Príklady integrator

• The power of the method of backward error analysis and the method of modified equations can be demonstrated in the context of geometric integrators.

• It is just one of a series of results on the long-time behaviour of geometric integrators.

• This example, which is hardly atypical, raises important questions regarding the basis for relying on symplecticness as a key criterion for molecular dynamics integrators.

• However, as we will see below, for some classes, namely symplectic and volume-preserving polynomial vector fields, we can construct explicit polynomial integrators by splitting.

• For autonomous systems, it will thus generally be preferable to use a standard variational integrator, and not to enforce exact energy conservation.

• We want integrators that preserve the foliation automatically.

• Improved grower/integrator relations would enhance the poultry industry.

• The order of this approximation is related to the order of the resulting integrator.

• As we shall see later, more sophisticated quadrature rules lead to higher-order accurate integrators.

• This filter avoids potential problems owing to the infinite gain of the integrator at zero frequency.

• Each of these vector fields is then split and an integrator constructed by composition.

• The data were corrected for a repeatable drift component of the integrator as determined with d. c. calibration.

• That paper gives some simple specific examples that show the advantage in using these types of integrators.

• Mean response latencies were measured as the time between the stimulus onset and the time at which the integrator output reached 50% of peak amplitude.

• To accommodate the force, we simply employed an integrator on the force error signal, with no feedforward term.