This is similar to the way you tie shoelaces. Wrap the scarf all the way around your neck, and without letting go of the ends, cross them behind your back and bring them back to the front. One end should be longer than the other. Cross the long end with the short one and pull the long end through the loop. Arrange the ends so that the shorter end is covered by the longer one across your chest. This is the most recommended way of tying a scarf for cold places. Remember to put the ends of the scarf under your jacket/coat and not let them hang outside.
This style requires a medium-length scarf. Drape the scarf around your neck such that the ends hang flat across your chest. One end should reach your mid-chest while the other should reach your upper waist. Make a knot on one end and slip the other end through it. Pull the knot to tighten. If the knot is too tight for the other end to pass through, loosen the knot without undoing it. Note that a patterned or chequered scarf is better for this purpose since the knot will be easier to see.
Once or Twice Around
For this style, choose a long scarf. Hang the scarf around your neck so that the ends sew hanging across your chest. Now throw one end of the scarf across your opposite shoulder and then bring it back to the front for a once-around. In case of twice around, pass the long end of the scarf around your neck once more to make a snug fit. This style can either be moderate or warm and can be worn with all kinds of coats and jackets.