned by the North Eastern Electric Supply Company (NESCo) in 1944, it was never realised as the scheme faced stiff opposition from those who claimed it would obstruct views of the historic Durham Cathedral from the East Coast Main Line.
It is well known that for stiff ODE systems explicit schemes can give rise to numerical instability or, alternatively, extremely small time steps.
