A method for managing tasks in a computer system comprising a processor and a memory, the method includes performing a first task by the processor, the first task comprising task-relating branch instructions and task-independent branch instructions and executing the branch prediction method, the execution resulting in task-relating branch prediction data in the branch prediction history table. In response to determining that the first task is to be interrupted or terminated, the method includes storing the task-relating branch prediction data of the first task in the task structure of the first task. In response to determining that a second task is to be continued, the method includes reading task-relating branch prediction data of the second task from the task structure of the second task, storing the task-relating branch prediction data of the second task in the branch prediction history table, and ensuring that task-independent branch prediction data is maintained.