Surround the Callable.call method or the Runnable.run method with a try/catch...
eg:
public void run()
{
try
{
// ... code
}
catch(final IOEException ex)
{
// handle it
}
catch(final RuntimeException ex)
{
// handle it
}
catch(final Exception ex)
{
// handle it
}
catch(final Error ex)
{
// handle it
}
catch(final Throwable ex)
{
// handle it
}
}
Note that catching anything other than what the compiler tells you too (the IOException in my sample) isn't a good idea, but there are some times, and this sounds like one of them, that it can work out if you handle it properly.
Remember that things like Error are very bad - the VM ran out of memory etc... so be careful how you handle them (which is why I separated them out into their own handlers rather than just doing catch(final Throwable ex) and nothing else).