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**- Huang, Y; Lu, J; Ming, P,
*A Concurrent Globalâ€“Local Numerical Method for Multiscale PDEs*, Journal of Scientific Computing (February, 2018), pp. 1-28 [doi] [abs] - Lu, J; Zhou, Z,
*Accelerated sampling by infinite swapping of path integral molecular dynamics with surface hopping.*, Journal of Chemical Physics, vol. 148 no. 6 (February, 2018), pp. 064110 [doi] [abs] - Dai, S; Li, B; Lu, J,
*Convergence of Phase-Field Free Energy and Boundary Force for Molecular Solvation*, Archive for Rational Mechanics and Analysis, vol. 227 no. 1 (January, 2018), pp. 105-147 [doi] - Lu, J; Thicke, K,
*Cubic scaling algorithms for RPA correlation using interpolative separable density fitting*, Journal of Computational Physics, vol. 351 (December, 2017), pp. 187-202 [doi] - Cao, Y; Lu, J,
*Lindblad equation and its semiclassical limit of the Anderson-Holstein model*, Journal of Mathematical Physics, vol. 58 no. 12 (December, 2017) [doi] [abs]

- Huang, Y; Lu, J; Ming, P,