Research

1. Dynamic Nonlinear Multicontinuum Homogenization of Systems with Intrinsically Evolving Microstructure

with Mohammed Al-Kobaisi, Dmitry Ammosov, Yalchin Efendiev, Wing Tat Leung

arXiv preprint arXiv:2511.11874

2. Multicontinuum Homogenization for Two-Phase Model with Linear Transport

with Yalchin Efendiev, Wing Tat Leung, Dmitry Ammosov, Mohammed Al-Kobaisi

Computational Methods in Applied Mathematics, 2026

3. Locally Subspace-Informed Neural Operators for Efficient Multiscale PDE Solving

with Alexander Rudikov, Vladimir Fanaskov, Sergei Stepanov, Ekaterina Muravleva, Yalchin Efendiev, Ivan Oseledets

ICLR, 2026

4. Multicontinuum Splitting Schemes for Multiscale Wave Problems

with Mohsen Alshahrani

Journal of Computational and Applied Mathematics, 2026

5. Multicontinuum Splitting Scheme for Multiscale Flow Problems

with Yalchin Efendiev, Wing Tat Leung, Min Wang

Journal of Computational Physics, 2025

6. Multicontinuum Homogenization for Coupled Flow and Transport Equations

with Dmitry Ammosov, Wing Tat Leung, Jian Huang

Journal of Computational and Applied Mathematics, 2025

7. Computer-Assisted Interpreting System for Multilingual Conferences Based on Automatic Speech Recognition

with Jichao Liu, Chengpan Liu, Ömer S. Ganiyusufoglu

IEEE Access, 2024