Solving forward and inverse problems in a non-linear 3D PDE via an asymptotic expansion based approach. - Dmitrii Chaikovskii; Ye Zhang (CoRR, 2022)

Asymptotic expansion regularization for inverse source problems in two-dimensional singularly perturbed nonlinear parabolic PDEs. - Dmitrii Chaikovskii; Aleksei Liubavin; Ye Zhang (CoRR, 2022)

Convergence analysis for forward and inverse problems in singularly perturbed time-dependent reaction-advection-diffusion equations. - Dmitrii Chaikovskii; Ye Zhang (J. Comput. Phys., 2022)

Some General Heuristics in the Traveling Salesman Problem and the Problem of Reconstructing the DNA Chain Distance Matrix. - Boris Feliksovich Melnikov; Dmitrii Chaikovskii (CSAI, 2023)

Asymptotic solution for three-dimensional reaction-diffusion-advection equation with periodic boundary conditions. - Aleksei Liubavin; Mingkang Ni; Ye Zhang; Dmitrii Chaikovskii (CoRR, 2025)

Internal layer solutions and coefficient recovery in time-periodic reaction-diffusion-advection equations. - Dmitrii Chaikovskii; Ye Zhang; Aleksei Liubavin (CoRR, 2025)

Deep asymptotic expansion method for solving singularly perturbed time-dependent reaction-advection-diffusion equations. - Qiao Zhu; Dmitrii Chaikovskii; Bangti Jin; Ye Zhang (CoRR, 2025)