We consider methods for dynamic coupled problems, in particular partitioned solvers for fluid-structure interaction and thermal transfer where different sub-solvers are used for the different domains. To further improve the computational efficiency, different and adaptive time steps in the sub solvers are employed. Using so called waveform iterations, these goals have been achieved for heat transfer problems. Quasi-Newton methods have recently been combined with waveform iterations for the case of constant time grids. In this talk we further extend the Quasi-Newton waveform iterations to the time adaptive case, where both of the sub-solvers use an adaptive time stepping scheme. We also present the general framework of waveform iterations and their implementation in the open source coupling library PreCICE. Lastly, we also show that using a time adaptive solver results in faster run times for both a thermal transfer and fluid-structure test case.