3 papers
math.NA2025
A Besov-based integration-by-parts method for the incompressible Navier-Stokes equations
Xinyu Cheng, Zhaonan Luo, Sheng Wang
This note introduces a novel numerical analysis framework for the incompressible Navier-Stokes equations based on Besov spaces. The key contribution of this note is to establish th…
cs.SD2024
Leveraging Contrastive Learning and Self-Training for Multimodal Emotion Recognition with Limited Labeled Samples
Qi Fan, Yutong Li, Yi Xin +3
The Multimodal Emotion Recognition challenge MER2024 focuses on recognizing emotions using audio, language, and visual signals. In this paper, we present our submission solutions f…
math.NA2024
On semi-implicit schemes for the incompressible Euler equations via the vanishing viscosity limit
Xinyu Cheng, Zhaonan Luo, Sheng Wang
A new type of systematic approach to study the incompressible Euler equations numerically via the vanishing viscosity limit is proposed in this work. We show the new strategy is un…