Dr. Yanyan Shi

Interests#

• Geometric numerical integration
• Highly oscillatory problems

Publications#

• Yanyan Shi, Christian Lubich, Weighted finite difference methods for the semiclassical nonlinear Schrödinger equation with multiphase oscillatory initial data, May 2026.
• Yanyan Shi, Drift approximation by the modified Boris algorithm of charged-particle dynamics in toroidal geometry, May 2024.
• Ernst Hairer, Christian Lubich, Yanyan Shi, Leapfrog methods for relativistic charged-particle dynamics, November 2023.
• Christian Lubich, Yanyan Shi, On a large-stepsize integrator for charged-particle dynamics, February 2023.
• Ernst Hairer, Christian Lubich, Yanyan Shi, Large-stepsize integrators for charged-particle dynamics over multiple time scales, June 2022.
• Yanyan Shi, Yajuan Sun, Contact-PIC numerical methods for simulating Vlasov–Poisson–Fokker–Planck problem, June 2022.
• Yanyan Shi, Yajuan Sun, Yang He, Hong Qin, Jian Liu, Symplectic integrators with adaptive time step applied to runaway electron dynamics, January 2019.

Miscellaneous#

• Construction and Analysis of Geometric Integrators for Plasma Physics, PhD thesis, May 2021.

Teaching#

Office hours: open door policy.

• WS 2025/26: teaching assistant for Numerik (Prof. Prohl)
• SS 2025: Algorithms in Numerical Mathematics (co-lectured with Dr. Le Hénaff)
• WS 2024/25: teaching assistant for Numerik (Prof. Lubich)