Jianfeng Lu

Jianfeng Lu
  • Associate Professor of Mathematics
  • Associate Professor of Chemistry (Secondary)
  • Associate Professor of Physics (Secondary)
External address: 242 Physics Bldg, 120 Science Drive, Durham, NC 27708
Internal office address: Mathematics Department, Duke University, Box 90320, Durham, NC 27708
Phone: (919) 660-2875

Research Areas and Keywords

Analysis
electronic structure models, calculus of variations, semiclassical analysis
Computational Mathematics
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
Mathematical Physics
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
Physical Modeling
electronic structure models, multiscale modeling and simulations, rare events simulation, computational physics, kinetic equations, nonlinear Schroedinger equations, quantum chemistry, computational statistical mechanics
Probability
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.

Education & Training
  • Ph.D., Princeton University 2009

Schütte, Christof, et al. “Markov state models based on milestoning.” The Journal of Chemical Physics, vol. 134, no. 20, AIP Publishing, May 2011, pp. 204105–204105. Crossref, doi:10.1063/1.3590108. Full Text

Lin, L., et al. “Fast construction of hierarchical matrix representation from matrix-vector multiplication.” Journal of Computational Physics, vol. 230, no. 10, May 2011, pp. 4071–87. Scopus, doi:10.1016/j.jcp.2011.02.033. Full Text Open Access Copy

Daubechies, Ingrid, et al. “Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool.” Applied and Computational Harmonic Analysis, vol. 30, no. 2, Elsevier BV, Mar. 2011, pp. 243–61. Crossref, doi:10.1016/j.acha.2010.08.002. Full Text

Lin, Lin, et al. “SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix.” Acm Transactions on Mathematical Software, vol. 37, no. 4, Association for Computing Machinery (ACM), Feb. 2011, pp. 1–19. Crossref, doi:10.1145/1916461.1916464. Full Text

E, Weinan, and Jianfeng Lu. “The Electronic Structure of Smoothly Deformed Crystals: Wannier Functions and the Cauchy–Born Rule.” Archive for Rational Mechanics and Analysis, vol. 199, no. 2, Springer Science and Business Media LLC, Feb. 2011, pp. 407–33. Crossref, doi:10.1007/s00205-010-0339-1. Full Text

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

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, W., et al. “Effective Maxwell equations from time-dependent density functional theory.” Acta Math. Sin., vol. 32, 2011, pp. 339–339. 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

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