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
  1. Chen, Z; Lu, J; Lu, Y; Zhang, X, On the Convergence of Sobolev Gradient Flow for the Gross–Pitaevskii Eigenvalue Problem, SIAM Journal on Numerical Analysis, vol. 62 no. 2 (April, 2024), pp. 667-691, Society for Industrial & Applied Mathematics (SIAM) [doi]
  2. Li, X; Pura, J; Allen, A; Owzar, K; Lu, J; Harms, M; Xie, J, DYNATE: Localizing rare-variant association regions via multiple testing embedded in an aggregation tree., Genet Epidemiol, vol. 48 no. 1 (February, 2024), pp. 42-55 [doi] [abs]
  3. Jing, Y; Chen, J; Li, L; Lu, J, A Machine Learning Framework for Geodesics Under Spherical Wasserstein–Fisher–Rao Metric and Its Application for Weighted Sample Generation, Journal of Scientific Computing, vol. 98 no. 1 (January, 2024) [doi] [abs]
  4. Wang, Z; Zhang, Z; Lu, J; Li, Y, Coordinate Descent Full Configuration Interaction for Excited States., Journal of chemical theory and computation, vol. 19 no. 21 (November, 2023), pp. 7731-7739 [doi] [abs]
  5. Cao, Y; Lu, J; Wang, L, On Explicit L2 -Convergence Rate Estimate for Underdamped Langevin Dynamics, Archive for Rational Mechanics and Analysis, vol. 247 no. 5 (October, 2023) [doi] [abs]