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New theoretical instability strips for δ  Sct and γ Dor stars are presented. These results have been obtained taking into account the perturbation of the convective flux following the treatment of Gabriel ([CITE]). For the first time, the red edge of the  δ  Sct instability strip for non-radial modes is obtained. The influence of this time-dependent convection (TDC) on the driving of the  γ Dor gravity modes is investigated. The results obtained for different values of the mixing-length parameter α are compared for the  γ Dor models. A good agreement with observations is found for models with  α between 1.8 and 2.0.

Theoretical instability strips forδScuti andγ Doradus stars