- Associate Professor of Mathematics
- Associate Professor of Physics (Secondary)
- Associate Professor of Chemistry (Secondary)
- Associate Professor in Physics (Secondary)
Research Areas and Keywords
electronic structure models, calculus of variations, semiclassical analysis
electronic structure models, multiscale modeling and simulations, numerical analysis, rare events simulation, computational physics, time-frequency analysis, fast algorithms, stochastic numerical methods, kinetic equations, nonlinear Schrodinger equations, quantum chemistry, computational statistical mechanics, optimization, high frequency wave propagation
electronic structure models, quantum chemistry, kinetic theory, quantum information
PDE & Dynamical Systems
multiscale modeling and simulations, numerical analysis, calculus of variations, kinetic equations, Schroedinger equations
electronic structure models, multiscale modeling and simulations, rare events simulation, computational physics, kinetic equations, nonlinear Schroedinger equations, quantum chemistry, computational statistical mechanics
rare events simulation, computational statistical mechanics, stochastic numerical methods
Signals, Images & Data
time-frequency analysis, fast algorithms, optimization, applied harmonic analysis
Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm development for problems from computational physics, theoretical chemistry, materials science and other related fields.
More specifically, his current research focuses include:
Electronic structure and many body problems; quantum molecular dynamics; multiscale modeling and analysis; rare events and sampling techniques.
Lin, L., et al. “Fast construction of hierarchical matrix representation from matrix-vector multiplication.” Journal of Computational Physics, vol. 230, no. 10, Jan. 2011, pp. 4071–87. Scopus, doi:10.1016/j.jcp.2011.02.033. Full Text Open Access Copy
Lin, Lin, et al. “A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calculations.” Siam Journal on Scientific Computing, vol. 33, no. 3, Society for Industrial & Applied Mathematics (SIAM), Jan. 2011, pp. 1329–51. Crossref, doi:10.1137/09077432x. Full Text
Noe, Frank, et al. “Markov state models based on milestoning.” J. Chem. Phys., vol. 134, 2011, p. 204105.
Lu, J., and X. Yang. “Frozen Gaussian approximation for high frequency wave propagation.” Communications in Mathematical Sciences, vol. 9, no. 3, 2011, pp. 663–83. Open Access Copy
E, Weinan, and Jianfeng Lu. “Electronic structure of smoothly deformed crystals: Cauchy-born rule for the nonlinear tight-binding model.” Communications on Pure and Applied Mathematics, vol. 63, no. 11, Wiley, Nov. 2010, pp. 1432–68. Crossref, doi:10.1002/cpa.20330. Full Text
E, W., et al. “Localized bases of eigensubspaces and operator compression.” Proceedings of the National Academy of Sciences, vol. 107, no. 4, Proceedings of the National Academy of Sciences, Jan. 2010, pp. 1273–78. Crossref, doi:10.1073/pnas.0913345107. Full Text
Lin, Lin, et al. “Pole-based approximation of the Fermi-Dirac function.” Chin. Ann. Math. Ser. B, vol. 30, 2009, pp. 729–42. Open Access Copy
Lin, Lin, et al. “Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems.” Commun. Math. Sci., vol. 7, 2009, pp. 755–77.
Garcia-Cervera, Carlos J., et al. “Sequential multiscale modelling using sparse representation.” Commun. Comput. Phys., vol. 4, 2008, pp. 1025–33.
E, Weinan, and Jianfeng Lu. “The Elastic Continuum Limit of the Tight Binding Model*.” Chinese Annals of Mathematics, Series B, vol. 28, no. 6, Springer Science and Business Media LLC, Dec. 2007, pp. 665–76. Crossref, doi:10.1007/s11401-006-0447-2. Full Text