## Research Interests for Jianfeng Lu

**Research Interests:**
Mathematical analysis and algorithm development for problems from

computational physics, theoretical chemistry, materials science and others.

More specifically:

Electronic structure and many body problems;

Multiscale modeling and analysis; and

Rare events and sampling techniques.

**Areas of Interest:**
Applied Mathematics

Partial Differential Equations

Probability

Numerical Analysis

Scientific Computing

**Recent Publications**
- Cao, Y; Lu, J,
*Stochastic dynamical low-rank approximation method*,
Journal of Computational Physics, vol. 372
(November, 2018),
pp. 564-586 [doi] [abs]
- Li, X; Liu, J; Lu, J; Zhou, X,
*Moderate deviation for random elliptic PDE with small noise*,
The Annals of Applied Probability, vol. 28 no. 5
(October, 2018),
pp. 2781-2813 [doi] [abs]
- Barthel, T; Lu, J,
*Fundamental Limitations for Measurements in Quantum Many-Body Systems.*,
Physical Review Letters, vol. 121 no. 8
(August, 2018),
pp. 080406 [doi] [abs]
- Huang, Y; Lu, J; Ming, P,
*A Concurrent Globalâ€“Local Numerical Method for Multiscale PDEs*,
Journal of Scientific Computing, vol. 76 no. 2
(August, 2018),
pp. 1188-1215 [doi] [abs]
- You, Z; Li, L; Lu, J; Ge, H,
*Integrated tempering enhanced sampling method as the infinite switching limit of simulated tempering.*,
The Journal of Chemical Physics, vol. 149 no. 8
(August, 2018),
pp. 084114 [doi] [abs]