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We construct efficient banks of templates suitable for directed searches ofalmost monochromatic gravitational waves originating from spinning nuetronstars in our Galaxy in data being collected by currently operatinginterferometric detectors. We thus assume that the position of thegravitational-wave source in the sky is known, but we do not assume that thewave's frequency and its derivatives are a priori known. In the construction weemploy simplified model of the signal with constant amplitude and phase whichis a polynomial function of time. All our template banks enable usage of thefast Fourier transform algorithm in the computation of the maximum-likelihoodF-statistic for nodes of the grids defining the bank. We study and employ thedependence of the grid's construction on the choice of the position of theobservational interval with respect to the origin of time axis. We also studythe usage of the fast Fourier transform algorithms with non-standard frequencyresolutions achieved by zero padding or folding the data. In the case of thegravitational-wave signal with one spindown parameter included we have foundgrids with covering thicknesses which are only 0.1%--16% larger than thethickness of the optimal two-dimensional hexagonal covering.

Banks of templates for directed searches of gravitational waves from spinning neutron stars