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math.NA2025
Error Analysis on a Novel Class of Exponential Integrators with Local Linear Extension Techniques for Highly Oscillatory ODEs
Zhihao Qi, Weibing Deng, Fuhai Zhu
This paper investigates a class of non-autonomous highly oscillatory ordinary differential equations characterized by a linear component inversely proportional to a small parameter…
math.NA2025
A Stabilized Unfitted Space-time Finite Element Method for Parabolic Problems on Moving Domains
Ruizhi Wang, Weibing Deng
This paper presents a space-time finite element method (FEM) based on an unfitted mesh for solving parabolic problems on moving domains. Unlike other unfitted space-time finite ele…