Liquid crystal display and driving method thereof

A method for driving a liquid crystal display, the method comprising:

• applying a first data voltage to a first liquid crystal capacitor and a second liquid crystal capacitor of the liquid crystal display by turning on a first switching element and the second switching element of the liquid crystal display;
• and
• applying a second data voltage having a polarity the same as a polarity of the first data voltage to a first terminal of a boost capacitor of the liquid crystal display by turning on a boost switching element of the liquid crystal display after the first switching element and the second switching element are turned off,
• wherein the liquid crystal display comprises:
• a plurality of gate lines including a first gate line;
• a plurality of data lines including a first data line crossing the first gate line;
• the first switching element connected with the first gate line and the first data line;
• the second switching element connected with the first gate line and the first data line;
• the first liquid crystal capacitor connected with the first switching element;
• the second liquid crystal capacitor connected with the second switching element;
• the boost switching element which is directly connected with a data line of the plurality of data lines;
• and
• the boost capacitor including the first terminal connected with the boost switching element and a second terminal connected with the first liquid crystal capacitor.