Quadrature by Two Expansions: Evaluating Laplace Layer Potentials using Complex Polynomial and Plane Wave Expansions. - Lingyun Ding; Jingfang Huang; Jeremy Louis Marzuola (CoRR, 2019)

Lagrangian Flux Calculation Through a Fixed Planar Curve for Scalar Conservation Laws. - Qinghai Zhang; Lingyun Ding (SIAM J. Sci. Comput., 2019)

Quadrature by two expansions: Evaluating Laplace layer potentials using complex polynomial and plane wave expansions. - Lingyun Ding; Jingfang Huang; Jeremy Louis Marzuola; Zhuochao Tang (J. Comput. Phys., 2021)

Quadrature by Two Expansions for Evaluating Helmholtz Layer Potentials. - Jared Weed; Lingyun Ding; Jingfang Huang; Min Hyung Cho (J. Sci. Comput., 2023)

Optimal Stirring Strategies for Passive Scalars in a Domain with a General Shape and No-Flux Boundary Condition. - Sirui Zhu; Zhi Lin; Liang Li; Lingyun Ding (CoRR, 2024)

A comparative study of dynamic models for gravity-driven particle-laden flows. - Wing Pok Lee; Jonathan D. Woo; Luke Triplett; Yifan Gu; Sarah C. Burnett; Lingyun Ding; Andrea L. Bertozzi (Appl. Math. Lett., 2025)

Semi-implicit-explicit Runge-Kutta method for nonlinear differential equations. - Lingyun Ding (CoRR, 2025)

Lagrangian Particle Classification and Lagrangian Flux Identities for a Moving Hypersurface. - Lingyun Ding; Shuang Hu; Baiyun Huang; Qinghai Zhang (CoRR, 2025)