One embodiment of the present disclosure sets forth an enhanced way for GPUs to queue new computational tasks into a task metadata descriptor queue (TMDQ). Specifically, memory for context data is pre-allocated when a new TMDQ is created. A new TMDQ may be integrated with an existing TMDQ, where computational tasks within that TMDQ include task from each of the original TMDQs. A scheduling operation is executed on completion of each computational task in order to preserve sequential execution of tasks without the use of atomic locking operations. One advantage of the disclosed technique is that GPUs are enabled to queue computational tasks within TMDQs, and also create an arbitrary number of new TMDQs to any arbitrary nesting level, without intervention by the CPU. Processing efficiency is enhanced where the GPU does not wait while the CPU creates and queues tasks.