The disclosure provides an approach for modifying a kernel by adding conditional halting points. The disclosure also provides an approach for modifying a kernel by implementing a virtual shared memory between an application running on a CPU and a workload running on a compute accelerator. The disclosure provides an approach for setting up the kernel and its working set on a compute accelerator, executing the workload, suspending the workload, and then resuming the workload at a later time, optionally on a different host computer.