Use the Right Tools
If the screw head shows signs of corrosion, it is better to opt for ring spanners, hex sockets, or bi-hex sockets. These tools are supported on the six sides of the head to allow force to be better distributed. However, if the screw head is damaged or too blunt, locking pliers will provide the necessary gripping force to continue the removal process.
In some cases, a grinder can be used as a last resort to extract a screw and nut connection. This won't always be possible though, as there needs to be enough space for the grinder to access the problem assembly. Equipped with a thin disk for precision, an angle grinder could also be used to rework a stripped screw head to restore a new slot for extra grip. Creating a groove could also make it possible to insert a flat-head screwdriver.
Thermal Shock
As mentioned above, thermal shock is a method used to weaken rust. As the fastening heats and cools, the materials expand and contract, weakening the bonds created during the process of corrosion or seizing.
However, thermal shock with heat is more frequently used to free stuck bolts. The application of heat is typically carried out with a blow torch or heat gun. One method involves heating the bolt or screw head, before immediately shocking it with cold water to achieve a sudden difference in temperature.
Safety is paramount, so if you do use heat, make sure to remove any plastic or rubber components that could be damaged by high temperatures before you start. Similarly, ensure you have removed or cleaned away any potentially flammable lubricant or penetrating oil before applying heat.
Mechanical Shock
Impact wrenches or impact drivers may be able to overcome the seized or rusted screw. The shocks caused can break the bonds and may loosen stubborn screws. This technique is often used in the automotive industry for loosening wheel studs. The same result could also be achieved using a hammer to hit the screws with force.