- Associate Professor of Mathematics
- Associate Professor of Chemistry (Secondary)
- Associate Professor of Physics (Secondary)
Research Areas and Keywords
PDE & Dynamical Systems
Signals, Images & Data
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.
Lu, J, and Yang, X. "Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods." Multiscale Modeling and Simulation 10.2 (2012): 451-472. Full Text Open Access Copy
Lu, J, and Yang, X. "Convergence of frozen Gaussian approximation for high-frequency wave propagation." Communications on Pure and Applied Mathematics 65.6 (2012): 759-789. Full Text Open Access Copy
Daubechies, I, Lu, J, and Wu, H-T. "Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool." Applied and Computational Harmonic Analysis 30.2 (March 2011): 243-261. Full Text
Lin, L, Yang, C, Meza, JC, Lu, J, Ying, L, and E, W. "SelInv---An Algorithm for Selected Inversion of a Sparse Symmetric Matrix." ACM Transactions on Mathematical Software 37.4 (February 1, 2011): 1-19. Full Text
E, W, and Lu, J. "The Electronic Structure of Smoothly Deformed Crystals: Wannier Functions and the Cauchy–Born Rule." Archive for Rational Mechanics and Analysis 199.2 (February 2011): 407-433. Full Text
Lu, J, and Yang, X. "Frozen Gaussian approximation for high frequency wave propagation." Communications in Mathematical Sciences 9.3 (2011): 663-683.
Lin, L, Yang, C, Lu, J, Ying, L, and E, W. "A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calculations." SIAM Journal on Scientific Computing 33.3 (January 2011): 1329-1351. Full Text
E, W, and Lu, J. "Multiscale modeling." Scholarpedia 6 (2011): 11527-. (Review)
Lin, L, Lu, J, and Ying, L. "Fast construction of hierarchical matrix representation from matrix-vector multiplication." Journal of Computational Physics 230.10 (2011): 4071-4087. Full Text Open Access Copy