First of all, this method was not originally my idea. I noticed that there was not an Instructable on this subject, and I decided to make one. Feel free to leave tips, suggestions, or questions in the comment section.
This technique is known as Batoning, and it is most useful (in my experience) when splitting thin pieces of wood for kindling, or for when the surface you are splitting on is not completely level.
From Wikipedia: This technique is useful for the simple splitting of wood for kindling, to access dry wood within a wet log, and for the production of shingles, slats, or boards. It is also useful for cutting notches, or making clean crosscuts against the grain of the wood. Batoning requires much less energy to perform than chopping, which is helpful in survival situations where energy should be conserved. The technique is also especially useful when a chopping tool is not available.
Step 1: Gather Materials
Work Gloves (I'm not using gloves because it was hard to work the camera with gloves on)
Splitting wood can be a dangerous activity. I am not responsible for any injury to yourself or others as a result of this method. Be Careful.
A stump/sturdy surface
A log to use as a club/hammer
Should be easy to hold and swing with one hand
A fixed-blade knife
The knife you use should have a thick spine, and a grippy/secure handle.
Do not use a kitchen knife; do not use a folding knife. Both will probably break.
The blade of the knife needs to be longer than the diameter of what you intend to split
Warning: There is the potential that the blade of your knife will break off into the log. I have never had this happen to me, but just beware.
Wood to split: Should be cut to size to use in a fire.