4 papers
Hyb-Adam-UM: hybrid ultrametric-aware mtDNA phylogeny reconstruction
Dmitrii Chaikovskii, Weilai Qu, Boris Melnikov +2
Motivation: mtDNA distance matrices are standard inputs for distance-based phylogeny, but computing all pairwise alignments is costly. Missing entries can degrade inferred topology…
Deep asymptotic expansion method for solving singularly perturbed time-dependent reaction-advection-diffusion equations
Qiao Zhu, Dmitrii Chaikovskii, Bangti Jin +1
Physics-informed neural network (PINN) has shown great potential in solving partial differential equations. However, it faces challenges when dealing with problems involving steep…
Internal layer solutions and coefficient recovery in time-periodic reaction-diffusion-advection equations
Dmitrii Chaikovskii, Ye Zhang, Aleksei Liubavin
This article investigates the non-stationary reaction-diffusion-advection equation, emphasizing solutions with internal layers and the associated inverse problems. We examine a non…
Asymptotic solution for three-dimensional reaction-diffusion-advection equation with periodic boundary conditions
Aleksei Liubavin, Mingkang Ni, Ye Zhang +1
In this study, we investigate the dynamics of moving fronts in three-dimensional spaces, which form as a result of in-situ combustion during oil production. This phenomenon is also…