Research Interests for Jianfeng Lu

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. Feng, Y; Lu, J, SOLUTION THEORY OF HAMILTON--JACOBI--BELLMAN EQUATIONS IN SPECTRAL BARRON SPACES, SIAM Journal on Mathematical Analysis, vol. 58 no. 1 (January, 2026), pp. 636-660 [doi] [abs]
2. Lang, Q; Lu, J, Learning Memory Kernels in Generalized Langevin Equations, SIAM Journal on Mathematics of Data Science, vol. 8 no. 1 (January, 2026), pp. 141-166 [doi] [abs]
3. Zhu, G; Bierman, J; Lu, J; Li, Y, Quantum circuit for non-unitary linear transformation of basis sets, Npj Quantum Information, vol. 11 no. 1 (December, 2025) [doi] [abs]
4. Chen, Z; Lu, J; Lu, Y; Zhang, X, FULLY DISCRETIZED SOBOLEV GRADIENT FLOW FOR THE GROSS-PITAEVSKII EIGENVALUE PROBLEM, Mathematics of Computation, vol. 94 no. 356 (November, 2025), pp. 2723-2760 [doi] [abs]
5. He, Y; Balasubramanian, K; Sriperumbudur, BK; Lu, J, Regularized Stein Variational Gradient Flow, Foundations of Computational Mathematics, vol. 25 no. 4 (August, 2025), pp. 1199-1257 [doi] [abs]