Recent advances of ab initio calculations in condensed matter physics

Recent advances of ab initio calculations in condensed matter physics are presented, with regard to the following eight issues. 1. Two ways of thought in static density functional theory; 2. Functional forms in solid state theory; 3. Time dependent density functional theory and density matrix functional theory; 4. Calculations of band structure in semiconductors: band gap and band order; 5. f electrons and strong correlated metals; 6. Mott insulators; 7. Noncovalent (weak) interactions; 8. Wave function based research. Some background knowledge is presented also.