Lin, Lin Email: linlin at Math dot Princeton dot Edu Office Address: Fine Hall 210, Washington Road, Princeton, NJ 08544 Voice: (609) 258-3684

1. Develop efficient algorithms for metallic system in the framework of Density Functional Theory (DFT).
2. Study the the nuclear quantum effects associated to non-Boltzmann momentum distribution of quantum particles.

1. SelInv -- An Algorithm for Selected Inversion of a Sparse Symmetric Matrix (with W. E, J. Lu, J. Meza, C. Yang and L. Ying), submitted [.pdf]
2. A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calculations (with W. E, J. Lu, C. Yang and L. Ying), submitted [.pdf]
3. Pole-based approximation of the Fermi-Dirac function (with W. E, J. Lu and L. Ying), Chin. Ann. Math. 30B, 729, 2009 [.pdf]
4. Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems (with R. Car, W. E, J. Lu and L. Ying), Commun. Math. Sci., 7, 755 (2009) [.pdf]
5. Tunneling and delocalization effects in hydrogen bonded systems: A study in position and momentum space (with R. Car and J. Morrone), J. Chem. Phys. 130, 204511 (2009) [.pdf]
6. Multipole representation of the Fermi opreator with application to the electronic structure analysis of metallic systems (with R. Car, W. E and J. Lu), Phys. Rev. B, 79, 115133 (2009) [.pdf]

• APC503-AST557 : Analytical Techniques in Differential Equations (Fall 2008)